Answer: Yes
Step-by-step explanation:
You could subtract the measure of the first angle from 90 degres to find the measure of the second angle.
Here are two rectangles. the area of the shaded rectangle is 1/4 the area of the large rectangle. work out the value of x
The area of the rectangle is the product of length and width. The value of the variable x is 3.6 cm
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
The diagram is given below.
Let A₁ be the area of the small rectangle and A be the area of the large rectangle.
A₁ = 1/4 A
4A₁ = A
4 × 2× (12 - x) = 12 × (x + 2)
8(12 - x ) = 12x + 24
96 - 8x = 12x + 24
72 = 20x
x = 3.6
Then the value of the variable x is 3.6 cm
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can u guys help me with this
Answer:
Step-by-step explanation:
A.) 16500 Seconds
B.) 12569 Seconds
C.) 38116 Seconds
D.) 20700 Seconds
E.) 7256
Does anybody want to help with math?
2a(-5a^8b+a^2-12ab)
Ty :D
Answer: 18a4 - 6a3b - 5a2b4 - 45a2b2 + 36ab2 - 12ab + 3b
———————————————————————————————-
3
Step-by-step explanation:
PLEASE HELP ASAP!!!!
A scatter plot is shown below: if you need an image of it look at the bottom
A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on the y axis at increments of 1. The ordered pairs 0, 14 and 1, 11 and 2, 9 and 3, 10 and 4, 7 and 5, 7 and 6, 5 and 7, 5 and 8, 3 and 9, 1 and 10, 0 are shown on the graph.
Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?
(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0, 13) and (10, 0)
Reason:
If you were to draw a line through the points mentioned in choice A, the line wouldn't be close to the points since (4,15) isn't close to the points. The same goes for (10,7). So we can rule out choice A. Choices B and C are similar stories.
Choice D on the other hand has its line fairly close to all of the points.
Last option
(0,13)
The point will lie at top(10,0)
The point will lie at bottomSo
both will contain most no of plots so Option D is correct
I need help with this thank you!
Answer: m<AOB is 60 degrees.
Step-by-step explanation: If BCD is 30 degrees, it intercepts the arc BA, and therefore, any angle that intercepts an arc is half of the arc it intercepts. Thus, AOB is 60 degrees.
What is the sum of the two
expressions?
(4/5x+13) - (5/8x − 6)
Answer: 7/40x + 19
Step-by-step explanation:
---Distribute the negative sign
4/5x + 13 - 5/8x + 6
---Get common denominators on the fractions
32/40x + 13 - 25/40x + 6
---Combine like terms
(32/40x - 25/40x) + (13 + 6)
7/40x + 19
Answer: 7/40x + 19
Hope this helps!
PLS HELP! What is the linear function rule for this table?
Answer:
f(x) = 4x + 6
Step-by-step explanation:
Using f(x) = 4x + 6
lets find some answers
lets take x as (-2)
f(-2) = 4(-2) + 6
f(-2) = -8 + 6
= -2
Also, take x as (-1)
f(-1) = 4(-1) + 6
f(-1) = -4 + 6
= 2
Envision Geometry 10-1 Circles 22. page 425
The segment area of the circle that's given in the envision geometry is 2.568.
How to calculate the segment area?It should be noted that the segment area is given as:
= (a/360)π × R² - Area of triangle
= (90/360)π × 3² - (1/2 × 3²)
= 9π/4 - 9/2
= 2.568
In conclusion, the segment area of the circle that's given in the envision geometry is 2.568.
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Allison wants to ride her bicycle 60 miles this week. She has already ridden 12 miles. If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal?
Answer:
8 miles a day
Step-by-step explanation:
First you have to subtract the amount of miles she had already gone.
60 - 12 = 48
Next you have to divide by the remaining amount of days (6 days).
48/6 = 8
12 is 48 percent of what number?
Answer:
25
Step-by-step explanation:
12 x 100 = 1200
1200 / 48 = 25
What is the area of triangle ABC?
C
12
60°
60°
A
D
B
Answer:
Area of the triangle is 36√3
Step-by-step explanation: Hope this will help
The hypotenuse of each 30 - 60 - 90 triangle is 12
The base length is 6 + 6 = 12 because the triangle is equilateral and the
altitude of the triangle divides the base into two equal parts and the altitude (DC) is the height of the triangle.
Now you have two 30 - 60 - 90 triangles with the hypotenuse of 12, the short leg = 6 and you need to find the length of DC.
Finding DC .
a² + b² = c²
6² + b² = 12² 0r the long leg = short leg times √3
36 + b² = 144 6√3
b² = 108
b = 6√3
Area of a triangle = 1/2bh
= 1/2(12)(6√3)
= 6(6√3) = 36√3
Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?
The pool must have been empty for the entire interval.
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
The pool must have been deeper at the end of the interval than it was at the start of the interval.
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
The pool must have been the same depth at the start of the interval as it was at the end of the interval, option second is correct.
What is the average rate of change?Finding out how much something changes over time is what the average rate of change is all about.
We have Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero.
As we know that the average rate of change can be calculated using:
= (Last quantity - starting quantity)/Time interval
The average rate of change, on the other hand, does not account for intermediate values, therefore you can't draw any conclusions about them.
In the given problem:
The average rate of change in depth = (Last quantity - starting quantity)/2
0= (Last quantity - starting quantity)
Final depth = Initial depth
Thus, the pool must have been the same depth at the start of the interval as it was at the end of the interval, option second is correct.
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Honorable Quinn with 6 children earns 613 200 naira per month. Calculate:
a. tax allowance
b. taxable income
c. amount of tax paid
d. income after tax is paid
please help ASAP
tthankyou
answer is below in attachment
Answer:
10, 13, 15.Step-by-step explanation:
Solve all possible equations:
8 + 10 + 1 + 9 + 2Adding them all up we get:8 + 10= 18 + 1= 19 + 9= 28 + 2= 3030 < 40.10 will be used for the next equation:
2nd equation:
10 + 12 + 1 + 13 + 2Solve:10 + 12= 22 + 1= 23 + 13= 36 + 2= 3838 < 40.13 will be used for the final equation:
Final equation:
10 + 13 + 1 + 15 + 2= 10 + 13= 23 + 1= 24 + 15= 39 + 2= 41.41 > 40.The 3 digits are 10, 13, 15.2. f(x)=4x+1 and g(x)=x2−4x−5, find (g◦f)(4).
Answer:
(g · f)(4) = 45
Step-by-step explanation:
f(x)=4x+1
g(x)=x² - 4x- 5
(g · f)(x) = 4(x² - 5) + 1
(g · f)(4) = 4(4² - 5) + 1
Following pemdas
(g · f)(4) = 4(16 - 5) + 1
(g · f)(4) = 4(11) + 1
(g · f)(4) = 44 + 1
(g · f)(4) = 45
–51 ≤ x + 38 I need help please finals are tomorrow....
Answer:
x ≥ - 89
Step-by-step explanation:
−51 ≤ x + 38
Step 1: Flip the equation.
⇒ x + 38 ≥ - 51Step 2: Subtract 38 from both sides.
⇒ x + 38 - 38 ≥ - 51 - 38x ≥ - 89 ====> AnswerWhat is the volume of this object?
Top View
2u
2u
pls I need help lol
Answer:
15 u³
Step-by-step explanation:
Volume = width × length × height
Given:
width = 2ulength = 2 ¹/₂ uheight = 3u⇒ Volume = 2u × 2 ¹/₂ u × 3u
= 15 u³
[tex]\underline{\tt{❖ \: Given \: \: ❖}}[/tex]
[tex] \sf \: length =2 \dfrac{1}{2}u[/tex][tex] \sf \: width =2u[/tex][tex] \sf \: height =3u[/tex]given figure
[tex] \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \: \: \: \: \: \: \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \sf \: 2u \\ \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \sf \: 2 \dfrac{1}{2}u[/tex]
[tex]\underline{\tt{❖ \: To \: find \: ❖}} [/tex]
volume of this object[tex]\underline{\tt{❖ \: Using \: formula \: ❖}} [/tex]
[tex] \sf \: volume = width \times length \times height[/tex][tex]\underline{\tt{❖ \: Solution \: ❖}} [/tex]
we have,
[tex]\sf \: volume = width \times length \times height[/tex]
[tex]\sf \: volume = 2u \times 2 \dfrac{1}{2}u \times 3u[/tex]
[tex]\sf \: volume = 2u \times \dfrac{5}{2}u \times 3u[/tex]
[tex]\sf \: volume = \cancel2u \times \dfrac{5}{ \cancel2}u \times 3u[/tex]
[tex]\sf \: volume = u \times 5u \times 3u[/tex]
[tex]\sf \: volume = 15u {}^{3} [/tex]
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
if you have 48 apples and you gave your friend molly 20 and you gave your brother and mom 18 each how much apples do you have now?
Answer:
10
Step-by-step explanation:
48-20=28
28-18=10
that is how I see it at least
Identify the situation below as having a positive correlation, negative correlation, or no correlation.
Explain your answer.
The temperature outside and the amount of ice cream sales at an ice cream shop.
Answer:
positive correlation
Step-by-step explanation:
As the temperature increases, the ice cream sales will increase.
Since both x and y are increasing, this is a positive correlation.
Mai put $4250 in the bank at 4.4% interest compounded annually. How much was in her
account after 7 years?
Answer:
$5745.03
Step-by-step explanation:
A = 4250(1 + 0.044)7 = $5745.03
The required amount in the Mai accounts after 7 years will be $5745.03.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Amount = principal[1 + r/n]ⁿᵃ
Here,
Principal = 4250, rate = 4.4%, Time = 7 ,
Amount = 4250[1 + 0.044]⁷
Amount = $5745.03
Thus, the required amount in the Mai accounts after 7 years will be $5745.03.
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Ben is making a map in which each unit of the coordinate plane represents 1 mile. He places his house at the origin. The pizza shop is 4 miles south and 2 miles east of his house. The ice rink is 3 miles north and 5 miles west of the pizza shop. The hospital is 3 miles north of the ice rink.Which map shows each location in the correct place?
Answer:
A
Step-by-step explanation:
First lets take not of the given coordinations.
He places his house at the origin: (0,0)The pizza shop is 4 miles south and 2 mile east of his house: (2,4) The ice rink is 3 miles north and 5 miles west of the pizza shop: (-5,3) The hospital is 3 miles north of the ice rink: (0,3)Based on these cordinates you can conclude the correct places on the map.
Answer:
either C or D
Step-by-step explanation:
1. whats -3 x - 5 = 6
2. whats -4 ( y - 2 ) =12
show work
Answer:
x = -11/3 or 3.666y = -1Step-by-step explanation:
Given:
1) -3x -5 = 6
2)- 4 ( y - 2 ) =12
To Find:
Value of x for no. 1Value of y for no. 2Solved:
1)-3x -5 = 6
Transpose -5 from LHS to RHS
=> -3x = 6+5=> -3x = 11Transpose -3 from LHS to RHS
=> x = (11/-3)=> x = -11/3=> x = -3.6662) -4(y-2) = 12
Apply distributive property
=>(−4)(y)+(-4)(-2)=12=>-4y+8 = 12Transpose 8 to RHS
=> -4y = 12-8=> -4y =4Transpose -4 to RHS
=> y = 4/-4=> y = -1Two sets of data are each symmetrical and do not contain outliers. Which measures of center and
variability would be most effective to use when making comparisons between the two data sets?
A.
mean and MAD
B. mean and IQR
C. median and MAD
D. median and IQR
Solution:
As, two set of data are each symmetrical and do not contain outliers.
To find the center , the best way is to find Median of data set.Median of Data set is the mid value of Data that is center of Data.
As, you have to find variability , mean can't measure variability. Mean deviation would have been better option.
So, MAD=Median absolute Deviation , would be better tool to measure variability. Because it is Absolute difference between median and Each value of data set.
So, Option (C) median and MAD, would be best way to compare the two given data set.
Help with Alg2. Please explain how.
Answer:
c = 14.43 units to the nearest hundredth.
Step-by-step explanation:
We are given 2 sides and the included angle so we use the Cosine Rule.
c^2 = a^2 + b^2 - 2absinC
= 20^2 + 17^2 - 2.29.17cos45
= 208.17
c = √208.167
= 14.43.
solve for x
x/7 = 3/5 enter answer as decimal
Hey there!
ORIGINAL EQUATION:
x/7 = 3/5
CROSS MULTIPLY THE FRACTIONS
x(5) = 3(7)
5(x) = 3(7)
SIMPLIFY IT!
5x = 21
DIVIDE 5 to BOTH SIDES
5x/5 = 21/5
SIMPLIFY IT!
x = 21/5
x = 4 1/5
Therefore, the answer should be:
x = 21/5
OR
x = 4 1/5
EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE BOTH EQUIVALENT TO EACH OTHER!
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A survey asked 200 Grade 4 students about their reading preferences. Based on Graph #1, about how many of them would you expect prefer comic books?
i added the graph
Answer:
D. 80
Step-by-step explanation:
The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.
200 × .375 = 75
75 rounded to the nearest tens value is 80
What is the volume? thank you
please hurry will mark brainlest worth 100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
44602.24 yd³
Explanation:
The given shape above is a sphere.
[tex]\boxed{\sf Volume \ of \ sphere = \dfrac{4}{3} \pi r^3}[/tex]
Here given:
1) radius = 22 yards
Solve for Volume:
[tex]\implies \sf \dfrac{4}{3} \pi (22)^3 \ \ = \ \ 44602.2381 \ yd^3 \ \ = \ \ 44602.24 \ yd^3 \ \ (rounded \ to \ nearest \ hundreth)[/tex]
Use formulas to find the lateral area and surface area of the given prism. Round your answer to
the nearest whole number. The figure is not drawn to scale. The bases are right triangles.
8.94 m
4m
8m
41 m
Answer:
The answer is option B
[tex]859[/tex] [tex]m^2[/tex] [tex],[/tex] [tex]891[/tex] [tex]m^2[/tex]
Step-by-step explanation:
Step 1
Find the lateral area
we know that
The formula to calculate the lateral area is equal to
[tex]LA=Ph[/tex]
where
P is the perimeter of the base of the prism
h is the height of the prism
In this problem we have
[tex]P=4+8+8.94=20.94[/tex] [tex]m[/tex]
[tex]h=41[/tex] [tex]m[/tex]
substitute in the formula
[tex]LA=20.94*41=858.54[/tex] [tex]m^2[/tex]
[tex]LA=859[/tex] [tex]m^2[/tex]
Step 2
Find the surface area
we know that
The formula to calculate the surface area is equal to
[tex]SA=2B+Ph[/tex]
where
B is the area of the base of the prism
P is the perimeter of the base of the prism
h is the height of the prism
In this problem we have
[tex]B=8*4/4=8[/tex] [tex]m^2[/tex]
[tex]P=4+8+8.94=20.94[/tex] [tex]m[/tex]
[tex]h=41[/tex] [tex]m[/tex]
substitute in the formula
[tex]SA=4(8)+20.94*41=890.54[/tex] [tex]m^2[/tex]
[tex]SA=891[/tex] [tex]m^2[/tex]
7. The points (−2,−4) and (5,6) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
Answer
6.10
Use the distance formula:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where (x1, y1), (x2, y1) are points
[tex]\rightarrow \sf d =\sqrt{(5-(-2))^2 + (6-(-4))^2}[/tex]
[tex]\rightarrow \sf d =\sqrt{(7)^2 + (10)^2}[/tex]
[tex]\rightarrow \sf d =\sqrt{149}[/tex]
This is the length of diameter.
Then radius:
· diameter/2
[tex]\sf \cdot \dfrac{\sqrt{149 } }{2}[/tex]
[tex]\sf \cdot 6.103277808[/tex]
[tex]\sf \cdot 6.10 \ \ (rounded \ to \ nearest \ hundreth)[/tex]
Rewrite the radical expression as an exponential expression, and then simplify.
StartRoot 121 EndRoot = one-half (121) = 60.5
StartRoot 121 EndRoot = 121 squared = 14,641
StartRoot 121 EndRoot = 121 Superscript one-half Baseline = 11
StartRoot 121 EndRoot = 121 Superscript one-half Baseline = 60.5
The radical expression written as an exponent, and simplified, is given by:
[tex]\sqrt{121} = (121)^{\frac{1}{2}} = 11[/tex].
How to transform an exponent to a power?It happens according to the following rule:
[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]
The inverse is also valid, hence, in this problem, the expression written as an exponent and simplified is given by:
[tex]\sqrt{121} = (121)^{\frac{1}{2}} = 11[/tex].
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