All categories

3 years ago

Hi, I am very stuck on questions 17 and 18. Can someone help please? Thanks

Mathematics

1 answer:

NISA [10]3 years ago

6 0

9514 1404 393

Answer:

17) x = 10√2

18) x = 4√6

Step-by-step explanation:

These problems rely on your knowledge of the side ratios of special triangles

45°-45°-90° triangle: 1 : 1 : √2

30°-60°-90° triangle: 1 : √3 : 2

17) 5 is the short side of the isosceles right triangle, so its hypotenuse is 5√2. That length is the shortest side of the 30/60/90 triangle, so its longest side is 2 times that:

x = 10√2

18) 8 is the longest side of the 30/60/90 triangle, so its long leg will be 8(√3)/2 = 4√3. The hypotenuse of the isosceles right triangle is √2 times that, so ...

x = (4√3)(√2)

x = 4√6

You might be interested in

Hello im asking can 32 go into 2? and if so how many times? thanks ill give brainiest and 5 points

slavikrds [6]

Answer:

Yes it can!!

Step-by-step explanation:

If you do 32/2 = 16

Two can go into 32, 16 times! :)

Good luck my friend! :D

8 0

3 years ago

Nate and his friends are building a skateboard ramp for an upcoming contest. The length of the ramp on the blueprint is 7.6 inch

ICE Princess25 [194]

Answer:

30.4 feet.

Step-by-step explanation:

We have been given the length of the ramp on the blueprint is 7.6 inches. The scale on the blueprint is 1 inch to 4 feet. We are asked to find the actual length of the ramp.

We will use proportions to solve our given problem as:

$\frac{\text{Actual length}}{\text{Scale length}}=\frac{4\text{ ft}}{1\text{ inch}}$

Now, we will substitute the scale length of ramp in our proportion as:

$\frac{\text{Actual length}}{7.6 \text{ Inches}}=\frac{4\text{ ft}}{1\text{ inch}}$

$\frac{\text{Actual length}}{7.6 \text{ Inches}}\cdot 7.6 \text{ Inches}=\frac{4\text{ ft}}{1\text{ inch}}\cdot 7.6 \text{ Inches}$

$\text{Actual length}=4\text{ ft}\cdot 7.6$

$\text{Actual length}=30.4\text{ ft}$

Therefore, the actual length of the ramp would be 30.4 feet.

7 0

3 years ago

The solution to which system of equations has an x-value of 3?

leva [86]

Answer:

Step-by-step explanation:

4 0

3 years ago

Which ordered pairs make both inequalities true? Check all that apply.

Andrej [43]

We can actually deduce here that the ordered pairs that make both inequalities true are:

(1,1)
(2, 2)

<h3>What is inequality?</h3>

An inequality is known to be an expression that shows that certain variables or values are not equal to each other. It is usually seen in an inequality expression as:

> (greater than)
< (less than)
≥ (greater than or equal to)
≤ (less than or equal to).

We see the attached image that shows the graph of inequality and which completes the question.

The options that complete the question are:

A. –2, 2

B. (0, 0)

C. (1,1)

D. (1, 3)

E. (2, 2)

When we insert the values of each axes into the inequality expressions given, we will discover that the ordered pairs that the inequalities true is (1,1) and (2, 2).

Learn more about inequality on brainly.com/question/25275758

#SPJ1

7 0

2 years ago

Find the first common multiple of 16 and 18

Kryger [21]

Answer:

144

:D that’s what I got

6 0

3 years ago

Read 2 more answers