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Pavlova-9 [17]
4 years ago
15

What is the largest prime that divides both 20 + 14 and 20 - 14?

Mathematics
1 answer:
serg [7]4 years ago
4 0
The answer is obviously 2
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Kenneth wants to sew a tent, including the bottom so that it is entirely enclosed. He has a rectangular piece of canvas with dim
Vadim26 [7]

Based on the calculations, the depth of tent is equal to 12 feet.

<h3>How to calculate the depth of the tent?</h3>

Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):

  • Triangle ABC is an isosceles triangle (AB = AC).
  • The front and back of the triangle are identical triangles.
  • Side AD is perpendicular side BC.
  • CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.

Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:

AC² = AD² + DC²

AD² = AC² - DC²

AD² = 5² - 3²

AD² = 25 - 9

AD² = 16

AD = √16

AD = 4 feet.

Also, we would determine the area of the triangle (ABC):

Area = 1/2 × b × h

<u>Where:</u>

  • b is the base area.
  • h is the height.

Substituting the given parameters into the formula, we have;

Area = 1/2 × 6 × 4

Area = 12 feet².

Depth of tent = 3 × height of ADC

Depth of tent = 3 × 4

Depth of tent = 12 feet.

Read more on area of triangle here: brainly.com/question/21917592

#SPJ1

7 0
1 year ago
Javier made a scatterplot to show the data he collected on the growth of a plant.
Leya [2.2K]

Answer:

The answer is C i.e y = 3.25 x + 4.60

Step-by-step explanation:

Given the graph in which the Javier  made a scatter plot to show the data he collected on the growth of a plant.

Now, we have to choose the equation which best represents Javier's data.

The graph shown does not pass through origin therefore intercept can not be equal to 0. hence solution A discarded.

The graph of rest of three solutions attached and the points which shown in the graph match to the points on the graph of solution third as shown. Hence, The answer is C i.e y = 3.25 x + 4.60


4 0
3 years ago
Please help me I would really appreciate it.
Karo-lina-s [1.5K]

Given:

\overline{AB}\cong \overline {CD},\overline{BC}\cong \overline {DA}

To prove:

\Delta CDA\cong \Delta ABC

Proof:

In \Delta CDA\text{ and } \Delta ABC,

\overline{AB}\cong \overline {CD} because Given

\overline{BC}\cong \overline {DA} because Given

\overline{AC}\cong \overline {AC} because Reflexive property.

Corresponding sides of both triangles are congruent. So,

\Delta CDA\cong \Delta ABC because SSS

Therefore, the required missing values are: Given, \overline{BC}\cong \overline {DA}, Reflexive property ,\Delta CDA\cong \Delta ABC, SSS respectively.

5 0
3 years ago
Pleaseee help me asap
valkas [14]

Answer:

(0,-3)

Step-by-step explanation:

You can just graph it and find the center.

Please put me as brainliest. Thank you.

7 0
3 years ago
Pyramid A is a square pyramid with a base side length of 7 inches and a height of 6 inches. Pyramid B has a volume of 3,136 in?.
anygoal [31]

Answer:

WE HAVE FIND HOW MUCH MAY TIME BIGGER IS THE VOLUME OF PYRAMID B THAN PYRAMID A.

The answer is 32 times

Step-by-step explanation:

Volume of Pyramid B = 3136 in³

Volume of Pyramid A = ?

We have to find volume of Pyramid A. As Pyramid is a square pyramid, its volume is given as:

V=\frac{(b^2)(h)}{3}

where b = base = 7  and h = height = 6. Substitute the values:

V=\frac{7^2\cdot6}{3}\\V=98\\

Volume of Pyramid A = 98 in³

To find how many time B is bigger than A, divide volume of B by A:

\frac{3136}{98}=32

So, volume of Pyramid B is 32 times bigger than volume of Pyramid A

6 0
3 years ago
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