All categories

3 years ago

What is the value of X? (geometry, right triangles)

Mathematics

1 answer:

Dahasolnce [82]3 years ago

8 0

Answer:

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = $\frac{1}{2}$ , then

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{10}$ = $\frac{1}{2}$ ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5 → C

You might be interested in

2. Find the area of the regular polygon.

mash [69]

Answer:

P = 80

A = 480²

Step-by-step explanation:

To solve for the base we use the Pythagorean Theorem

$13^2-12^2=25\\\sqrt{25} =5$

then we multiply by 2 to get the side length

2x5=10

this is an 8 sided figure with congruent sides so to get the perimeter we multiply 8 and 10

8x10=80 so the perimeter is 80

To find the area of a regular polygon we multiply the apothem (12) and the perimeter (80) and divide by 2

12x80=960

960/2=480

the area is 480²

4 0

3 years ago

What is 49 times 49! Plz help me.

Natasha_Volkova [10]

2401 I had that question a few years ago

7 0

4 years ago

Question one pls<br> algebra 2<br> logarithms

nirvana33 [79]

Condense the logarithm on the right side:

$3\log_b(p)-\left(2\log_b(t)+\dfrac12\log_b(r)\right)$

$n\log_b(m)=\log_b(m^n) \implies \log_b(p^3)-\left(\log_b(t^2)+\log_b\left(r^{\frac12}\right)\right)$

$\log_b(m)+\log(n)=\log_b(mn) \implies \log_b(p^3)-\log_b\left(t^2r^{\frac12}\right)$

$\log_b(m)-\log(n)=\log_b\left(\dfrac mn\right) \implies \log_b\left(\dfrac{p^3}{t^2r^{\frac12}}\right)$

So,

$x=\dfrac{p^3}{t^2r^{\frac12}}$

and $r^{\frac12}=\sqrt{r}$ , which makes (4) the correct choice.

4 0

3 years ago

Help me plz I don’t really understand geometry

guajiro [1.7K]

Answer:

KI is congruent to WY

Step-by-step explanation:

SSS postulate that if three sides of a triangle are equal, so this means KI must be congruent to WY

7 0

3 years ago

astronauts use a tool in space that weighs 5 ounces on Earth. How many grams does the tool weigh? Round your answer to the neare

erik [133]

First you need to find how many grams is 1 ounce. 1o z.is 28.35 g, then you need to multiply 28.35 g by 5 which is 141.75. you need to round it to the nearest hundred so it is about 142 grams.

the key here would be

1 oz. = 28.35g or 1 oz. = 28 g

Hope this helps!

6 0

3 years ago

Read 2 more answers