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bekas [8.4K]
3 years ago
5

A rectangular prism has a volume of 320 cubic cm,and a height of 8 cm . What is the area of its base

Mathematics
1 answer:
gregori [183]3 years ago
4 0

Volume =length *breadth *height

Volume =area of the cross section *height

320=area of the cross section * 8

Area of the cross section =320/8

=40cm2

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What are the solutions of 3x2 + 14x + 16 = 0?<br><br> x = , –2<br> x = –2, <br> x = , 2<br> x = , 2
miskamm [114]
Assume you mean 3x^2 when you typed the question.

3x^2+14x+16=0
(3x+8)(x+2)=0

x=-8/3 or -2
7 0
3 years ago
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Yati has a coin box containing some coins. 40% of the coins are 20-cent coins and the rest are 50-cent coins.
lana66690 [7]

The fraction that should be removed is 1/5.

<h3>How to calculate the fraction?</h3>

It should be noted that from the information, 40% of the coins are 20-cent coins and the rest are 50-cent coins. Those that are 50 cent will be:

= 100 - 40%

= 60%

The fraction that's should be removed will be:

= 2/5 - x = 1/5

x = 2/5 - 1/5

x = 1/5

The fraction that should be removed is 1/5.

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brainly.com/question/17220365

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7 0
1 year ago
Given the parabola below, find the endpoints of the latus rectum. (x-2)^2=-20(y+2)
Shtirlitz [24]

Answer:

The endpoints of the latus rectum are (12, -7) and (-8, -7).

Step-by-step explanation:

A parabola with vertex at point C(x, y) = (h,k) and whose axis of symmetry is parallel to the y-axis is defined by the following formula:

(x-h)^{2} = 4\cdot p \cdot (y-k) (1)

Where:

y - Independent variable.

x - Dependent variable.

p - Distance from vertex to the focus.

h, k - Coordinates of the vertex.

The coordinates of the focus are represented by:

F(x,y) = (h, k+p) (2)

The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that h = 2, k = -2 and p = -5, then the latus rectum is between the following endpoints:

By (2):

F(x,y) = (2, -2-5)

F(x,y) = (2,-7)

By (1):

(x-2)^{2} = -20\cdot (-7+2)

(x-2)^{2} = 100

x - 2 = \pm 10

There are two solutions:

x_{1} = 2 + 10

x_{1} = 12

x_{2} = 2-10

x_{2} = -8

Hence, the endpoints of the latus rectum are (12, -7) and (-8, -7).

4 0
2 years ago
Which expression is equivalent to -2.1 + (-5.9) + (-3.7)?
devlian [24]
I think the best answer would be (A) (2.1+5.9+3.7) but the only difference is that one is negative an the other is positive
4 0
3 years ago
Tell me how you got the it
stich3 [128]

Answer:

  x° = 67°

Step-by-step explanation:

1. The first three diagrams are showing you that opposite exterior angles are congruent. Based on that, when you are faced with opposite exterior angles in the fourth diagram, you are able to conclude they are congruent. That means x° = 67°.

2. You can determine the other angles in the figure based on linear angles being supplementary, and same-side interior angles being supplementary. After you work through all the angles, you find that x = 67.

6 0
3 years ago
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