Solve for the exact values of x and y.
x =
y =

Answer:

x = 63

Step-by-step explanation:

Answer:

63°

Step-by-step explanation:

Applying the Angle Sum of Quadrilaterals,

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

Formula

[tex]\textsf{Arc length}=r \theta[/tex]

[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]

Calculation

Given:

[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}[/tex]

Answer:

step 1

Step-by-step explanation:

in step one,  it should have been 2 x 7 x 1000

Answer:

step 1

Step-by-step explanation:

In step 1 he separated 7000 as 7×100. but it should be 7×1000 or 70×100 because its 7000 not 700

The amount that he spend in total for food on Friday will be $ 40.80. Then the correct option is C.

The sum is also know as addition.

The table below represents a breakdown of food costs for Robert, a traveling salesman.

The amount that he spend in total for food on Friday will be

→ 13.30 + 10.76 + 16.74

→ $ 40.80

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Answer:

44.98

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

After the reflection over the line x = 0, the coordinates will be:

J' = (2, 1)

K' = (0, 4) = K

For any point (x, y), if we apply a reflection across the line x = 0, the image after the reflection will be (-x, y).

So it only changes the sign of the x-component.

In the graph, we can see that J = (-2, 1). So after the reflection, we will have:

J' = (2, 1).

And we also can see that K = (0, 4), then after the reflection, we have:

K' = (-0, 4) = (0, 4) = K

So point K does not change under that reflection.

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The least amount that Bill must pay to buy the tiles he needs is $292.50

The total cost of buying the tiles individually is : cost per tile x total tiles needed

$0.40 x 864 = $345.60

The total cost of buying the tiles in a box of 100 is : $32.50 x 9 = $292.50

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Answer:

D. a=1 and b=4

Step-by-step explanation:

x^2-2x+(-2/2)^2 =3+(-2/2)^2

x^2-2x+(-1)^2=3+(-1)^2

x^2-2x +1 =4

(x-1)^2=4

Therefore a=1 and b=4

Answer:

A) in Step 2

Step-by-step explanation:

Notice that x+6 and x-2 are factors of the expression, and they must be set equal to 0. The correct step would be x+6=0 and x-2=0. This student used the incorrect signs for the factors.

Answer:

B = 48

Step-by-step explanation:

8 x 6 = 48

hope this helps!

Answer: The solution of x is 2.5

Step-by-step explanation: hope it helps:)

Answer: [tex]x=\frac{5}{2}[/tex]  

Step-by-step explanation:

Simplify the expression:

[tex]-2x+14+10x=34[/tex]

[tex]\left(-2x+10x\right)+14=34[/tex]

[tex]8x+14=34[/tex]

Group all constants on the right side of the equation:

[tex]8x+14-14=34-14[/tex]

[tex]8x=34-14[/tex]

[tex]8x=20[/tex]

Isolate the x:

[tex]\frac{8x}{8}=\frac{20}{8}[/tex]

[tex]x=\frac{20}{8}[/tex]

[tex]x=\frac{5\cdot 4}{2\cdot 4}[/tex]

[tex]x=\frac{5}{2}[/tex]

The [tex]CORRECT[/tex]answer to this solution is: [tex]x=\frac{5}{2}[/tex]

[tex]calderonj4588~:)[/tex]

The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be 796.94 cubic mm.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The graph is given below.

The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be

Volume = [(πr²/2) + a x b] x h

Volume = [(π x 4.5²/2) + 9 x 2] x 16

Volume = [10.125π + 18] x 16

Volume = 48.808 x 16

Volume = 796.938

Volume ≅ 796.94 cubic mm

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original equation

[tex]\frac{x}{2}-\frac{3x}{4}+\frac{x}{6}=-\frac{2}{3}[/tex]

multiply by lcd

[tex]12(\frac{x}{2})-12(\frac{3x}{4})+12(\frac{x}{6}) =-12(\frac{2}{3})\\\\6x-9x+2x=-8[/tex]

isolate for x

[tex]-1x=-8\\\\x=8[/tex]

verify

[tex]\frac{8}{2}-\frac{3(8)}{4}+\frac{8}{6}=-\frac{2}{3}\\\\4-6+\frac{4}{3}=-\frac{2}{3}\\\\4-2+\frac{4}{3}=-\frac{2}{3}\\\\-\frac{2}{3}=-\frac{2}{3}\\\\LS=RS[/tex]

Step-by-step explanation:

(3m-4)² + 8(3m-2) = (3m-4)(3m-4) + 24m - 16 =

= 9m² - 3m×4 - 4×3m + 16 + 24m - 16 =

= 9m² - 24m + 16 + 24m - 16 = 9m²

so, there is seemingly something missing in your original expression.

going from 9m², the most likely solution would be 9m/4 and therefore B.

but we cannot be sure, because again, I don't know what you left out in the beginning.

Answer:

[tex]4 \sqrt{2}[/tex]

Step-by-step explanation:

Rewrite 32 as the product of 16 and 2:

[tex]\implies \sqrt{32}=\sqrt{16 \cdot 2[/tex]

Apply exponent rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]

[tex]\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}[/tex]

Rewrite 16 as 4²:

[tex]\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}[/tex]

Apply exponent rule [tex]\sqrt{a^2}=a[/tex]

[tex]\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}[/tex]

Answer:

4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{32}[/tex]

= [tex]\sqrt{16(2)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex]

= 4[tex]\sqrt{2}[/tex]

The computation of the word problem shows that the oranges that John will have in 12 weeks will be 70 oranges.

The word problem will be that John has 10 oranges and buys 5 more oranges every week. How many oranges will John have in 12 weeks?

The computation will be:

= 10 + 5x

where x= number of weeks.

= 10 + 5x

= 10 + 5(12)

= 10 + 60

= 70 oranges

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3

Step-by-step explanation:

there are 6 solutions, 3 contain 2 heads, i think. dont judge me if its wrong.

Answer:

Slope-Intercept: C,H,F,I,P,T

Standard: B,D,K,N,O,Q,S

Point-Slope: A,E,G,F,L,M,R

Step-by-step explanation:

Anything with the Y on one side of the equation and an X on the other is Slope-Intercept.

All the standard equations are the ones with the terms (X and Y) on one side of the equation, and a real number on the other.

The Point-Slope are all equations containing a Y value on one side, and an undistributed X value on the other.

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

Since the 2 by 2 matrix is given, hence the resulting value of I must be a 2 by 2 matrix.

Multiply the row of the first matrix with the column of the second to have:

[tex]\left[\begin{array}{ccc}-3&7\\-2&5\\\end{array}\right] \left[\begin{array}{ccc}-5&-7\\-2&3\\\end{array}\right] =\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]

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Answer:

incomplete

or

The first one

Step-by-step explanation:

hope this helps

have a good day

Answer:

Check the attached image for your answer.

Answer:

h = 14.4

Step-by-step explanation:

4h=57.6

Divide each side by 4

4h/4 = 57.6/4

h = 14.4

Answer:

See explanation

Step-by-step explanation:

Always divide the constant by itself and the value it equals.

1) Divide both sides by 4.

[tex]h=\frac{57.6}{4}[/tex]

2) Simplify [tex]\frac{57.6}{4}[/tex] to [tex]14.4[/tex].

h = 14.4

To check our answer,

4h = 57.6

1) Let h = 14.4

4 * 14.4 = 57.6

2) Simplify 4 × 14.4 to 57.6.

57.6 = 57.6

Answer: 104 degrees

Step-by-step explanation:

Answer:

the answer willl be D

Step-by-step explanation:

The percentage of simulations where the average for group A is at least 1.6 lower than the average for group B is 48%.

The following are the data points from the histogram where the average of group A is at least 1.6 less than average of group B.

At least -1.6 lower implies -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, 0, 1, etc.

Outcome of simulations = 1 + 8 + 16 + 23 = 48

Percentage of simulation = outcome/total x 100%

Percentage of simulation =  (48 x 100%)/100

Percentage of simulation =  48%

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Answer:

The answer is 6...Hope this might help you

Answer:

Volume of a cone = (1/3) πr³

r = radius = d/2 = 2/2 = 1 ft

Volume = (1/3) * π * 1³

volume = 1.04 cubic ft