How much greater is 42 inches than
1 yard? Explain.

Explenation:

Logarithm

log

b

x

is the exponent of a power with base

b

which gives the number under

log

sign (

x

).

In this example we can say that:

log

4

16

=

2

because:

4

2

=

16

Step-by-step explanation:

Step-by-step explanation:

y=-27

...................

Answer:

The cone holds 9.8 cubic inches ice cream

Step-by-step explanation:

Height of cone = 6 inches

The circular opening at the top is 2.5 inches across

Diameter of cone = 2.5 inches

Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]

Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]

Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]

Volume of cone = [tex]9.8125 in^3[/tex]

Hence the cone holds 9.8 cubic inches ice cream.

Answer

55

Step-by-step explanation:

2

5

(22)

=(

2

5

)(

22

1

)

=

(2)(22)

(5)(1)

=

44

5

(Decimal: 8.8)

which will give 55

PLease mark brainllest!!!!!!!

Answer:

2 divided by 5 = 0.4

22/0.4=220/4=55

55 is the number. Hope this helps.

Step-by-step explanation:

Answer:

5089.38 cm OR 1620π

Step-by-step explanation:

The formula for the volume of a cylinder is π[tex]r^{2}[/tex]h so if the radius is 9, 9 squared is 81. We multiply 81 by 20 and that gives us 1620. So in terms of pi, it is 1620π but if you just multiply it all together, it gives you 5089.38 cm. Please mark me brainliest and I hope this helped!

Based on the radius and the length of the cylinder, we can calculate that its volume is 5,091.43 cm³.

The volume of a cylinder can be calculated by the formula:

= π x radius² x height

Solving will give:

= π x 9² x 20

= π x 81 x 20

= 5,091.43 cm³

In conclusion, the volume is 5,091.43 cm³

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Answer:

(6, 24)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.

Hope this helped!

Answer:

A

Step-by-step explanation:

If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.

Answer:

r=3 ft

Step-by-step explanation:

it is similarity of two triangles

one

perpendicular side=10 ft

base=10/2=5 ft

second

perpendicular side=10-4=6 ft

Base r=?

[tex]\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft[/tex]

The solution is, the value is 35 degrees, is the measure of ZXYZ.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Using the intersecting secant theorem:

Angle xyz = 1/2( wz- XX)

Xyz = 1/2(175-105)

Xyz = 1/2(70)

Xyz= 35

The solution is, the value is 35 degrees, is the measure of ZXYZ.

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Answer:

$10

Step-by-step explanation:

4%  of 500 is 5 dollars  and two years is 10

Answer:

csc (- 30)° = - 2

Step-by-step explanation:

Using the trigonometric relationship

csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]

sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus

csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2

Answer:

A' = (-3, 3)

Step-by-step explanation:

If the points are as follows:

A = (-3, -1)

B = (-2, -3)

C = (1, -1)

When reflecting across a y axis the x values remain the same.

When reflecting across y = 1 the y values will remain equal distant from y = 1.

A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3

B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5

C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3

Answer:

A' = (-3, 3)

Step-by-step explanation:

Answer:

what exactly are we trying to solve for

Answer:

49

Step-by-step explanation:

7 is rational and it's the square root of 49.

Answer:

[p

Step-by-step explanation:

Question 10(Multiple Choice Worth 5 points)

(01.01 LC)

Which of the following is a rational number?

square root of 15, square root of 16 square root of 17, square root of 18

square root of 15

square root of 16

square root of 17

square root of 18

Answer:

I believe that the answers are B & C

Step-by-step explanation:

Hope this helps! Please pick me as brainliest!

Answer:

[tex] y = 40x +100[/tex]

where x is number of  weeks and y is weight in grams.

For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:

The predicted weight of the rat at birth

And the reason is because the starting value for the weigth represent the weight for the birth

Step-by-step explanation:

For this case we have the following equation given:

[tex] y = 40x +100[/tex]

where x is number of  weeks and y is weight in grams.

For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:

The predicted weight of the rat at birth

And the reason is because the starting value for the weigth represent the weight for the birth

Answer:

A. HL

Step-by-step explanation:

It cant be B because you cant do SSA

Its not C. Because there is only 1 angle

and it cant be D because the angles dont line up.

So is A. HL

In my view the answer is 2,048

I am not sure about this answer..so if it is mistake then sorry

Answer:

[tex]16^\frac{3}{2} = 64[/tex]

Step-by-step explanation:

[tex]16^\frac{3}{2}[/tex]

Factor the number: [tex]16 = 4^2[/tex]

[tex]= (4^2)^{\frac{3}{2} }[/tex]

Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]

[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]

[tex]= 4^3[/tex]

Refine:

[tex]=64[/tex]

Hope I helped, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

6.08 ft

Step-by-step explanation:

Volume of cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h

Radius = [tex]\sqrt{ \frac{V}{\frac{1}{3}\pi h } }[/tex]

[tex]R = \sqrt{\frac{376.8}{\frac{1}{3} \pi 10} }[/tex]

[tex]R = \sqrt{\frac{376.8}{10.47} }[/tex]

[tex]R = \sqrt{36.98}[/tex]

[tex]R = 6.08[/tex]

Answer:

y = -7x+4

Step-by-step explanation:

We can use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

We know the slope

y = -7x+b

We have a point to substitute in for x and y

-3 = -7(1) +b

-3 = -7+b

Add 7 to each side

-3+7 =b

4 =b

We can substitute this back into

y = -7x+b

y = -7x+4

Answer:

y+-7x+4

Step-by-step explanation:

y-y1=m(x-x1)

y+3=-7(x-1)

y+3=-7x+7

y=-7x+4

180°

Step-by-step explanation:

measure of half a circle arc is 180

From B to F is 180 degrees because BF is a diameter.  

Answer: 180 degrees

Answer:

Line B

Step-by-step explanation:

Line b is the the correct answer because the line has the most dots near or on it

Answer:

x+5+2/x+2

Step-by-step explanation:

Using polynomial division you can simplify the expression to find the above numerical answer

Answer:

x+5+2/x+2

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

If you extend the middle line, you will find that the two angles that the line makes are 60° and 40° by alternate interior angles.

Then, you can just make an equation:

2x + 2x - y + y + 60 + 40 = 360

4x = 260

x = 65°

Now you can use same side interior angles to make another equation:

2x - y + 60 = 180

130 + 60 - y = 180

y = 10

The total surface area of the rectangular pyramid is the sum of the whole area. Therefore, the total surface area is 108. 6cm²

The surface area of the rectangular pyramid is the sum of the whole areas.

The total surface area is the sum of the whole area.

A rectangular pyramid has 4 triangular faces and a rectangular base.

Therefore,

total surface area = 7.8 cm² + 7.8 cm² + 16.5 cm² + 16.5 cm² + 60 cm²

total surface area = 108.6 cm²

Therefore, the total surface area of the rectangular prism is 108. 6cm²

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Answer:

Step-by-step explanation:

Value of 4 in 42,672   = 40,000

Value of 4 in 37,426  = 400

40,000 ÷ 400 =100

Value of 4 in 42,672 is 100 times greater than value of 4 in 37,426

Answer:

The exact value of tan(60°) is √(3).

Step-by-step explanation:

The value of the trigonometric relation tan ( 60 )° = √3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

A = tan ( 60 )°

And , from the trigonometric identities , we get

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

So , the measure of tan ( 60 )° = √3

Hence , the trigonometric relation is solved

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Answer:

y=1/2x+0

Step-by-step explanation:

slope is 1/2

y=1/2x+b

plug in (0,0)

b=0

y=1/2x+0

Answer:

Equation: y=1/2x

Step-by-step explanation:

The equation's formula is: y=mx+b

m is slope b is y-intercept

Please mark brainliest! Hope this helps :)

Answer:

D

Step-by-step explanation:

Answer:

a) 10x + 8 = 21

b) x = 1.3

Step-by-step explanation:

The line of symmetry is a vertical line that passes through point C.

That makes sides BC and CD congruent, and sides AB and ED congruent.

perimeter = AB + BC + CD + DE + EA

perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8

perimeter = 21

a) Equation:

10x + 8 = 21

b)

10x + 8 = 21

10x = 13

x = 1.3