Find the length of DC.

Answer is in the file below

tinyurl.com/wpazsebu

Step-by-step explanation:

Here we are going to use the Pythagoras theorem to get the Hight of the Television

[tex] {42}^{2} - {32}^{2} = x[/tex]

X Being the unknown side

[tex] {42}^{2} - {32}^{2} = 740 \\ x = \sqrt{740} = 27.2[/tex]

So the height is 27.2in

The Are of the screen would be L x B

27.2 x 32 = 870.2 in^2

We will use Pythagoras for the last question also

[tex] {40}^{2} + {32}^{2} = 2624 \\ \sqrt{2624} = 51.23[/tex]

She will need 51.23 in screen size

Answer:

x=±3. Explanation: g(x)=2x2−10 g(x)=8. ie 2x2−10=8 2x2=18 x2=9 x=±3.

Step-by-step explanation:

Answer:

x = 16.2

Step-by-step explanation:

5/9 = 9/x

5x = 81

x = 16.2

Answer:

Getting 21 ounces for $6.49 is a better deal!

Step-by-step explanation:

4.99 / 12.4 = 0.402419...

6.49 / 21 = 0.30904...

0.4 is larger than 0.30 therefore 0.30 is less and a better deal.

Have an amazing day! ^-^

Answer:

B) 2

Step-by-step explanation:

f(-2) = 2 * (-2)^2 + 3(-2)

f(-2) =  2 * 4 - 6

f(-2) = 8 - 6

f(-2) = 2

Answer:

If you have a spinner spin it 2 times if u dont have one just use a virtual one on the internet

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

By spinning it once, you have a 1/3 chance to land on A. By spinning it again, you have another 1/3 chance to land on A. If you add 1/3 and 1/3, you get 2/3.

Answer:

C. 15/8 is the correct answer and the mixed form would be 1 7/8

Step-by-step explanation:

Answer:

x/4 > 9

Step-by-step explanation:

The dog is able to run around in a circle with a radius of9 ft.

The area of a circle is A = pi r^2

A = (3.14) (9)^2

A= (3.14)(81)

A= 254.34 sq ft

Answer:

approx 41.6%

Step-by-step explanation:

Answer:

41.7%

Step-by-step explanation:

First, you will divide 20 by 48.

[tex]20/48=0.4167[/tex]

Secondly, you would multiply by 100%

[tex]0.4167* 100= 41.67%[/tex]%

If you round to the nearest whole number it would give you [tex]42[/tex]%. If it is rounded to the nearest tenth it would be [tex]41.7%[/tex]%

Answer:

(-5 1 0 0) and (-3 0 1 0)

Step-by-step explanation:

Based on my memory,  you can use the dot product to find orthogonality meaning

u1 . u2 = 0

In this case, we let u be the arbitrary vector represented by (x y z w)

u . (1 5 3 0) can be expressed as an equation given by:

{(x y z w) | x + 5y + 3z  + 0w= 0}

We solve this equation letting y = s and z = t and x = -5s -3t

Reconstruct this according to their variable will give

(-5 1 0 0)s + (-3 0 1 0)t = 0

So the basis vectors are (-5 1 0 0) and (-3 0 1 0).

Let c1 and c2 be arbitrary constants:

if you solve for c1(-5 1 0 0) + c2(-3 0 1 0) = 0

c1 and c2 should have only trivial solution, which proves its

linear independence and so it forms a basis vector space.

Answer:

your answer is b

Step-by-step explanation:

Answer:

− 1 6 + 4 3

Step-by-−

−6  ( 2 − 6 ) − 4 + 7

− 1 2 + 3 6 − 4 + 7

− 1 2 + 3 6 − 4 + 7

− 1 2 + 4 3 − 4

− 1 2 + 4 3 − 4

− 1 6 + 4 3

step explanation:

Distribute

Add the numbers

Combine like terms

Answer:

Parallelogram

Step-by-step explanation:

sorry if it's wrong

Answer:

X + 2 [tex]\geq \\[/tex] 19

Step-by-step explanation:

a number  ur going to represent with a variable x and increased by 2 means + 2 so x + 2 and when it say greater than or equal to remember that it always opens to the lager number or x + 2 and has a line underneath to represent the or equal to.

Answer:

A and B!!!

Step-by-step explanation:

Answer: 8:30, 16:60, 32:120

Answer:

your

Step-by-step explanation:

account

DELETED :)

Enjoy the rest of your day lovebug, if helpful... dont hesitate to mark as brainliest! ;)

Answer:

Step-by-step explanation:

x=1/2=2/4

y=5/4

y=2.5x

10/2.5=4

so x=4

Answer:

your answer is F . s=1/6r .

Answer:

y = -x -2

Step-by-step explanation:

Answer:

-x - 2 = y

I hope this is correct :P

Answer:

-16

Step-by-step explanation:

-a +4b

By putting the value a = 4 and b = -3

= -(4) + 4 × (-3)

= -4 - 12

= -16 (Ans)

Answer:

[tex]\boxed {\boxed {\sf x \approx 105.3}}[/tex]

Step-by-step explanation:

To solve for x, remember the right triangle trigonometry ratios (soh-cah-toa).

If we look at the angle given (θ), then we see that 36 is adjacent or next to the 70° angle. x is the hypotenuse because it is opposite the right angle. So, we have to use cosine (adjacent and hypotenuse).

[tex]cos (\theta)=\frac {adjacent}{hypotenuse}[/tex]

[tex]cos(70)=\frac{36}{x}[/tex]

Cross multiply. (Multiply the first numerator by the second denominator. Then, multiply the first denominator by the second numerator).

[tex]\frac{cos(70)}{1}=\frac{36}{x}[/tex]

[tex]cos(70)*x= 36[/tex]

Since we want to solve for x, we must isolate the variable. Divide both sides by the cosine of 70.

[tex]\frac{cos(70)*x}{cos(70)}=\frac{ 36}{cos(70)}\\x= 105.2569584[/tex]

Round to the nearest tenth. The 5 in the hundredth place tells us to round the 2 to a 3.

[tex]x \approx 105.3[/tex]

x is about 105.3