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2 years ago

Solve for the variable shown. Round answers to the nearest hundredth if needed.

Mathematics

1 answer:

Olenka [21]2 years ago

4 0

Answer and Step-by-step explanation:

Question 4:

We need to solve for y, so we need to use the cosine trig function, which is adjacent divided by hypotenuse.

$cos(21) = \frac{y}{18}\\\\18(cos(21)) = y = 16.8\\\\\\$

Question 5:

We need to use the sine trig function, which is opposite divided by hypotenuse.

$sin(43) = \frac{31}{x} \\\\x = \frac{31}{sin(43)} = 45.45$

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The mass of the Earth is 5.972x10^24 kg. the mass of the moon is 7.3 x 10^22kg. find the total mass, in kg, of the Earth and the

torisob [31]

Answer:

6045000000000000000000000 kg.

Step-by-step explanation:

We have been given that the mass of Earth is $5.972\times10^{24}$ kg. The mass of the Moon is $7.3\times10^{22}$ kg.

To find the total mass we will add mass of Earth and Moon.

First of all let us convert the given masses in standard form.

$5.972\times10^{24}=5972000000000000000000000$

$7.3\times10^{22}=73000000000000000000000$

$5.972\times10^{24}+7.3\times10^{22}$

$5972000000000000000000000+73000000000000000000000$

$6045000000000000000000000$

Therefore, the mass of Earth and Moon is 6045000000000000000000000 kg.

8 0

2 years ago

What does m represent in the equation y = mx + b?

dexar [7]

Answer:

B. the slope of the graph of y = mx + b

Step-by-step explanation:

m is the slope.

y is the y value

x is the x value

b is the y intercept

8 0

2 years ago

Read 2 more answers

If....................

kobusy [5.1K]

Answer:

C - 22

Step-by-step explanation:

Put in '3 ' for 'x' in both of the equations....then multiply the results together

f(3) = 3 (3)^2 - 5 = 22

g(3) = -1

22 * -1 = -22

5 0

1 year ago

Read 2 more answers

Can someone help please Stickers are sold in packages of 15 sheets. If there are 20 students in the class, how many packages of

MrRa [10]

Answer:

4 packages

Step-by-step explanation:

If there are 20 and stickers are sold in 15 sheets, then you got to work backwards. take the answer and multiply it by the amount of sheets. For example: 4 times 15 is 60, 60 divided by 20 is 3. No leftover numbers.

8 0

2 years ago

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Trapezia ABCD and PQRS are similar.<br> Find the area shaded in green.

avanturin [10]

The area shaded in green is 864 cm²

<h3>Similar figures</h3>

Similar figures, corresponding angles are congruent and the sides are ratio of each other. Therefore,

AB / PQ = CD / RS

30 / 10 = 24 / RS

30RS = 240

RS = 240 / 30

RS = 8 cm

let find the height of trapezium PQRS.

AB / PQ = 36 / h

30 / 10 = 36 / h

30h = 360

h = 360 / 30

h = 12 cm

Therefore,

area of the green portion = area of ABCD - area of PQRS

<h3>Area of a trapezium</h3>

area = 1 / 2(a + b)h

Therefore,

area of ABCD = 1 / 2(24 + 30)36 = 1 / 2 (54)36 = 1944 / 2 = 972 cm²

area of PQRS = 1 / 2(10 + 8)12 = 1 / 2(18)12 = 216 / 2 = 108 cm²

Area of the green portion = 972 - 108 = 864 cm²

learn more on trapezium here: brainly.com/question/11961445

6 0

1 year ago