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3 years ago

PLEASE HELPPP!!! QUESTION AND ANSWERS IN PICTURE !!!

Mathematics

2 answers:

Fantom [35]3 years ago

8 0

Answer:

Step-by-step explanation:

tan(C) = opposite/adjacent

= 24/10

= 12/5

Andrej [43]3 years ago

4 0

Answer: option C is the correct answer

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AC represents the hypotenuse of the right angle triangle.

With m∠C as the reference angle,

BC represents the adjacent side of the right angle triangle.

AB represents the opposite side of the right angle triangle.

To determine Tan m∠C, we would apply

the Tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan C = 24/10

Tan C = 12/5

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Find x (round to the nearest tenth)

never [62]

9514 1404 393

Answer:

x = 8

Step-by-step explanation:

By AA similarity, ΔABD ~ ΔCDE. So, corresponding sides are proportional.

AB/BD = CD/DE

x/12 = 4/6

x = 12(4/6)

x = 8

5 0

3 years ago

Lori works as a cartoonist for a teen magazine.The time she spent sketching is given by the equation m=12s, where mis the number

Vera_Pavlovna [14]

Answer:

Lori spends <u>9 minutes</u> on sketching $\frac{3}{4}$ th of a sketch.

Step-by-step explanation:

Given equation:

$m=12\ s$

where $m\rightarrow$ number of minutes Lori spends on sketching

and $s\rightarrow$ number of sketches Lori makes.

We need to calculate the time spent by Lori in sketching $\frac{3}{4}$ of a sketch.

So we know the value of $s=\frac{3}{4}$ as $s$ represents number of sketches and in this situation Lori has sketched only a fraction of a painting.

So we plugin $s=\frac{3}{4}$ in the equation and calculate $m$ which is time spent by Lori sketching $\frac{3}{4}$ th of a sketch.

$m=12\ \frac{3}{4}$

$m=\frac{36}{4}$

∴ $m=9$ minutes (Answer)

∴ Lori spends 9 minutes on sketching $\frac{3}{4}$ th of a sketch.

5 0

3 years ago

Please help!! You will recieve 25 points if you answer correctly!

s344n2d4d5 [400]

When the graph rises one square for a run of one square, the slope is 2 km/(0.5 h) = 4 km/h. When the graph rises half that fast, the slope is 2 km/h. When the graph is horizontal, the slope is 0. The slope of the distance vs time curve is the speed.

S = 4 km/h, when 0 < t < 2 h
S = 0, when 2 h ≤ t < 2.5 h
S = 4 km/h, when 2.5 h ≤ t < 3 h
S = 0, when 3h ≤ t < 4 h
S = 2 km/h, when 4 h ≤ t < 5 h

8 0

4 years ago

1The volumes of two similar prisms are 972 cm3 and 36 cm3. The surface area of the larger prism is 594 cm2.

diamong [38]

Answer:

Part 1)

The scale factor of the smaller prism to the larger prism is 3

The scale factor of the larger prism to the smaller prism is 1/3

Part 2) The surface area of the smaller prism is 66 square centimeters

Step-by-step explanation:

Part 1) What is the scale factor for the similar figures?

we know that

If two figures are similar, then the ratio of their volumes is equal to the scale factor raised to the cube

Let

z ----> the scale factor

x ---> volume of the larger prism

y ---> volume of the smaller prism

$z^3=\frac{x}{y}$

we have

$x=972\ cm^3\\y=36\ cm^3$

substitute

$z^3=\frac{972}{36}$

Simplify

$z^3=27\\z=3$

therefore

The scale factor of the smaller prism to the larger prism is 3

The scale factor of the larger prism to the smaller prism is 1/3

Part 2) What is the surface area of the smaller prism?

we know that

If two figures are similar, then the ratio of their surface areas is equal to the scale factor squared

Let

z ----> the scale factor

x ---> surface area of the larger prism

y ---> surface area of the smaller prism

$z^2=\frac{x}{y}$

we have

$x=594\ cm^2$

$z=3$

substitute

$3^2=\frac{594}{y}$

solve for y

$y=\frac{594}{9}=66\ cm^2$

therefore

The surface area of the smaller prism is 66 square centimeters

6 0

3 years ago

P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7) Using the information above, answer the following questions. Find the length of RS Find th

Setler79 [48]

Answer:

Yes the Quadrilateral is a Parallelogram.

Step-by-step explanation:

A parallelogram can be defined as a quadrilateral i.e a geometric shape with four sides that has opposite sides parallel and equal in length.

From the question, we are given the following points

P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7)

Given points: (x1, y1) and (x2, y2)

The formula would be

√(x2 - x1)² +(y2 - y1)²

a) P(2, 2), Q(1, -3)

Length PQ = √(1 - 2)² +(-3 - 2)² = √-1² + -5² = √26

b) R(-4, 2), S(-3, 7)

Length RS = √(-3 - (-4))² + (7 - 2) ² = √ 1² + 5² = √26

c) R(-4, 2), Q(1, -3)

Length RQ = √(1 - (-4))² + (-3 - 2)² = √5² + 5² = √(25 + 25) = √50

d) S(-3, 7), P(2, 2)

Length SP = √(2 - (-3))² + (2 - 7)² = √5² +(-5)² = √(25 + 25) = √50

From the above solution, we can see that

Length PQ = Length RS

Length RQ = Length SP

This means the opposite sides are parallel and equal in length, hence it is a Parallelogram.

8 0

3 years ago