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3 years ago

If arc VY = 132° and ∠YUV = 41°, what is the measure of arc XV?

Mathematics

1 answer:

Tom [10]3 years ago

5 0

Answer:

Step-by-step explanation:

Use this equation

$\frac{b - a}{2} = angle \: yuv$

where b is arc VY, A is arc XV.

Substitute the equation in

$\frac{132 - a}{2} = 41$

$132 - a = 82$

$- a = - 50$

$a = 50$

so our arc measure is 50

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A. A cylinder just fits into a cube of side length 36 m Calculate the percentage

Nataliya [291]

Answer:

21.5%

Step-by-step explanation:

volume of cube: 36x36x36

volume of cylinder: πx18²x36

Cylinder percentage: (πx18²x36) / 36x36x36 = π / 4 = 0.785

percentage of empty space: 1 - 0.785 = 0.215 (21.5%)

4 0

3 years ago

Students who attend Washington Middle School are either in seventh or eighth grade. At the end of the first semester 25% of the

Irina18 [472]

Answer:

There are 1240 students who attended Washington Middle School.

Step-by-step explanation:

Given:

Students who attend Washington Middle School are either in seventh or eighth grade.

At the end of the first semester 25% of the students at Washington Middle School were on the honor roll.

Seventh graders represented 60% of the students on the honor roll.

If 124 students on the honor roll were in eighth grade.

Now, to find the students attend Washington Middle School.

Let the total number of students be $x.$

So, the students at Washington Middle School were on the honor roll:

25% of $x$

$=\frac{25}{100} \times x$

$=\frac{25x}{100}$

$=\frac{x}{4}$

As, given seventh graders represented 60% of the students.

So, the students on the honor roll represented as seventh graders:

$60\%\ of\ \frac{x}{4}$

$=\frac{60}{100} \times \frac{x}{4}$

$=0.6\times \frac{x}{4}$

$=\frac{0.6x}{4}$

As, 124 students on the honor roll were in eighth graders.

Thus,

According to question:

$\frac{x}{4} -\frac{0.6x}{4} =124$

$\frac{x-0.6x}{4} =124$

$\frac{0.4x}{4} =124$

Multiplying both sides by 4 we get:

$0.4x=496$

Dividing both sides by 0.4 we get:

$x=1240.$

Therefore, there are 1240 students who attended Washington Middle School.

6 0

4 years ago

Divide X^4 +7 by X -3

o-na [289]

Check the picture below.

notice, when dividing we have to put the dividend in descending order, now, the cubic, square and single terms are there, but they have a coefficient of 0, as you see in the picture in green, so we add those properly.

6 0

2 years ago

If a triangle has sides of lengths 3, 4, and 5 units, then it is

nekit [7.7K]

Answer:

If a triangle has side lengths 3, 4, and 5 units, then its area is 6

Step-by-step explanation:

Deductive reasoning represents an important form of logical reasoning in which a conclusion is based on the concordance of multiple premises that are generally assumed to be true

we have

If a triangle has side lengths 3, 4, and 5 units, then its area is 6

we know that

1) If triangle has side lengths 3, 4 and 5, then is a right triangle because satisfy the Pythagoras Theorem

2) All right triangles have an area equal to one half the product of the two smaller side lengths

$A=\frac{1}{2}(a)(b)$

substitute the values

$A=\frac{1}{2}(3)(4)$

$A=6\ units^2$

therefore

The statement is valid based on deductive reasoning

8 0

4 years ago

A triangle with an area of 45.5 cm2 has a base

FromTheMoon [43]

If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height

Step 1. 14 ÷ 2 = 7

Step 2. 45.5 ÷ 7 = 6.5

Height = 6.5 cm

3 0

3 years ago