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2 years ago

What trigonometric expression can be used to find the value of x? Replace a and b with the correct values.

Mathematics

1 answer:

adell [148]2 years ago

6 0

Answer:

x ≈ 8.39

Step-by-step explanation:

You'd have to use the tangent ratio in order to solve for x.

tangent ratio = opposite/adjacent

tan 50° = 10/x

x = 10/tan 50°

x = 8.39099631177

≈ 8.39

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Se tiene un rectángulo cuya base mide el doble que su altura y su área es 12

irina [24]

Answer:

Part 1) The perimeter is $P=6\sqrt{6}\ cm$

Part 2) The diagonal is $d=\sqrt{30}\ cm$

Step-by-step explanation:

The question in English is

You have a rectangle whose base is twice the height and its area is 12

square centimeters. Calculate the perimeter of the rectangle and its diagonal

step 1

Find the dimensions of rectangle

we know that

The area of rectangle is equal to

$A=bh$

$A=12\ cm^2$

$bh=12$ ----> equation A

The base is twice the height

$b=2h$ ----> equation B

substitute equation B in equation A

$(2h)h=12\\2h^2=12\\h^2=6\\h=\sqrt{6}\ cm$

Find the value of b

$b=2\sqrt{6}\ cm$

step 2

Find the perimeter of rectangle

The perimeter is given by

$P=2(b+h)$

substitute

$P=2(2\sqrt{6}+\sqrt{6})\\P=6\sqrt{6}\ cm$

step 3

Find the diagonal of rectangle

Applying the Pythagorean Theorem

$d^2=b^2+h^2$

substitute

$d^2=(2\sqrt{6})^2+(\sqrt{6})^2$

$d^2=30$

$d=\sqrt{30}\ cm$

3 0

3 years ago

A construction company is considering submitting bids for two contracts. The company estimates that it has a

Paraphin [41]

Answer: 0.57

Step-by-step explanation:

khan academy

7 0

3 years ago

Bob opened a savings account with $115. He now saves$35 a month(x). Write an equation representing how much money (y) Bob has in

disa [49]

Answer:

y=115+35x

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

1. Sarah applies the pearl guitar fret markers to her fret board as shown. Each fret marker is in the shape of a parallelogram.

Flura [38]

Answer:

315

Step-by-step explanation:

We are told in the question that each fret marker is in the shape of a parallelogram

The area of a parallelogram is given as

Base × Height.

Each of the bottoms of the fret markers has the following values

Base = 52.5mm

Height =6 mm

The area of each of the bottom fret markers

= Base × Height

= 52.5 × 6

= 315

Therefore, the area of each of the bottom fret markers without unit is 315

7 0

3 years ago

A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the groun

Andrews [41]

The angle = 67° and the pole is a right-angled triangle. Therefore the distance required to find (say "x) is the angle opposite the right-angle. The following equation needs to be solved:

cos 67 = 137 / x

Solving for x;
x = 350.62 ft

3 0

3 years ago