Answer: 78
Step-by-step explanation:
The length of h to the nearest inch is 78 inches.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given that, In ΔFGH,
f = 83 inches, g = 11 inches and ∠H = 60°.
Using the law of cosines,
h² = f² + g² - 2fg cos(H)
Substituting,
h² = 83² + 11² - (2 × 83 × 11) cos (60°)
= 7010 - (1826 × 1/2)
= 7010 - 913
= 6097
h = √6097 = 78.083 inches ≈ 78 inches
Hence the length of h is 78 inches.
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What is the solution to the equation 3c
Answer:
I don’t think its an equation cuase no equal sign so I’m assuming expression
Its already simplified the most
So the simplified version of this is 3c
The price of one stock fell $12.50 in five days. How much did the stock’s price change each day (on average)?
Answer:
-$2.50
Step-by-step explanation:
Since it said that one stock fell $12.50,that means that the $12.50 is negative.Then you have to do -12.50 ÷ 5 which equals -2.50
Hope this helped!
Which equation represents a proportional relationship? Oy=2(x + 1) Oy=2 o y = 4x + 3 o y = 32x y
Answer:
y=32x shows a proportional relationship.
Step-by-step explanation:
We need to find an equation that shows the proportional relationship.
If x and y are proportional to each other, it will look like,
y = mx
Where
m is constant of proportionality
Out of 4 option, option (4) is y=32x, it shows the proportional relationship where the value of m is equal to 32.
The equation that represents a proportional relationship is y = 32x
What is a proportional relationship?A proportional relationship usually has the form:
y = kx
Where:
y = dependent variable k = constant of proportionality x = independent variableIn this equation: y = 32x
y = dependent variable 32 = constant of proportionality x = independent variableTo learn more about proportional relationship, please check: https://brainly.com/question/1266676
On Monday, it took Gunther 12 minutes to bike 2 miles to his school. On Tuesday, Gunther wants to bike to the park 5 miles away. If he bikes at the same rate on Monday, how long will it take Gunther to get to the park?
Answer:
60 minutes
Step-by-step explanation:
12 minutes * 5 miles= 60 minutes
b) Stephanie has $200 left over this week, and she wants to contribute to a
charitable cause. She can either feed 20 homeless persons two meals in a day
or she can provide shelter for 10 homeless persons one night. What is the
opportunity cost of Stephanie using all her money to shelter homeless people?
Answer:
she won't have any money herself..?
10 miles ² = blank amount of feet ²
Answer:
Step-by-step explanation:
To convert square miles to square feet, multiply the square mile value by 27878400. For example, to convert 10 square miles to square feet, multiply 10 by 27878400, that makes 278784000 sq ft is 10 sq mi.
Forty people are part of a tour group in London. One day 1/2 that group explored downtown London, of that group 2/3,visited the tower of London. What fraction of the group chose to visit the Tower of London that day?
I kinda need this now :/ Help pls, Will give brainlist**
Answer:
Answer:
you said you needed 22,23
22. y=7x-6
23. y=-x
Step-by-step explanation:
use math-way to put in the points
it explains for you
Step-by-step explanation:
Please help me !!!!!!
Answer:
it's option is last one.
Subtract to eliminate y.
Hope it will help :)❤
Sum of the radius of the base and height of a cylinder is 21 cm and the curved surface area of the cylinder is 616 sq.cm,find the total surface area of the cylinder.
Please help me!
Given:
Sum of the radius of the base and height of a cylinder = 21 cm
Curved surface area of the cylinder = 616 sq.cm
To find:
The total surface area of the cylinder.
Solution:
Let r be the radius of the base and h be the height of the cylinder.
Sum of the radius of the base and height of a cylinder = 21 cm
[tex]r+h=21[/tex]
[tex]h=21-r[/tex] ...(i)
Curved surface area of the cylinder is
[tex]CSA=2\pi rh[/tex]
Curved surface area of the cylinder = 616 sq.cm
[tex]2\pi rh=616[/tex]
[tex]2(\dfrac{22}{7})r(21-r)=616[/tex]
[tex]44r(21-r)=616\times 7[/tex]
[tex]21r-r^2=\dfrac{616\times 7}{44}[/tex]
[tex]21r-r^2=14\times 7[/tex]
[tex]0=98-21r+r^2[/tex]
[tex]0=98-14r-7r+r^2[/tex]
[tex]0=14(7-r)-r(7-r)[/tex]
[tex]0=(7-r)(14-r)[/tex]
[tex]r=7,14[/tex]
Using (i), for r=7, h=14 and for r=14, h=7.
Total surface area of the cylinder is
[tex]A=2\pi r(r+h)[/tex]
For r=7 and h=14,
[tex]A=2(\dfrac{22}{7})(7)(7+14)[/tex]
[tex]A=44(21)[/tex]
[tex]A=924[/tex]
For r=14 and h=7,
[tex]A=2(\dfrac{22}{7})(14)(14+7)[/tex]
[tex]A=88(21)[/tex]
[tex]A=1848[/tex]
Therefore, the total surface area of the cylinder is either 924 sq.cm or 1848 sq. cm.
A certain ride at an amusement park requires that children be at least 50 inches tall but no more that 65 inches tall. Which of the following absolute values best represents this restriction, where h represents height?
Answer:
|h-57.5| less than or equal to 7.5
Step-by-step explanation:
Since the question states that a child must be 50 and 65 inches, plug in values that are within this range and determine which answer choice gives a TRUE relationship. Choose 60 for h.
Also, I just did it.
Please put the following numbers in order from least to greatest. 4/9 , 0.421 , 3/7 , 0.4 pls help
Answer:
0.4, 4/9, 0.421, 3/7
explanation:
I'm pretty sure this is right if not let me know
Which law would you use to simplify the expression x49
Answer:
im not sure hehe
Step-by-step explanation:
power of a quotient?
283838383838382828 + 838383838
Answer:2.8383838e+17
Step-by-step explanation:
Answer:
2.8383838e+17
Step-by-step explanation:
283838383838382828 + 838383838=2.8383838e+17
What is the square root of x?
(-9c+7)-(6c-7) what is the answer
Answer:
-15c+14
Step-by-step explanation:
(-9c+7)-(6c-7) (rewrite and remove the parentheses)
-9c+7-6c+ (collect the like terms and calculate)
solution: -15c+14
hope this helps!
write as a rate
4 shirts for every 3 pairs of pants
A:3/4
b:4 shirts/3 pairs of pants
c:3 pairs of pants/4 shirts
d:4/3
3х - 4х + 7x - 9+ 8 = 5
only solve for x :)
Anthony is preparing to paint a large shipping container and needs to calculate the area of the container so he can buy the correct amount of paint. The equation he uses to find the area, A, in square feet is Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. where l is the length, w is the width, and h is the height of the container. The container is 8 feet wide, 12 feet high, and 24 feet long. What is the area of the container in square feet?
Answer:
the answer is 1152
Step-by-step explanation:
Answer:
1,152!
Step-by-step explanation:
Hope it helps! <3
There are some people in a cinema.
3/5 of the people in the cinema are children
For the children in the cinema,
Number of girls:number of boys = 2:7
Their are 170 girls in the cinema
Work out the number of adults
Answer:
[tex]Adults = 510[/tex]
Step-by-step explanation:
Given
[tex]Children = \frac{3}{5}[/tex]
[tex]Girls:Boys = 2 : 7[/tex]
[tex]Girls = 170[/tex]
Required
Determine the number of adults
First, we need to calculate the number of children
[tex]Girls:Boys = 2 : 7[/tex]
Given that: [tex]Girls = 170[/tex]
Substitute 170 for Girls in [tex]Girls:Boys = 2 : 7[/tex]
[tex]170 : Boys = 2 : 7[/tex]
Convert to fraction
[tex]\frac{170}{Boys} = \frac{2}{7}[/tex]
Cross Multiply
[tex]Boys * 2 = 170 * 7[/tex]
Divide both sides by 2
[tex]Boys = \frac{170 * 7}{2}[/tex]
[tex]Boys = \frac{1190}{2}[/tex]
[tex]Boys = 595[/tex]
So, the number of children are:
[tex]Children = Boys + Girls[/tex]
[tex]Children = 595 + 170[/tex]
[tex]Children = 765[/tex]
Next, we calculate the number of people in the cinema.
[tex]Children = \frac{3}{5} * People[/tex]
Substitute 765 for Children
[tex]765 = \frac{3}{5} * People[/tex]
Make People the subject.
[tex]People = \frac{765 * 5}{3}[/tex]
[tex]People = \frac{3825}{3}[/tex]
[tex]People = 1275[/tex]
If 3/5 are children, then 2/5 are adults.
So:
[tex]Adults = \frac{2}{5} * 1275[/tex]
[tex]Adults = \frac{2* 1275}{5}[/tex]
[tex]Adults = \frac{2550}{5}[/tex]
[tex]Adults = 510[/tex]
Growing up, I never got enough of my favorite side dishes. I even conducted a - survey to prove to my family that they should make more mashed potatoes. In my survey, I found that the ratio of people who prefer mashed potatoes to sweet potato casserole was 7:2. I 18 people preferred sweet potato casserole, how many preferred mashed potatoes? .S
Answer:
63 people prefer mashed potatos
Step-by-step explanation:
18 divided by 2 is 9
7 multiplied by 9 is 63
:)
Fill in the missing sign:-
a) =
b) >
c)
Answer:
the missing sign is for c) is <
A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost $22.95. Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
Answer:
$5.10 For the 2 extra panes
Step-by-step explanation:
So 9 pained are 22.95
22.95/9=2.55
Since 2 panes are broken
2.55*2
that is 5.1
or $5.10
Answer:
$5.20
Step-by-step explanation:
First, we need to work out how much 1 pane is.
So $22.95÷9=$2.55
Then you times it by 2
So $2.55×2=$5.20
I hope this helps! :)
Can someone please help :(
Answer:
1st option, (2x, 2y)
Step-by-step explanation:
If we select any random point on Figure S, let's just say the upper right hand corner of the arrow at (2,3), and compare that to the same point but on Figure T, it is now (4,6). By just looking at the two points, we can see that the x and y values of the point we chose from Figure S had to be doubled to get to that point but in Figure T
Find the value of 92^6/92^2
Answer:
=92^4 in think
Step-by-step explanation:
If you get a raise from $12 per hour to $15 per hour, what is the percent change?
Answer:
25% change
Step-by-step explanation:
(15 - 12) / 12 = 3/12 = 1/4 = 0.25
Solve the following equation algebraically
3x2 = 48
a. +6.93
b. +8
c. +4
d. +0.25
Answer:
C. +4
Step-by-step explanation:
I calculated logically
Suppose there is an estate sale featuring many items sold at different prices. The mean selling price of the items is 75 dollars, and the standard deviation is 20. A piece of costume jewelry is priced at 15 dollars. Which of the following statements is true?
Answer: The price of the costume jewelry is 3 standard deviations to the left of the mean.
The price of the costume jewelry is 3 standard deviations to the left of the mean.
What is the mean?The mean (aka the arithmetic mean, different from the geometric mean) of a dataset is the sum of all values divided by the total number of values.
How to solve it?The price of the costume jewelry is 3 standard deviations to the left of the mean.
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Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Please answer this correctly without making mistakes
Answer:
1213 tablespoons
1 teaspoon
Step-by-step explanation:
This answer is my interpretation of what the question is asking, it could be wrong.
This question says, one has 2426 tablespoons, and 2 teaspoons of a substance. If one were divided that quantity in half, how much of that substance could they have. So essentially, all one needs to do is divided 2426 by 2, and divide 2 by 2.
2426 ÷ 2 = 1213
2 ÷ 2 = 1