Answer:
14.
Step-by-step explanation:
Plug 3 in for y:
= 4(3) + 8 - 2(3)
= 12 + 8 - 6
= 14.
Select the equation of the line in slope-intercept form: 4x + 9y = 36
Answer:
y= -4x/9+4
Step-by-step explanation:
4x+9y=36 (move 4x)
9y=-4x+36 (divide by 9)
y= -4/9x+36/9
y= -4x/9+4
What is the area of the shaded region? (25π – 48) cm2 (25π – 30) cm2 (25π – 24) cm2 (25π – 12) cm2
The area of the shaded region or portion in the circle is (25π - 24) cm².
How to find the area of the shaded portion in the circle?The area of the shaded portion in the circle is found by subtracting the area of the two triangles from the area of the circle.
Therefore,
area of the circle = πr²
where
r = radiusarea of a triangle = 1/ 2 bh
where
b = baseh = heightTherefore,
r = 5 cm
area of circle = 5²π = 25π cm
area of one triangle = 1 / 2 × 6 × 4 = 12 cm²
The area of the two triangles = 2(12) = 24 cm²
Hence,
area of the shaded portion = (25π - 24) cm²
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Diego wondered how far sixth-grade students could throw a ball. he decided to collect data to find out. he asked 10 friends to throw a ball as far as they could and measured the distance from the starting line to where the ball landed. the table shows the distances he recorded in feet.
40 76 40 63 47 57 49 55 50 53
find the median and iqr of the data set.
on a later day, he asked the same group of 10 friends to throw a ball again and collected another set of data. the median of the second data set is 49 feet, and the iqr is 6 feet.
did the 10 friends, as a group, perform better (or throw farther) in the second round compared to the first round? explain how you know.
were the distances in the second data set more variable or less variable compared to those in the first round? explain how you know.
The median of the number recorded in the question is 51.5 feet. This is obtained by dividing the sum of two numbers that occur centrally in half.
What is median?The central value in a list ordered from smallest to largest is the median of a set of values.
What is the Inter-quartile Range (IQR) of an observation?The formula for the Inter-quartile range is given as:
IQR = Q₃- Q₁ (that is Median of the Upper Half Less the Median of the lower half)
Step 1 - First, let's arrange the numbers sequentially
→ 40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Step 2 - Determine the upper and lower halves and their median
If the Lower half is 40, 40, 47, 49, 50, then it's median is 47
If the Upper half is 53, 55, 57, 63, 76, then its median is 57.
Hence:
IQR = 57 - 47
= 10 feet.
Given that the median of the second data set is 49 feet, and the IQR is 6 feet. Did the 10 friends, as a group, perform better (or throw farther) in the second?No, the friends didn't perform better in the second round because the was a significant drop in the median and the IQR. The median dropped from 51.5 to 47 and the IQR from 10 to 6.
It can be concluded that the distance in the second set of data is less variable when juxtaposed with those form the first set.
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answer these two questions asap!!
Answer:
Step-by-step explanation:
45 cm times 20 cm you find by by mutiply and divide
Based on this deck of 46 cards, which event has a probability of 2746?
a. P(not Star)
b. P(Circle or Rectangle)
c. P(not Diamond)
d. P(Rectangle)
Answer:
B
Explanation:
There are 19 rectangles and 8 circles
19
+8
27 so it would be 27/47
Talia gave her hairdresser a 20 percent tip, which amounted to $7.
Percents
Total
100%
What was the price of the service before the tip?
The price of the service before the tip will be equal to $35.
What is the percentage?
The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Talia gave her hairdresser a 20 per cent tip, which amounted to $7The total price of the service will be calculated as:-
20% = $7
10% = 7/2
100% = 10 x 7/2
100% = $35
Therefore the price of the service before the tip will be equal to $35.
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4. What is the area of the circle below?
3m
Answer:
[tex]\pi * 9[/tex] or 28.28
Step-by-step explanation:
With the equation of [tex]A = \pi * r^2[/tex], We find that the r - (radius) = 3, so it would be [tex]\pi *3^2\\[/tex] or [tex]\pi * 9[/tex]
Hope This Helps!
Read the excerpt from "A Century Ride.” Lizzie Dunlop patted the small lady’s shoulder soothingly. "There, there, little iceberg,” she said, "let it all be buried! It’s forgotten. You shall never be worried about it again. You are here to enjoy every moment of your holiday, and to tell me the news of civilization, and to take rides across the prairie. What a blessing we have a decent road for the velocipede—I beg pardon—bicycle! You must have lots of grit to mount that scary machine; and—oh! Maude! How can you want to be a surgeon? I should die if I saw a man cut up and mangled; but you are a marvel!” Which phrase from the excerpt is most like the modern language used in writing? There, there little iceberg You are here to enjoy every moment You must have lots of grit I should die if I saw a man cut up
The phrase in the excerpt that is most similar to the modern language used in writing is "You are here to enjoy every moment".
What is modern language?It corresponds to a language that is in current use in society, being a term used to differentiate a language that is still used for communication from a language that is not used anymore today, such as Latin.
Therefore, the phrase relates to the values of modern society with regard to the use of words and the message that the author wants to convey to readers.
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Answer:
b
Step-by-step explanation:
The volume of a tree stump can be modeled by considering it as a right cylinder. Ashley measures its height as 1.2 ft and its radius as 20 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
The volume of the stump in cubic inches is 18095.6 if the Ashley measures its height as 1.2 ft and its radius as 20 in.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have h = 1.2 ft = 1.2×12 = 14.4 inches
r = 20 inches
[tex]\rm V = \pi (20)^2 \times 14.4[/tex]
After calculating, we get:
V = 18095.57 ≈ 18095.6 cubic inches
Thus, the volume of the stump in cubic inches is 18095.6 if the Ashley measures its height as 1.2 ft and its radius as 20 in.
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Answer:
Step-by-step explanation:
2
14. Which of the following is the perimeter of the right triangle shown below?
(1) 63 cm
(2) 64 cm
(3) 70 cm
(4) 74 cm
Answer:
70
Step-by-step explanation:
using the Pythagorean theorem we see that the side length is 29, meaning the perimeter is 70
You flip a coin and you roll a standard 6 sided number die. What is the probability that your flip heads and roll a number less than 3?
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
p(H and <3)= [tex]\frac{1}{2}[/tex]×[tex]\frac{2}{6}[/tex]
= [tex]\frac{1}{6}[/tex]
What is the best estimate of the area of the figure on the grid if each square has an area of 1 square inch?
O3 square inches
O 5 square inches
O 7 square inches
O9 square inches
Answer: 3 square inches
Step-by-step explanation:
See attached for how I broke the shape up. Since each square is equal to 1 square inch, and the shape is about 3 squares, the answer should be;
O 3 square inches
Please note that different people may estimate differently.
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Name the property used in the equation 1=6n. Then find the value of n.
Answer:
1=6
Step-by-step explanation:
Divide both sides of the equation by the same term
1=6
One number is five more than another number. If the square of the smaller number is 3 more than 3 times the larger number, what are the numbers?
Answer:
6 and 11
Step-by-step explanation:
n1 = n + 5
ns^2 = 3 + 3nb
6^2 = 3 + 3(11)
36 = 3 + 33
11 = 6 + 5
(3,7), (1,8)
find the distance between each pair of points
Answer:
[tex]\sqrt{241}[/tex]
Step-by-step explanation:
3+1=4
7+8=15
4^2=16
15^2=225
16+225=241
[tex]\sqrt{241}[/tex]
Which expression is equivalent to startfraction 4 f squared over 3 endfraction divided by startfraction 1 over 4 f endfraction? startfraction 16 f cubed over 3 endfraction startfraction f over 3 endfraction startfraction 3 over 16 f cubed endfraction startfraction 3 over f endfraction
The value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]
What is quotient?The quotient of numbers or expressions is the division of a number or expression by another
How to determine the equivalent expression?The expression is given as:
[tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex]
Rewrite as a product expression
[tex]\frac{4f^2}{3} \times \frac{4f}{1}[/tex]
Evaluate the product of 3 and 1
[tex]\frac{4f^2}{3} \times 4f[/tex]
Evaluate the product of 4f^2 and 4f
[tex]\frac{16f^3}{3}[/tex]
Hence, the value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]
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Answer:
its A
Step-by-step explanation:
On edge its the first answer
Help this is due today-
[tex] \bold{ \underline{Solution }}[/tex]
[tex] \bold{ \underline{ \underline{Given}}}[/tex]
y = 9 feet
[tex] \bold{to \: find}[/tex]
Volume of cube
[tex] \bold {\underline{lets \: begin}}[/tex]
[tex]y \: = 9 \: feet \: [/tex]
Volume of cube= (S)³
[tex] \sqrt[3]{9} \: = \sqrt[3]{9 \times 9 \times 9} \\ \\ \sqrt[3]{9} = 729[/tex]
so,, 729 is our final answer
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if a number is multiplied by itself 3 then the obtained number is called cube of given number. x × x × x = x³ Thursday cube of a number is that number raised to power 3.volume of cube is side cube.Hey there!
Your formula: a * a * a or you could simply say a^3
Your equation;
9^3
= 9 * 9 * 9
= 81 * 9
= 729
Therefore, your answer should be:
729
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A line segment has endpoints of (-2,6) and
(-4,-9). What is the midpoint of the line
segment?
Answer:
(-3, -1.5)
Step-by-step explanation:
Given:
Endpoint₁: (-2, 6)Endpoint₂: (-4, -9)[tex]\boxed{\text{Midpoint of a line segment:} \ \huge\text(\dfrac{x_1 + x_2}{2} ,\dfrac{y_1 + y_2}{2} \text)}[/tex]
Substitute the endpoints of the line segment in the midpoint:
[tex]\implies \huge\text[\dfrac{-2 + (-4)}{2} ,\dfrac{6 + (-9)}{2} \text][/tex]
Simplify the coordinates in the midpoint:
[tex]\implies \huge\text[\dfrac{-2 - 4}{2} ,\dfrac{6 - 9}{2} \text] \implies \huge\text[\dfrac{-6}{2} ,\dfrac{-3}{2} \text]\implies \huge\text[-3 ,-1.5 \text][/tex]
Thus, the coordinate of the midpoint is (-3, -1.5)
Complete the table by giving the length and area for each
width. (The width is the side perpendicular to the building.)
width (feet) length (feet)
area (square feet)
10
30
40
W
of the play area
The values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We know the perimeter of the rectangle = 2(w+l)
The sum of w+w+l = 120 (given)
2w + l = 120
From the above equation, we can calculate the l of the rectangle:
We have w = 10 feet
l = 100 feet
Area = 10×100 = 1000 square feet
When w = 30
l = 60 feet
Area = 60×30 = 1800 square feet
When w = 40
l = 40 feet
Area = 40×40 = 1600 square feet
Thus, the values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.
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Can someone help please
Answer:
The answer is 2 -option b
Answer:
B) 2
6²(6 × 6) = 36
100 POINTS SOMEONE PLEASE HELP
A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 50°. Will the ladder be safe the way it is positioned? Explain.
Answer:
Answer:
(a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned.
Answer:
(a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned
0.78 / 10^6
please someone answer I need this answer soon
Answer:
0.00000078 is the answer to the question
hey so I'm a 15 year old in Geometry HN and I have my SOL tomorrow, (baisaclly state testing) I've been stuffy for weeks now yet my brain just can't comprehend ANYTHING! and I'm honestly so frustrated. Could anyone help me with these questions? about circles? I would appreciate if someone gave me a step-by-step process if it isn't to much to ask
Directions: Find X. O represents the center of the circle
Answer:
2: 86
3:64
4: 77
6: 3
7:12
8: O=110 X:110
Step-by-step explanation:
Number 2 shows what is called a central angle. Central Angles are equivalent to the ark length
Number 3 shows an Inscribed angle. These angles are half of the ark but in your question, it is twice the angle measurement
Number 4 you want to divide the ark length by two when the angle is not given. And when the angle is given you want to mutilate by two
Number 6 is Overlapping Ark which means they are both congruent to each other because the ark is equivalent to each other.
Number 7 is x=12 because 5x+12 is twice the measure of 3x
Number 8 o=110 because a circle has 360 degrees so you want to add them up and then subtract that from 360. x is also 110 degrees because it is a central angle, which is the same amount of degrees as the ark length.
Cereal costs $.19 per ounces. How much does 15 oz of cereal cost?
Susie needs to cover her triangular garden with new top soil. Her garden has a base of 7 ft and a height of 10 ft. A bag of soil will cover 5 square feet. How many bags will she need?
Question 7 options:
70 bags of soil
35 bags of soil
12 bags of soil
7 bags of soil
If 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.
Option D) is the correct answer.
How many bags will Susie need?Area of a triangle is expressed as half base multiply by height.
A = (1/2)base × height
Given that;
Base of the triangular garden = 7ftHeight = 10ftArea of the triangular garden A = ?A = (1/2)base × height
A = (1/2) × 7ft × 10ft
Area of the triangular garden A = 35ft²
Now, if 1 bag of soil covers 5 square feet. how many will cover 35 square feet?
1 bag covers 5ft²
x bags covers 35ft²
x = 35 / 5
x = 7 bags
Therefore, if 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.
Option D) is the correct answer.
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please help ILL GIVE BRAINLIESST I NEED TWO PPL TO ANWSER SO I CAN GIVE IT !! EXPLANATION PLEASE
Answer:
∠ECB
Step-by-step explanation:
The angle which is vertical to ∠HCI is ∠ECB.
A vertical angle has the equal angle measure to the angle opposing it.
Hence, our answer is understood.
What is the product of 76 and 6.0 x 10^2 expressed in scientific notation?
Answer:
45.6 x 10^3
Step-by-step explanation:
76 can be expressed as 7.6 x 10^1.
Now, you can multiply the two values together.
7.6 x 6.0 is 45.6.
Then, add the two exponents together:
1 + 2 = 3
45.6 x 10^3
Write the converse of the following statements:
1. If two angles are both obtuse, the two angles are equal.
2. If 3 - 2x = 13, then x = -5.
3. If 2 angles are supplementary, then they are not equal.
For the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is 3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.
What is the converse of a statement?A conditional statement with the antecedent and effect reversed is known as a converse statement.
We have statement:
1. If two angles are both obtuse, the two angles are equal.
Converse: The two angles are equal if the two angles are both obtuse.
2. If 3 - 2x = 13, then x = -5.
Converse: x = -5 if the equation is 3 - 2x = 13
3. If 2 angles are supplementary, then they are not equal.
Converse: Two angles are not equal if 2 angles are supplementary.
Thus, for the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is 3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.
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Can someone please help me solve this? I’ll give you a brainliest pls!!!
Answer:
1. 84º
Step-by-step explanation:
1. CEB = 180º - 96º
CEB = 84º
you do the rest
Find the volume of the rectangular prism. WA 3yd 3 yd 4 yd
