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3 years ago

Which transformation would you do to solve this

Mathematics

1 answer:

kykrilka [37]3 years ago

5 0

Answer:

C. multiply both sides by 3/2

Step-by-step explanation:

2y/3 = 16

The first step is to multiply by 3/2 so we can isolate y

2/3 y * 3/2 = 16 * 3/2

y =8*3

y =24

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The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

4 0

3 years ago

Each month, Molly budgets $1450 for fixed expenses, $600 for living expenses, and $340 for annual expenses. Her annual net incom

den301095 [7]

Answer:

surplus of 150$

Step-by-step explanation:

1853.68 + 178. times .249 = ......................owed at the end of the month

1450 +600 + 340 = $2390. * 12= $28 680. annually ..

30480 - 28680 = $1800. surplus at the end of the year divided by 12 = $150.00 monthly surplus

4 0

3 years ago

Read 2 more answers

Please Help!!! Will Give brainliest!!

Nataly [62]

Answer:

B?????

Step-by-step explanation:

6 0

3 years ago

In a mall, 1/15 of the stores sell shoes. There are 180 in total. How many stores sell shoes?

8090 [49]

12 stores sell shoes.

6 0

3 years ago

its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai

brilliants [131]

$T = \frac{-9}{2}x + 103$ is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

Solution:

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain

Given, when c = 6 thousand ft and $T = 76^{\circ}$ fahrenheit

This implies,

From (i)

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c ----- (ii)

Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain

Given, when c = 12 thousand ft and $T = 49^{\circ}$ fahrenheit

This implies,

From (i)

49 = c(12) + k

49 = 12c + k

Substitute (ii) in above equation

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

$c = \frac{-9}{2}$

Substituting the value of c in (ii) we get

$k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103$

Substituting the value of c and k in (i)

$T = \frac{-9}{2}x + 103$

Where "x" is in thousands of feet

Thus the required linear equation is found

5 0

3 years ago