Answer:
Item #1
[tex]-\frac{27}{8}[/tex] fraction form
[tex]- 3.375[/tex] decimal form
[tex]-3\frac{3}{8}[/tex] mixed number
Item #2
$7.98 (rounded to nearest cent)
If two supplementary angles are in the ratio of 7: 8 ,find them.
Answer:
84° and 96°Step-by-step explanation :
Given :
Two supplementary angles are in the ratio of 7: 8To Find :
The two anglesSolution :
Let the angles be 7x and 8x respectively
As We know that, Sum of supplementary angles is always 180°
So, Adding Both the angles,
→ 7x + 8x = 180°
→ 15x = 180°
→ x = 180/15
→ x = 12
Hence,
7x = 7(12) = 84° 8x = 8(12) = 96°Therefore,
The required angles are 84° and 96°the length of one base of a trapezoid is 19 meters and the length of the other base is 27 meters. find the length of the median.
Answer:
23 m
Step-by-step explanation:
the median is calculated as
half the sum of the parallel bases , then
median = [tex]\frac{19+27}{2}[/tex] = [tex]\frac{46}{2}[/tex] = 23
Evaluate f(-2): f(x)=3/2x-4
Answer:
f(- 2) = - 7
Step-by-step explanation:
substitute x = - 2 into f(x)
f(- 2) = [tex]\frac{3}{2}[/tex] × - 2 - 4 = - 3 - 4 = - 7
Which expression has the greatest value?
(options are included in the image)
Answer:
(b) 16^(3/2)
Step-by-step explanation:
Your calculator is a good source of information about the values of numerical expressions.
__
Here, all of the expressions have a value of 16 except 16^(3/2). That has the greatest value.
_____
Additional comment
Assuming you're familiar with powers of 2 and the rules of exponents, you can evaluate these without a calculator:
∛(64²) = ∛(2^6)² = (2^12)^(1/3) = 2^4
16^(3/2) = (2^4)^(3/2) = 2^6 . . . . . has the greatest value
√(16²) = ((2^4)^2)^(1/2) = 2^(4·2/2) = 2^4
∛(8^4) = ((2^3)^4)^(1/3) = 2^(3·4/3) = 2^4
__
8= 2^3; 16 = 2^4; 64 = 2^6
(a^b)^c = a^(bc)
A root is equivalent to a fractional power. The cube root is the 1/3 power, for example.
Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work.
The area is 812ft
Answer:
about 98 dollars to cover the whole room in carpet
Step-by-step explanation:
The Carpet costs $8.30 per square foot, so 812 ÷ 8.30 = 97 with remainder. Therefore 98 as a rounded total ✅
can someone please help me solve these math problems they are about triangle proofs
Answer:
Besides the givens:
12.
AC = EC, BC = DC; Definition of Midpoint
<ACB = <ECD; Vertical Angles Theorem
Triangle ABC = Triangle EDC; SAS Congruence Postulate
13.
AD = CD; Definition of Median
BD = BD; Reflexive Property
Triangle ABD = Triangle CBD; SSS Postulate
Step-by-step explanation:
None necessary.
Find the
median of 3,
4, 4, 5, 5, 6,
7, and 7.
Answer:
Answer is 5
Step-by-step explanation:
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Help me please I forgot how to do this
What is the perimeter of the parallelogram?
Answer:
2(a+b)
Step-by-step explanation:
i need some help with this question.
The scale factor will be 1.5. The corresponding angles are congruent because the size is changed not the angles.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
Adnan wants a larger garden.
He draws the triangle ΔPQR to show his original garden.
He wants to enlarge a garden, so he uses a dilation to form the image of the triangle ΔPQ'R'.
He uses vertex P as the center of the dilation.
The ratio of the corresponding sides will be given as
PQ'/PQ = Q'R'/QR = R'P/RP = 1.5
The scale factor will be 1.5.
The corresponding angles are congruent because the size is changed not the angles.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
I believe that is the diameter.
Answer:
C. Diameter
Step-by-step explanation:
Circumference: The distance around the edge outside of the circle.
Diameter: The distance across the circle that goes through the center.
Radius: The distance halfway across the circle, which is half the diameter.
Center: The point or dot in the middle of a circle.
Which is the correct solution to ‐3x<21?
Answer:
Top right
Step-by-step explanation:
When mult/dividing by a negative number, the sign always flips.
please help me with this question!
Answer:
figure
Step-by-step explanation:
it out urself
thanks
The inside of a baking pan is to be lined with tinfoil. the pan is 12 inches long, 9 inches wide, and 1.5 inches tall. how many square inches of tinfoil are needed?
The inside of a baking pan is to be lined with tinfoil. Then the amount of tinfoil needed will be 171 square inches.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The inside of a baking pan is to be lined with tinfoil. the pan is 12 inches long, 9 inches wide, and 1.5 inches tall.
Then the amount of the tinfoil will be
The surface area of the rectangle with an open lid is given as
Surface area = 2(LH + WH) + LW
Then the surface area of the tinfoil will be
Surface area = 2(12 x 1.5 + 9 x 1.5) + 12 x 9
Surface area = 2 (18 + 13.5) + 108
Surface area = 2 x 31.5 + 108
Surface area = 63 + 108
Surface area = 171 square inches
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How do you find the frequency in statistics?
Answer:
Count the tally marks to determine the frequency of each class. The relative frequency of a data class is the percentage of data elements in that class. The relative frequency can be calculated using the formula fi=fn f i = f n , where f is the absolute frequency and n is the sum of all frequencies
There are 3 items in an order. They cost $14.65, $8.49, and $10.99. The sales tax for this order is 7.5%.
What is the total cost of the order?
$34.13
$35.84
$36.52
$36.69
Answer:
(d) $36.69
Step-by-step explanation:
The total cost of the order is the sum of the costs of the items and the tax on that subtotal.
__
The price after tax can be found using the multiplier (1 +tax rate) applied to the subtotal.
total cost = ($14.65 +8.49 +10.99)×(1 +0.075) = $34.13×1.075
total cost = $36.69
Answer: $36.69
Step-by-step explanation: K12 Test 8.02 Grade 7 Semester B Test - Part 1
HELPPPPP I NEED HELP WITH MATH HOMEWORK
Answer:
The answer is B
Please read the explanation... it always helps!!!
Step-by-step explanation:
All of the choices ask for difference.... it really helps when you draw a number line to solve these types of questions....
but for B you will need to imagine a compass..
alrighty for option B lets examine why it is correct....
Imagine you were standing on a dot (lol)
you walked 1.5 steps to the left <--
then you walked 1.5 steps to the right -->
you can see that you walked in opposite directions and in the end you will be back where you started (aka on the dot, still lol)
meaning the displacement is zero
that is why option B is correct
i really hope this isn't confusing and it helps!!!
what is the surface area of the sphere
Answer:The answer iis 1810.3cm^2
Step-by-step explanation:
Question :-
What is the surface area of the sphere that has a radius of 12 cm?Answer :-
The surface area of the sphere is 1809 cm².[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{12 \: cm}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the radius of the sphere is 12 cm. We have been asked to find or calculate the surface area of the sphere.
To calculate the surface area of the sphere, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(12 \: cm)^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(144 \: cm^2)[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(452.16 \: cm^2)[/tex]
[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 1809 \: cm^2}[/tex]
Therefore :-
The surface area of the sphere is 1809 cm².[tex]\\[/tex]
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Have a great day! <33
please solve
5x+3x-2x=
Answer:
hope it help you
Step-by-step explanation:
[tex]5x + 3x - 2x \\ 8x - 2x \\ 6x[/tex]
Answer:
6x
Step-by-step explanation:
Take x as the common factor and calculate.
5x + 3x - 2xx (5 + 3 - 2)x (8 - 2)6xWhat is the quotient? startfraction 2 y squared minus 6 y minus 20 over 4 y 12 endfraction divided by startfraction y squared 5 y 6 over 3 y squared 18 y 27 endfraction startfraction 2 over 3 (y minus 5) endfraction startfraction 3 (y minus 5) over 2 endfraction startfraction (y minus 5) (y 2) squared over 6 (y 3) squared endfraction startfraction 3 (y 5) (y minus 2) over 2 (y 2) endfraction
The quotient of two fractions, (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27), is: 3(y - 5)/2
What is a Quotient?Quotient can be described as the result you get from dividing a term by another term.
Let's find the quotient of (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27)
Quotient = (2y² - 6y - 20)/(4y + 12) ÷ (y² + 5y + 6)/(3y² + 18y + 27)
Change the division sign to multiplication sign and turn the second fraction upside down
(2y² - 6y - 20)/(4y + 12) × (3y² + 18y + 27)/(y² + 5y + 6)
Bringing out the common terms, we would have:
2(y² - 3y - 10)/4(y + 3) × 3(y² + 6y + 9)/(y² + 5y + 6)
Factorize
2(y - 5)(y + 2)/4(y + 3) × 3(y + 3)(y + 3)/(y + 3)(y + 2)
Cancel out common factors
= 3(y - 5)/2
Quotient = 3(y - 5)/2
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Answer:b
Step-by-step explanation:
lol
You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What does the range, standard deviation, and variance say about gas prices in 2018?
The range, standard deviation, and variance say about gas prices in 2018 discussed below
What is standard deviation and variance?Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.
As the variance in 2018 is 0.0121.
A model with low variance means sampled data is close to where the model predicted it would be.
As the standard deviation in 2018 is 0.1098.
Low standard deviation means data are clustered around the mean
A small range means low variability in a distribution.
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What is the difference of the y coordinate (0,3) and the y coordinate (4,0)
Answer:
3
Step-by-step explanation:
The difference of the two y-coordinates is found by ...
a) identifying the y-coordinates
b) computing their difference.
__
Each ordered pair lists the y-coordinate second.
(0, 3) ⇒ y-coordinate = 3
(4, 0) ⇒ y-coordinate = 0
The difference of the y-coordinates is ...
3 -0 = 3
Given right triangle abc with altitude bd drawn to hypotenuse
ac. if ad = 8 and dc = 32, what is the length of bd?
Let (-4,-5) be the point on the terminal side of theta find cos (theta), sec (theta) & cot (theta)
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{-4}\\ b=\stackrel{opposite}{-5}\\ \end{cases} \\\\\\ c=\sqrt{(-4)^2 + (-5)^2}\implies c=\sqrt{41} \\\\[-0.35em] ~\dotfill[/tex]
[tex]cos(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{\sqrt{41}}}\implies \cfrac{-4}{\sqrt{41}}\cdot \cfrac{\sqrt{41}}{\sqrt{41}}\implies -\cfrac{4\sqrt{41}}{41} \\\\\\ sec(\theta )\cfrac{\stackrel{hypotenuse}{\sqrt{41}}}{\underset{adjacent}{-4}}\implies -\cfrac{\sqrt{41}}{4}~\hfill cot(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{opposite}{-5}}\implies \cfrac{4}{5}[/tex]
Which function rule is represented by the table?
y=4x-1
y=3x+2
y=2x+3
y=x+2
Answer:
[tex]y=2x+3[/tex]
Step-by-step explanation:
Sure hope this helps you
Mina had a disco for her birthday. For every 2 boys at the disco, there were 3 girls. There were 35 children at the disco in total. How many boys were at the disco?
There were 14 boys at Mina's disco for her birthday.
What is a ratio?A ratio is a quantitative value that shows the number of times a certain value is in another value.
The number of boys at the disco can be calculated as shown below:It is given that for every 2 boys at the disco, there were 3 girls. This means that the ratio of boys to girls at the disco is 2:3.
Let the proportionality constant be x.
Therefore total boys and girls are 2x and 3x respectively.
There are 35 kids at the disco. This means that the number of boys plus girls is 35. It can be written as shown below:
2x + 3x = 35
⇒ x = 35/5
⇒ x = 7
Total number of boys = 2x
= 2 * 7
= 14 boys
Therefore the total number of boys at the disco is 14.
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What is 16 1/5 - 5 2/3?
Answer:
10.533
Step-by-step explanation:
Have a great rest of your day
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Darci sets up a room for a banquet.
She has 54 chairs. She places 9 chairs
at each table. How many tables have
9 chairs?
Answer:
6 tables
Step-by-step explanation:
54 chairs divided by 9 chairs = 6 tables have 9 chairs :)
Answer:
Step-by-step explanation:
Given:
There are 54 chairs in total.She places 9 chairs at each table.To find:
Amount of tables that have 9 chairs.Solution:
⇒ 1 : Based on the given conditions, formulate
⇒ 54 ÷ 9
⇒ 2 : Calculate
54
----
9
= 6.75
Round down in this case, so
⇒ Answer: 6.
Use the exchange rate £1 = €1.11 to convert €222 into £.
Hoping to increase pizza sales on Tuesdays, a new pizza restaurant prints and disperses the following coupon through email and fliers in a neighborhood marketing magazine
After ten weeks of the coupon offer, the owner of the restaurant needs to decide if the restaurant should continue to run the same special or offer a new one. Use the data collected in the table to determine whether or not the coupon appears to be generating sales for the restaurant.
Week Total
Sales
1 $859
2 $1,176
3 $1,480
4 $1,365
5 $1,576
6 $1,498
7 $1,180
8 $1,964
9 $1,634
10 $1,580
Part A: don’t answer
Part B: Use the total sales for weeks 4 and 9 to write an equation for the line of best fit. In your final answer, include all of your calculations.
Part C: in terms of the slope of the equation for the line of best fit, explain whether or not you think the coupon is responsible for the restaurant's increase or decrease in pizza sales on Tuesdays. Use complete sentences in your answer.
Part D: Assuming that the pizza restaurant wishes to continue the coupon for an additional five weeks, use the equation for the line of best fit to predict the restaurant's sales for the Tuesday of the 15th week.
—
B) y = 53.8x + 1149.8
C) Total Sales increase from one week to the next by $53.8.
Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.
D) The restaurant's sales for the Monday of the 15th week is expected to be $1956.8
What is equation of line?The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
B) As by scatter plot,
The total sales for week 4 is given as 1,365 while that of week 9 is 1,634.
Therefore, we shall determine the equation for the line of best fit using the points;
( 4, 1365) and ( 9, 1634)
The first step would be to determine the slope of this line;
slope = (1634 - 1365)/ (9 - 4)
= 53.8
The equation of the line in slope-intercept form is thus;
Sales = 53.8(Week) + c
We need to determine c, the y-intercept. We can use the point ( 4, 1365);
1365= 53.8(4) + c
c = 1365-215.2
c = 1149.8
The equation of the line of best fit is thus;
y = 53.8x + 1149.8
C) The slope of the equation for the lines of best fit was found to be 53.8.
This value is positive which implies
Total Sales increase from one week to the next by $53.8.
The slope in regression is defined as the change in y for every unit change in x.
Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.
D) The equation for the line of best fit was found to be;
y = 53.8x+ 1149.8
where y denotes the total sales and x the corresponding week. We are required to determine y when x is 15;
y = 53.8(15) + 1149.8
y = 1956.8
Therefore, the restaurant's sales for the Monday of the 15th week is expected to be $1956.8.
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