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Svetllana [295]
3 years ago
5

How to find x for similar right triangles

Mathematics
1 answer:
Marianna [84]3 years ago
5 0

{(12 \sqrt{7)} }^{2}  = 16x \\ 144 \times 7 = 16x \\ x = 63
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Solve for w.
dimulka [17.4K]
-1/4w-8+8=3 
-1/4w=3
w=-12

6 0
3 years ago
The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?
tensa zangetsu [6.8K]

The length of the shadow is 124.7 in

<u>Explanation:</u>

<u />

Given:

Angle, θ = 30°

Height of the fence,  h = 72 in

Length of the shadow, l = ?

Given:

tan 30° = \frac{perpendicular}{base}  = \frac{height of the fence}{length of the shadow}

\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7 in

Therefore, the length of the shadow is 124.7 in

5 0
3 years ago
A store sells a package of 7 water bottles for $5.60.<br> What is the price per water bottle?
Luden [163]
Since there is 7 water bottles in a package and the total price is 5.60, you divide 7 by 5.60 which gives you 1.25 per bottle
7 0
3 years ago
Use the formula to evaluate the series 1+2+4+8+...a10
valina [46]

Answer:

The sum of the given series is 1023

Step-by-step explanation:

Geometric series states that a series in which a constant ratio is obtained by multiplying the previous term.

Sum of the geometric series is given by:

S_n = \frac{a(1-r^n)}{1-r}

where a is the first term and n is the number of term.

Given the series: 1+2+4+8+.................+a_{10}

This is a geometric series with common ratio(r) = 2

We have to find the sum of the series for 10th term.

⇒ n = 10 and a = 1

then;

S_n = \frac{1(1-2^{10})}{1-2} =\frac{1-1024}{-1} =\frac{-1023}{-1}=1023

Therefore, the sum of the given series is 1023



8 0
3 years ago
What is the actual distance between these streets?
scoundrel [369]

It's D 4 3/8 miles

First you have to multiply 2 1/2 for the mile and 1 3/4 for the inches. You will get 4.375.Convert it to fraction which is 35/8 and simplify it to get 4 3/8.

Hope this helps!

8 0
3 years ago
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