The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°
<h3>What is
trigonometric ratio?</h3>
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
a) Let l represent the length of the guy wire.
sin(30) = (170 - 15) / l
l = 310 feet
b) Let Ф represent the angle, hence:
tanФ = 100/230
Ф = 23°
The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°
Find out more on trigonometric ratio at: brainly.com/question/24349828
Answer:
z=27^(1/3)=3
check:3x3x3=27
Step-by-step explanation:
Using a system of equations, it is found that one large jar holds 6 ounces and one small jar holds 4 ounces.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable l: Weight that a large jar holds.
- Variable s: Weight that a small jar holds.
One large jar and five small jars can hold 26 ounces of jam, hence:
l + 5s = 26, which is the first equation in matrix form.
Then:
l = 26 - 5s.
One large jar minus one small jar can hold 2 ounces of jam, hence:
l - s = 2, which is the second equation in matrix form:
Then:
l = 2 + s = 26 - 5s
2 + s = 26 - 5s
6s = 24
s = 4.
l = 26 - 5s = 6.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
7/3 is constant of proportionality and, 3/7 of a cup of red paint should be added to 1 cup of white paint.
Step-by-step explanation:
Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.
To make color pink,
for every 3 cups of red , we need 7 cups of white.
Let 'r' be the cups of red required
let 'w' be the cups of white required
so , as per the question
for 3 r we need = 7 w
r = 7/3 w
so, 7/3 is constant of proportionality and, 3/7 of a cup of red paint should be added to 1 cup of white paint.
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The answer is "The empty square has a side length of 10 and an area of 100 square units"
