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2 years ago

Simplify the expression.

Mathematics

1 answer:

Maksim231197 [3]2 years ago

7 0

Answer:

6.8x - 5

Step-by-step explanation:

To answer this question I combined like terms:

(2.5x + 4.3x) - 5

2.5x + 4.3x = 6.8x

Then you add the 5 to the end of the expression:

6.8x - 5

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The base of a prism has n sides.

DaniilM [7]

A prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases (called lateral faces).
Hence:
1. if the base of a prism has n sides, then the prism has n lateral sides;

2. by the definition, a prism has 2 equal bases and from the first part it has n lateral faces that together form n+2 faces.

4 0

3 years ago

Write an equation of the line with a slope of 0 and y-intercept of 5.

nordsb [41]

Answer:

y = 5.

Step-by-step explanation:

The line is horizontal ( as the slope = zero) and will pass though the point where y = 5.

7 0

3 years ago

Read 2 more answers

PLS HELP!!! BRAINLIEST AND 50 POINTS!!!!! CORRECT ANSWERS ONLY PLS What is the value of x?

Vinil7 [7]

Answer:

x = 27

Step-by-step explanation:

39/26 = x /18

cross multiply

26x = (39)(18)

26x = 702

x = 27

8 0

3 years ago

A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro

USPshnik [31]

Answer:

The length of her second displacement = 247.12 m.

The direction of her second displacement = 31.24° from west.

Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

∴ OP = 374 m

We have to find the distance AP = x.

By using the cosine rule in triangle OAP

$cos \theta = \frac{OA^{2}+OP^{2}-AP^{2}}{2\times OA\times OP}$

After putting the given value, we get

$cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}$

$x^{2}=140^{2}+374^{2} - 2\times 140\times 374\times cos 20$

∴ x = 247.12 m

Hence,the length of her second displacement = 247.12 m.

Again,

By using the cosine rule in triangle OAP, we get

$cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}$

After putting the given value, we get

$cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}$

∴ α = 148.759°

Hence, the direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.

8 0

3 years ago

I need help with this, please answer right I will give brainelist

Gekata [30.6K]

Answer:

1 D. 400 spins

2 C.4/20

3 A. 6/20

Step-by-step explanation:

The more times you run a probability-based trial, the more likely you are to get close to the theoretical frequency.

Since 1 and 2 represent goals, just find the options that have three/four 2's and 1's. These are 5212, 2152, 2512, and 2112. Since there are 4 options out of 20, we can say our probability is 4/20

Since 1 and 2 represent goals, we have to find the options where there are no 1's or 2's. These are 6643, 3554, 4533, 6634, 4536, and 5546. Since there are 6 options out of 20, we can say our probability is 6/20

8 0

3 years ago