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Eddi Din [679]
2 years ago
10

Find the slope of the line that passes through the following points a(4, -14) b(6, 18) ​

Mathematics
1 answer:
klemol [59]2 years ago
4 0

Answer:

Slope=16

Step-by-step explanation:

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2: A bag contains 5 black counters, 4 blue counters, and
drek231 [11]

Answer:

The probability that the counter  was blue is \mathbf{\frac{2}{5}}

Step-by-step explanation:

Number of black Counters = 5

Number of blue Counters = 4

Number of white Counters = 1

We need to write down the probability that the counter  was blue.​

First find Total Counters

Total Counters = Number of black Counters + Number of blue Counters + Number of white Counters

Total Counters = 5+4+1

Total Counters = 10

Now, we need to find probability that the counter taken was blue

The formula used is:

Probability= \frac{Number\:of\:favourable\:outcomes}{Total\:outcomes}

There are 4 blue counters in the back, so Favourable outcomes = 4

Probability= \frac{Number\:of\:favourable\:outcomes}{Total\:outcomes}\\Probability= \frac{4}{10}\\Probability= \frac{2}{5}

The probability that the counter  was blue is \mathbf{\frac{2}{5}}

5 0
3 years ago
Calculate the area of quadrilateral ABCD.<br> State the units of your answer.
cluponka [151]

Answer:

158.76 cm²

Step-by-step explanation:

Quadrilateral ABCD is composed of 2 right triangles

Construct the line BD, then

Δ ABD and Δ BCD are the 2 right triangles.

The area (A) of a triangle is calculated using

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

Δ ABD with b = 18 and h = 7.5

A = \frac{1}{2} × 18 × 7.5 = 9 × 7.5 = 67.5 cm²

Δ BCD with b = 15.6 and h = 11.7

A = \frac{1}{2} × 15.6 × 11.7 = 7.8 × 11.7 = 91.26 cm²

Thus

area of ABCD = 67.5 + 91.26 = 158.76 cm²

3 0
3 years ago
Number eight is my question
lys-0071 [83]
Which is 592/17 = 34.82 Rounding to the nearest tenth? Is 35.
5 0
3 years ago
una escalera esta recargada en un muro de 8 metros de altura y forma un angulo agudo de 55 grados ¿cual es la longitud de la esc
Illusion [34]

Answer:

9.77 metros

Step-by-step explanation:

Ay que usar sine, mira el problema en la photo

4 0
3 years ago
Find the correct plugged in formula for each figure.
Mars2501 [29]

Answer:

Area = 40 ( 84)+ 2 *(294)

Step-by-step explanation:

There is only one figure in the attached image and the solution (surface area) is as follows:

The shape can be sub-divided into:

1. Rectangle

Dimension: 40 by 35

2. Rectangle

Dimension: 40 by 28

3. Rectangle

Dimension: 21 by 40

4. 2 triangles

Base: 21 and Height: 28

Calculate area of each and add them up to get the surface area of the figure.

1. Rectangle

Dimension: 40 by 35

A_1 = 40 * 35

2. Rectangle

Dimension: 40 by 28

A_2 = 40 * 28

3. Rectangle

Dimension: 21 by 40

A_3 = 40 * 21

4. 2 triangles

Base: 21 and Height: 28

A_4 = 2 * \frac{1}{2} * 21 * 28

So, the area is:

Area = A_1 +...+A_4

Area = 40 * 35 + 40 * 28 +40 * 21 + 2 * \frac{1}{2} * 21 * 28

Factor out 40

Area = 40 ( 35 +  28 + 21 )+ 2 * \frac{1}{2} * 21 * 28

Area = 40 ( 84)+ 2 * \frac{1}{2} * 21 * 28

Area = 40 ( 84)+ 2 *(294)

8 0
3 years ago
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