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2 years ago

Find the value of each variable. Please help

Mathematics

1 answer:

maria [59]2 years ago

6 0

Step-by-step explanation:

a is the interior angle of the 2 opposing arc angles. the interior angle is the mean value between the 2 arc angles.

a = (145 + 45)/2 = 190/2 = 95°

b is the simply the supplementary angle to a (meaning together they are 180°, because the sum of all angles around a single point on one side of a line is 180°).

b = 180 - 95 = 85°

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Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h

shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

Consider a ΔABC be the play ground vertex of playground,

And AB and BC be the sides making right angle.

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

For Rectangle dimensions,

We know that if same sized triangles composes each other forms a rectangle.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

5 0

3 years ago

A math teacher keeps her wall-sized graph paper in a box shaped like a triangular prism. The triangular face of the prism has a

yaroslaw [1]

(24 × 17 × 130\2)

24 × 17 = 408 x 130 = 53,040 / 2 = 26,520
So the volume of this box is

C= 26,520 cm^3

6 0

2 years ago

16x+5=12x-6, 4x+5=-6 what property is that

Nuetrik [128]

Answer:

subtraction property

Step-by-step explanation:

because you subtracted 12x from 16x to get 4x+5=-6

3 0

3 years ago

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scoray [572]

The answer is D. 63. You have to set up a proportion as shwon in the image.

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3 years ago

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A committee of 4 people is randomly selected from a group of 5 Republicans and 6 Democrats. What is the probability that the com

IgorLugansk [536]

We have 5 Republican Candidates and 6 Democratic Candidates

We have a total 11 candidates to choose from

First pick of Democratic Candidates = 6/11
Second pick of Democratic Candidates = 5/10
Third pick of Democratic Candidates = 4/9
Fourth pick of Democratic Candidates = 3/8

The probability of four Democratic candidates in the committee is
$\frac{6}{11}$ × $\frac{5}{10}$ × $\frac{4}{9}$ × $\frac{3}{8}$ = $\frac{360}{7920} = \frac{1}{22}$

4 0

4 years ago