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inysia [295]
3 years ago
7

A mathematical statement that two or more expressions are equal.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0
An equation is a mathematical statement that two expressions are equal
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For the right triangles below, find the exact values of the side lengths b and d.
Ivanshal [37]

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below;

According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"

According to SOH, CAH, TOA;

tanθ = opposite/adjacent (using TOA)

Given;

θ = 30°, opposite = 5 and adjacent = b

tan30° = 5/b

b = 5/tan30°

b = 5/(1/√3)

b = 5*√3/1

b = 5√3

According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7

Using SOH;

sinθ = opposite/hypotenuse

Given;

θ = 45°, opposite = d and adjacent = 7

sin45° = d/7

d = 7sin45°

d = 7(1/√2)

d = 7/√2

Rationalize 7/√2

= 7/√2*√2/√2

=7√2/2

Hence the value of d is 7√2/2

7 0
3 years ago
An equation and the steps to solve it are shown below:
Anna11 [10]
Step 2 is where the error was made.
8 0
3 years ago
Read 2 more answers
Tom wants new carpeting for his bedroom. His room is a 999 meters by 777 meters rectangle. How much carpeting does he need to bu
fomenos

Answer:

777,223 meters squared

Step-by-step explanation:

To find the amount of carpeting, we must find the area of the floor of Tom's bedroom.

To find area, we multiply the length and width of the rectangle.

999 x 777 = 776,223

Remember, when we find the area, we must give the answer in square units.

Our final answer is 777,223 meters squared

3 0
4 years ago
Please help will give brainliest
torisob [31]

Answer:

75.89

Step-by-step explanation:

rffgfbbfb

3 0
3 years ago
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. The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1220 and a standard
rewona [7]

Answer:

0.78015

Step-by-step explanation:

Given that :

Mean, μ = 1220

Standard deviation, σ = 110

Probability that sales is less Than 1305 on a given day

P(x < 1305) :

Obtain the standardized score Z

Z = (x - μ) / σ

Z = (1305 - 1220) / 110

Z = 85 / 110

Z = 0.7727272 = 0.7727

P(Z < 0.7727) = 0.78015 (Z probability calculator)

6 0
3 years ago
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