10.5 equal or less than 10.005

Solving a right triangle (ROUND TO THE NEAREST TENTH)

Kay [80]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for B

B = 180° - (90 + 40)° = 180° - 130° = 150°

--------------------------------------------------------------

sin40° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{21}$

Multiply both sides by 21

21 × sin40° = a, thus

a ≈ 13.5 ( to the nearest tenth )

--------------------------------------------------------------

cos40° = $\frac{adjacent}{hypotenuse}$ = $\frac{b}{21}$

Multiply both sides by 21

21 × cos40° = b, thus

b ≈ 16.1 ( to the nearest tenth )

3 0

3 years ago

X^2 - y^2 = 100

luda_lava [24]

Answer:

20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

8 0

3 years ago

What is the square inches?

otez555 [7]

Answer:

given :-

for rectangular part: length=12in, breadth=8in

for triangular part:base=8in, height=3in

area of the given fig:

area of the given fig:area of 2 triangles +area of rectangle 

 $→2( \frac{1}{2} \times b \times h) + l \times b \\ →2( \frac{1}{2} \times 8 \times 3) + 12 \times 8 \\ →24 + 96 \\ → {120in}^{2}$ 

<h2>hope it helps you<3</h2>

<h3 />

5 0

2 years ago

Decide how each action would affect your credit score.

KengaRu [80]

Answer:

Paying 30 days or more past due could drop your score as much as 100 points.

4 0

4 years ago

Which function has the greatest constant of variation? A x 8 9 10 11 y 20 22.5 25 27.5 B x 1 2 3 4 y 3.2 6.4 9.6 12.8 C On coord

myrzilka [38]

Answer:

d

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers