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3 years ago

Sarah is solving the equation -7/8x=24

1 answer:

7 0

the answer would be -21 because you would have to multiply the 24 by -7 because it is dividing on the other side. and then you would have to divide the number you get by 8

so basically, it will look like this step by step:

-7/8x=24

8x=24*-7

8x=-168

x=-168/8

x= -21

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(05.01 MC) In triangle JKL, tan(b°) = three fourths and cos(b°) =four fifths. If triangle JKL is dilated by a scale factor of on

REY [17]

Answer:

$sin(b^\circ) = \dfrac{3}{5}$

Step-by-step explanation:

We are given a $\triangle JKL$ where $\angle K = 90^\circ$

$tan(b^\circ) = \dfrac{3}{4}\\cos(b^\circ) = \dfrac{4}{5}$

As per trigonometric rules,

$tan(\theta) = \dfrac{Perpendicular}{Base}$

$cos(\theta) = \dfrac{Base}{Hypotenuse}$

Comparing the given value of tangent and cosine:

Perpendicular = 3 units

Base = 4 units

Hypotenuse = 5 units

Also, we know that:

$sin(\theta) = \dfrac{Perpendicular}{Hypotenuse}$

$\Rightarrow sin(b^\circ) = \dfrac{3}{5}$

Now, it is given that the triangle is dilated by a scale factor of $\frac{1}{2}$ .

i.e. all the sides will become half of its initial values.

New Perpendicular = 1.5 units

New Base = 2 units

New Hypotenuse = 2.5 units

Using the formula for sine:

$sin(\theta) = \dfrac{Perpendicular}{Hypotenuse}$

$\Rightarrow sin(b^\circ)= \dfrac{1.5}{2.5}\\\Rightarrow sin(b^\circ)= \dfrac{15}{25}\\\Rightarrow sin(b^\circ)=\dfrac{3}{5}$

5 0

3 years ago

If $16,400 is deposited into a CD paying 5.1% annually, how much will be in the account after 20 years? Enter your answer rounde

lesya692 [45]

16,400 x (1 + 0.051)^20 =

16400 x (1.051)^20 =

16400 x 2.70429659 =

$44,350.46

4 0

3 years ago

Find the x= to the answer

pickupchik [31]

Answer:

17°

Step-by-step explanation:

I'm pretty sure because it has the arrow pointing up the angle x labeled 17 degrees...

(hope this helps!)

6 0

3 years ago

Can you solve number 7, number 8, and number 9

solmaris [256]

Hello!

To solve each expression, you need to substitute the given value for each given variable. If there is an x in the expression, then you substitute 5.07. If there's a y, then you substitute 1.5, and if there's a z, then you substitute 0.403.

7. 3.2x + y (substitute x = 5.07 and y = 1.5)

3.2(5.07) + (1.5)

16.224 + 1.5

17.724

8. yz + x (substitute y = 1.5, z = 0.403, and x = 5.07)

(1.5)(0.403) + (5.07)

0.6045 + 5.07

5.6745

9. z × 7.06 - y (substitute z = 0.403 and y = 1.5)

(0.403) × 7.06 - (1.5)

2.84519 - 1.5

1.34518

Final answers:

Number 7: 17.724
Number 8: 5.6745
Number 9: 1.34518

5 0

3 years ago

Can someone please help me with this quiz or does anyone have the answer key it’s by Gina Wilson.

tatiyna

Answer:

put a more clear pic

Step-by-step explanation:

6 0

3 years ago