look at the attachment

Answer:

a = 22

x = 96

y = 144

Step-by-step explanation:

In the given figure

∵ The figure is a quadrilateral

∵ Each two adjacent have the same mark

∴ Every two adjacent sides are equal

∵ The perimeter of the quadrilateral is the sum of its outline sides

∴ The perimeter of the quadrilateral = 10 + 10 + a + a

∴ The perimeter of the quadrilateral = 20 + 2a

∵ The perimeter of the quadrilateral = 64 units

→ Equate the right sides of the perimeter

∴ 20 + 2a = 64

→ Subtract 20 from both sides

∵ 20 -20 + 2a = 64 - 20

∴ 2a = 44

→ Divide both sides by 2 to find a

∴ a = 22

If a line segment joins the vertex of measure y and the vertex of measure 24°, then it will divide the quadrilateral into 2 congruent triangles by the SSS case.

→ Use the result of congruency to find x

∵ The opposite angles of measures x and 96° are equal

∴ x = 96

∵ The sum of the measures of the angle of a quadrilateral is 360°

∴ 96° + y° + 96° + 24° = 360°

→ Add the like terms on the left side

∵ (96 + 96 + 24) + y = 360

∴ 216 + y = 360

→ Subtract 216 from both sides

∵ 216 - 216 + y = 360 - 216

∴ y = 144

Answer:

Step-by-step explanation:

6 * 4500= 27000

Answer:

27,000 pounds.

Step-by-step explanation:

Answer:

12√2, 12√2

Step-by-step explanation:

For x:

We have the hypotenuse and are trying to find the angle opposite to 45 degrees. Using sine = opposite / hypotenuse we get sin45=x/24 so x = 24sin45 = 24 * √2/2 = 12√2

Beacuse the angle is 45 degrees we know that the the missing angle is also 45 degrees (180 - 90 - 45 = 45) so x and y must be the same (the triangle is isosceles) so y is also 12√2

Answer:

The percent error of the length of the soccer field is 1.4%

Step-by-step explanation:

Actual length of soccer field = 500 feet

Length shown in measuring instrument = 493 feet

We need to find the percent error of the length of the soccer field.

The formula used to find percent error of the length of the soccer field is: [tex]Percent\:error=\frac{approximate\;value-exact\:value}{exact\:value}\times 100\%[/tex]

The exact length = 500

Approximate length = 493

Putting values and finding percent error

[tex]Percent\:error=|\frac{approximate\;value-exact\:value}{exact\:value}|\times 100\%\\Percent\:error=|\frac{493-500}{500}|\times 100\%\\Percent\:error=|-0.014|\times 100\%\\Percent\:error=0.014\times 100\%\\Percent\:error=1.4\%[/tex]

So, the percent error of the length of the soccer field is 1.4%

Answer:

The answer is 1.675

Step-by-step explanation:

 I divided the mass value by  1000. There you go, Hope this helps!!!

Answer:

3p-p

Step-by-step explanation:

I always think of the negative sign out ruling the positive sign so let's do that for the -p part.

3p-p is what it becomes

Your question says simplify but just in case you want the answer here it is:

-p is also the same as -1p

So therefore we have

3p-1p

And we subtract the coefficients and keep the variable

2p would be your answer but once again I don't know if you wanted that so just to be sure I put 3p-p as my "answer".

Answer:

x = 437.3 ft

Step-by-step explanation:

Angle of elevation = angle of depression = 29°

Reference angle = 29°

Adjacent side = x

Hypotenuse = 500

Applying trigonometric ratio, we have:

Cos 29 = x/500

Multiply both sides by 500

500*cos 29 = x

437.309854 = x

x = 437.3 ft (nearest tenth)

Answer:

400

Step-by-step explanation:

Tge 6 in the tens place is greater than 5, so you round the 3 up to 4.

If the number that determines where you round is 5 or more, round up.

So 366 rounded to the hundreds place is 400.

The answer is 400.

Happy to help!!! :)

Answer:

x = -49

Step-by-step explanation:

f(17) = -3(17) + 2

f(17) = -51 + 2

f(17) = -49

Answer:

0.172 ; 0.0884 ; 0.9115

Step-by-step explanation:

Proportion or those who feel secure, p = 0.45

Sample size, n = 8

Using the binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

A.) p(x = 5)

P(x =5) = 8C5 * 0.45^5 * 0.55^3

P(x = 5) = 56 * 0.0184528125 * 0.166375

P(x = 5) = 0.1719248540625

P(x = 5) = 0.172

B.) P(x > 5)

P(x > 5) = P(x = 6) + P(x = 7) + P(x = 8)

P(x > 5) = 0.0703 + 0.0164 + 0.0017

P(x > 5) = 0.0884

C.) P( ≤ 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)

Using the binomial probability calculator to obtain a direct solution :

P( ≤ 5) = 0.9115

Answer:

x=2

Step-by-step explanation:

4^2x-4=4^0

2x-4=0

2x=4

x=4/2

x=2

If the starting equation is

4²ˣ - 4 = 1

first move the 4 on the left to the right side:

4²ˣ = 5

Take the base-4 logarithm of both sides:

log₄(4²ˣ ) = log₄(5)

Drop the exponent on the left, using the property [tex]\log_b(a^n)=n\log_b(a)[/tex]:

2x log₄(4) = log₄(5)

Now [tex]\log_b(b)=1[/tex] for any b, so

2x = log₄(5)

Solve for x by dividing both sides by 2:

x = 1/2 log₄(5)

You can also express this as

x = log₄(√5)

to make the solution slightly more compact.

You can also use the change-of-base identity to rewrite the solution as

x = log(5) / (2 log(4))

where the base of the logarithm is arbitrarily chosen. Then

x = log(5) / log(4²)

x = log(5) / log(16)

x = log₁₆(5)

Answer:

it is 4/5 I'm pretty sure

Answer:

The value of x equals 6

Answer: which question

Step-by-step explanation:

??????/

Answer:

B//////

Step-by-step explanation:

Answer:

x-5y

Step-by-step explanation:

Answer:

[tex]x-5y[/tex]

Step-by-step explanation:

[tex]6x-8y-5x+3y[/tex]

[tex]6x-5x-8y+3y[/tex]

[tex]x-5y[/tex]

Answer:25 2, 11 2,15 2

Step-by-step explanation:

Answer:

Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]

Option D is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]3x -2 < 4[/tex] and find value of x

Solving the inequality for finding value of x, we will keep x on left side of inequality and all other terms on the right side.

[tex]3x -2 < 4[/tex]

Adding 2 on both sides

[tex]3x -2+2 < 4+2\\3x < 6[/tex]

Now, we will divide 3 on both sides

[tex]\frac{3x}{3}<\frac{6}{3}\\x<2[/tex]

So, we get x < 2

Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]

Option D is correct option.

Answer:

change/original price X 100

22/88 X 100 = 25%

Answer:

1st one - 64 area ~~ 2nd one - 5.28

Step-by-step explanation:

1st one - 16 * 4 = 64

2nd one - 1.2 * 1.1 = 1.32 * .4 = 0.528 = 5.28

Answer:

Slope - intercept form

                           y = x - 4

Step-by-step explanation:

Explanation:-

Given standard form

                          3 x- 3y - 12 = 0

Slope - intercept form

                           y = m x + c

Given straight line

                         3 x- 3y - 12 = 0

                   ⇒   3 x - 3 y = 12

Dividing by '12' on both sides, we get

                   [tex]\frac{3x}{12}- \frac{3y}{12} = 1[/tex]

                    [tex]\frac{x}{4}- \frac{y}{4} = 1[/tex]

                     x - y = 4

Final answer:-

Slope - intercept form

                    y = x - 4

Step-by-step explanation:

C. I think the answer is C

Answer:

4

Step-by-step explanation:

choose a point, i used (0,1)

count rise over run to get to the next point

so (0,1)->(1,5) is rise 4 run 1 which makes the slope 4

Answer:

Step-by-step explanation:

divide >:)

Answer:

The one in the top right

Step-by-step explanation:

All of the points seem to match the line best, each of the other graphs vary more.

Answer:

if you want to check that you can just plug in 3(4) + 2(0) =12

but yeah it is a.

Answer:

13

Step-by-step explanation:

Answer:

31/34

Step-by-step explanation:

33 = 34x +2

31=34X

31/34 = x

Answer:

A.

D= 1 wy

5

D = 1 wy (cross multiplication)

1 5

wy= 5D ( cancel y to get w)

wy = 5D

y = y

w=5D

y

Perimeter = 8pi

Step-by-step explanation:

The Rim if the leaf like shape is actually the quarter fo a circle. and 8 is the radius. So to find the perimeter is diameter time pi so 16 x pi is 16pi. And because its only a quarter its 4pi. Also, because there is 2 ramps 4pi times 2 is 8pi. So the answer is 8 pi.