multiply the sum of X and Y by 5 and divide the result by the product of two and a​

Answer:

B: VY = YB = YJ

Step-by-step explanation:

Looking at the options;

A) ∠VYB is not equal to ∠SJY because SJY is a straight line while ∠VYB is an angle.

B) VY = YB = YJ. This is true because they all start from Y which is the centre of the circle and they all terminate at the perimeter of the circle.

Thus,they are all equal to the radius and thus statement is true.

C) ∠SYV ≠ ∠SYB because there is no proof given that the angle of tilt is the same.

D) TX = MP = YJ is not true because TX and MP are chords which by inspection don't seem equal and neither the radius YJ appears to be equal to them.

E) ∠MJY ≠ ∠XSY because they have nothing in common in terms of angle.

Answer:

y = 0.125x² - 0.5x + 3.5

Hope that this helps!

Answer:

y = 0.125x² - 0.5x + 3.5

Step-by-step explanation:

I dont know if its correct hope it helped

Answer:a

Step-by-step explanation:

Answer:

b a

Step-by-step explanation:

The true statement about the expression (5 + y) * 8 is (d) It has two factors and the factor (5 + y) has two terms.

The expression is given as:

(5 + y) * 8

An expression represented as:

a * b

Has two factors, and the factors are a and b

This means that the expression (5 + y) * 8 has two factors

An expression represented as:

a + b

Has two terms, and the terms are a + b

This means that the expression 5 + y has two factors

Hence, the true statement about the expression (5 + y) * 8 is (d) It has two factors and the factor (5 + y) has two terms.

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Answer: Choice B

n-4 = 32

==============================================

Explanation:

We start with n students. The n is a placeholder for any positive whole number. After 4 of them drop the class, we're left with n-4 students.

Then we set that equal to 32, since that's the number of students left over.

This leads to the answer of n-4 = 32

Solving this equation gets us n = 36. We add 4 to both sides.

Answer:

C. 7.6 feet

Step-by-step explanation:

The measure of the diagonal of the rectangular garden will be 7.6 feet. Then the correct option is C.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Landon has a rectangular garden with an area of 27.6 square feet. If the length of the garden is 6.2 feet.

Then the width of the garden will be

Area = Length x Width

27.6 = 6.2 x W

    W = 4.45

Then the measure of the diagonal of the rectangular garden will be

D² = L² + W²

D² = 6.2² + 4.45²

D² = 38.44 + 19.8

D² = 58.24

D = 7.63

D ≅ 7.6 feet

Thus, the correct option is C.

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Answer:

15

Step-by-step explanation:

<XZY = 180-45-61 = 74°

according to sines rule :

XZ/sin Y = XY/sin Z

XZ/sin 61 = 24/sin 74

=> XZ = 24×sin 61 / sin 74

= 24× 0.87/ 0.96

= 21.75

XW/XZ = sin 45

=> XW = XZ × sin 45

= 21.75 × 0.71

= 15.44 = 15

Answer:

Step-by-step explanation:

Solve the equation for  

n

by finding  

a

,  

b

, and  

c

of the quadratic then applying the quadratic formula.

Exact Form:

n

=

−

2

±

2

√

37

9

Decimal Form:

n

=

1.12950278

…

,

−

1.57394722

…

Answer:

4.

l=22cm

b:16cm

h:10cm

surface area =2(lb+bh+lh)=2(22*16+16*10+22*10)

=1464cm²

5.

a=2.5dm

area cubical soda cracker box=6a²=6*2.5²=37.5dm²

6.

r=1.5dm

area of ball=4πr²=4π×1.5²=28.27dm² per ball

for 10 bal =28.27×10=282.6dm²

Answer:

134+144

Step-by-step explanation:

just take the answer (278)- the number they give you

278-

134

144

Answer:

Solution given:

x+134=278

subtracting 134 each term

x+134-134=278-134

x=144

Answer:

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].

Step-by-step explanation:

In general, let [tex](a,\, b)[/tex] denote the center of a given circle. Let [tex]r[/tex] denote the radius of that circle. The standard equation for that circle would be:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex].

The circle in this question is centered at [tex](6,\, 2)[/tex].  

The radius of this circle is [tex]2[/tex]. Therefore, [tex]r = 2[/tex].

Hence, the standard equation for this circle would be:

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].

Answer:

The answer is x^2( [tex]\sqrt[4]{x^2}[/tex] ).

Step-by-step explanation:

To find an expression equivalent to 4 sqrt x^10, start by simplifying 4 sqrt x^10. To simplify the original equation, rewrite [tex]x^{10}[/tex] as ([tex]x^{2}[/tex])^4 [tex]x^{2}[/tex]. Then, pull terms out from under the radical, which will look like [tex]x^{2}[/tex][tex]\sqrt[4]{x^2}[/tex]. Next, rewrite [tex]\sqrt[4]{x^2}[/tex] as [tex]x^{2}[/tex][tex]\sqrt{} \sqrt{x}^2[/tex]. Finally, pull terms out from under the radical, assuming positive real numbers, which look like [tex]\sqrt[x^2]{x}[/tex], and this will simplify 4 sqrt x^10.

Now, simplify [tex]x^{2}[/tex]([tex]\sqrt[4]{x^2}[/tex] ). To simplify, rewrite [tex]\sqrt[4]{x^2}[/tex] as [tex]\sqrt{} \sqrt{x^2}[/tex]. Then, pull terms out from under the radical, assuming positive real numbers, and the final answer is [tex]\sqrt[x^2]{x}[/tex].

Finally, 4 sqrt x^10 is equivalent to [tex]x^{2}[/tex]([tex]\sqrt[4]{x^2}[/tex] ).  

Answer:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Step-by-step explanation:

Given

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Required

Solve

We have:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Open bracket

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{2*7} - \sqrt{2*5} +\sqrt{5*7} - \sqrt{5* 5}[/tex]

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Answer:

-3.5

Step-by-step explanation:

5(.3) - 7(.5) + 6(.25) = 1.5 - 3.5 + 1.5 = -3.5

Here's the solution :

In a sphere,

[tex] \boxed{ \mathsf{surface \: \: area = 4\pi {r}^{2} }}[/tex]

now, let's solve :

hence, correct answer is B. 100π unit²

The surface area of the sphere is 100 π unit².

The correct option is B.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

We have,

Radius of Sphere= 5 unit

Now, the formula for Surface area of Sphere is

= 4πr²

= 4 (3.14) (5)(5)

= 4 x 3.14 x 25

= 314

= 10 π unit²

Thus, the Surface area is 10 π unit².

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Step-by-step explanation:

Edit:

a is 18

b is 36

c is 18

d is 18 times sqr root of 3

Answers:

sqrt is shorthand for "square root"

=====================================================

Explanation:

The smaller triangle on the left is a 45-45-90 triangle (aka isosceles right triangle). One special property of such triangles is that the legs are the same length, meaning a = c. Another special feature is that the hypotenuse is exactly sqrt(2) times that of the leg.

In other words, if x is the leg length, then x*sqrt(2) is the length of the hypotenuse. That means mean a = 18 in order for the hypotenuse to be 18*sqrt(2). This then leads to c = 18 as well.

--------------

The smaller triangle on the right side has a = 18 as the shorter leg, opposite the smallest angle (30 degrees). The hypotenuse b is twice that of the short leg, and this works because we're dealing with a 30-60-90 triangle. Therefore b = 2a = 2*18 = 36.

The longer leg d is equal to sqrt(3) times the short leg, ie,

d = a*sqrt(3)

d = 18*sqrt(3)

You could use the pythagorean theorem to solve for d like so:

a^2 + d^2 = b^2

18^2 + d^2 = 36^2

d^2 = 972

d = sqrt(972)

d = 18*sqrt(3)

I skipped a bunch of steps, but you get the idea.

Answer:

Rectangle: bh or l · w

Circle: pi(r)²

Answer:

(-7,5)

Step-by-step explanation:

the question was cut off, but I'm assuming that you want to find the location of Denver. Looking at the coordinate plane, Denver, would sit at (-7,5) as you find what x and y values they meet up at. Hopefully this answers your question

If we are looking for the location of Dallas (that is all I see), the coordinates would be as follows.

(2,-4)

Hope this helps.

Answer:

△RST∼△FGH by the AA Similarity Theorem.

Answer:

d

Step-by-step explanation:

Area of the inner circle = 3^2 π = 9 π

total area = 10^2 π = 100π

area of the shaded region

100π - 9 π = 91 π

The area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have:

The radius of the inner circle r = 3cm

The distance from the edge of the inner circle to the edge of the outer circle = 7 cm

So the radius of the outer circle = 7+3 = 10 cm

Area of the inner circle = π(3)²  = 9π square cm

Area of the outer circle = π(10)²  = 100π square cm

Area of the shaded region = 100π -9π = 91π square cm

Thus, the area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.

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Answer: I think it is false...

Answer:

The mean percentage of hourly employees being laid off at these stores is 52.

The median percentage of hourly employees being laid off at these stores is 55.

Step-by-step explanation:

Mean:

Sum of all values divided by the number of values.

So

[tex]M = \frac{55+56+44+43+44+56+60+62+57+45+36+38+50+69+65}{15} = 52[/tex]

The mean percentage of hourly employees being laid off at these stores is 52.

Median:

Value that separate the lower 50% from the upper 50% in the sorted set.

The sorted set is

36 38 43 44 44 45 50 55

The set has cardinality 15, which is an odd number, so the median is the element at the position (15+1)/2 = 8 of the sorted set, which is 55.

The median percentage of hourly employees being laid off at these stores is 55.

Answer:

(p, q) is (2, 5)

Step-by-step explanation:

Given the expression

x^2  + 3x - 10

Factorize;

x^2 + 5x - 2x - 10

x(x+5) - 2(x+5)

(x-2)(x+5)

Comparing with (x + p)(x + 9).

x+2 = x+ p

x-x+2 = p

2 = p

p = 2

Similarly;

x+5 = x+q

x-x+5 = q

5 = q

q=  5

Hence (p, q) is (2, 5)

Answer:

D

Step-by-step explanation:

Time is directly proportional to the Cost. And if you use the calculator you'll still get the answer by substituting the time into 21t

Answer: 30

Step-by-step explanation:

You multiply the base by the height, so 10*6=60

You then take that and divide it by 2 to get 30.

You do this because you assume that the triangle is half of a square.

Answer:

H.

Step-by-step explanation:

16x^2 is the big square area and the -10x comes from subtracting the smaller area from the big one

Answer:

H. is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

the  incidence of the depression is  1 ÷ 5

Step-by-step explanation:

Given that

There is 250 college students that are surveyed

In the case when 75 students reported for minimum ne engineering class

And, out of this 15 students would be depressed

We need to find out the incidence of the depression

So

= 15 ÷ 75

= 1 ÷ 5

Hence, the  incidence of the depression is  1 ÷ 5