What is the measure of angle DEA

Answer:

x = 3

Step-by-step explanation:

Given

4 - [tex]\frac{6}{9}[/tex] = [tex]\frac{1}{3}[/tex] + x ( multiply through by 9 to clear the fractions )

36 - 6 = 3 + 9x

30 = 3 + 9x ( subtract 3 from both sides )

27 = 9x ( divide both sides by 9 )

3 = x

Answer:

9.09%

Step-by-step explanation:

Area of a rectangle = length x breadth

to determine the answer, i would use an example

Assume length = 10

breadth 20

Area = 10 x 20 = 200

If the length is increased by 10%, the new length becomes = 1.1 x 10 = 11

11 x b = 200

b = 200/11 = 18.181818

Percentage reduction = (18.181818 / 20) - 1 = 0.0909 = 9.09%

Answer:

#1: 751.56 mm²

#2: 477 km²

Step-by-step explanation:

First I noted the semicircle on the left, which has a radius of 12.5 mm. The formula for finding the area of a semicircle is 1/2(πr²).

1/2(3.14 * (12.5)²)

12.5 squared is 156.25.

1/2(3.14 * 156.25)

Multiply 3.14 by 156.25 to get 490.625.

1/2(490.625)

Divide 490.625 by 2 to get 245.3125.

245.3125 mm² for the semicircle

Then, I split the rest of into a 12.5 by 25 rectangle and a 31 by 12.5 triangle.

(12.5 * 25) + 1/2(31 * 12.5)

Multiply 12.5 by 25 to get 312.5.

312.5 + 1/2(31 * 12.5)

Multiply 31 by 12.5 to get 387.5.

312.5 + 1/2(387.5)

Multiply 1/2 by 387.5 to get 193.75

312.5 + 193.75

Add 312.5 and 193.75 to get 506.25.

506.25 mm² for the rest of the figure.

Now add the two measures, and you have your answer for #1.

245.3125 + 506.25 = 751.5625 mm², which rounds to 751.56 mm².

The area of the composite figure is 751.56 mm².

Now for #2. First, find the area of the triangle.

1/2(40 * 27)

Multiply 40 by 27 to get 1080.

1/2(1080)

Multiply 1/2 by 1080.

590 km² for the triangle.

Now find the area of the circle.

3.14 * 6²

3.14 * 36

113.04 km² for the circle.

Now subtract the area of the circle from the area of the triangle.

590 - 113.04

476.96 km², which rounds to 477.0 km².

The area of the shaded region is 477 km².

Answer:

Step-by-step explanation:

#1

We can separate the figure into 3 parts and sum the areas.

Semicircle with radius 12.5 mm:

Rectangle with sides 12.5 mm and its double size:

Triangle with height 12.5 mm and base 30 mm:

Sum of the three:

#2

The shaded region is the difference of the areas of the triangle and the circle

Triangle:

Circle:

Shaded region:

Answer:

A) up 5 units

Step-by-step explanation:

Given

See attachment for grid

Required

Which places ABCD in a quadrant

Considering vertical movements

From the x-axis, the distance between each point and the line of the x-axis is (the y coordinates):

[tex]A = -4[/tex]

[tex]B =3[/tex]

[tex]C = 7[/tex]

[tex]D = -2[/tex]

Considering the highest magnitudes in the positive and negative column, we have:

[tex]A = -4[/tex] and [tex]C = 7[/tex]

[tex]A = -4[/tex] means that a upward movement by (4 + 1) units will move ABCD completely in a quadrant;

[tex]4 + 1 = 5[/tex]

Hence, 5 units upward -- This represents option (a)

[tex]C = 7[/tex] means that a downward movement by (7 + 1) units will move ABCD completely in a quadrant

[tex]7 + 1 = 8[/tex]

Hence, 8 units downward

Consider horizontal movements

From the y-axis, the distance between each point and the line of the x-axis is (the x coordinates):

[tex]A = -8[/tex]

[tex]B = -6[/tex]

[tex]C = -3[/tex]

[tex]D =-2[/tex]

Considering the highest magnitudes in the positive and negative column, we have:

[tex]A = -8[/tex]

[tex]A = -8[/tex] means that a left movement by (8 + 1) units will move ABCD completely in a quadrant;

[tex]8 +1 = 9[/tex]

Hence, 9 units upward

(a) answers the question

Answer:

C) 50

Step-by-step explanation:

One leg is 30, the other is 40, and the hypotenuse is 50

Please brainliest!

Answer:

A. -6;1

Step-by-step explanation:

h(x) = x² + 5x - 6

D=25+24=49=7²

[tex]x_{1} =\frac{-5-7}{2}=-6\\[/tex]

[tex]x_{2} =\frac{-5+7}{2}=1[/tex]

Answer:

75.39 in^2

Step-by-step explanation:

circumference=2πr

30.8=2(3.14)r

30.8=6.28r

4.9=r

Now that we know the radius, we can plug it in for the area equation

area=πr^2

area=(3.14)(4.9)^2

area=(3.14)(24.01)

area=75.39 in^2

Answer:

DEF is acute (smaller than 90°...small = “cute” is what I tell my kids)

Triangle is equilateral

equi = equal

Lateral = sides

Answer:

D.

Step-by-step explanation:

Answer:

229$

Step-by-step explanation:

i did the math hope it helps please mark me brainist

Answer: 16

Step-by-step explanation:

12+4= 16

Step-by-step explanation:

22+2x+8= x+20

2x+30=x+20

x+30=20

x=-10

answer is -10

Answer:

The value of x = 36°, while the value of y = 72°.

Step-by-step explanation:

All of these angles add up to 360°.

Opposite angles are always equivalent, so the angle opposing x would be 36°, which means x = 36°.

360 - 2(36) = 288

288/4= 72

To check:

(72 * 4) + 2(36) = 360

Answer:

One can be 95% confident that the drive-through service times of​ fast-food chain is between 169 seconds and 172 seconds.

Step-by-step explanation:

The confidence interval gives a range of value for the population mean or parameter, which is calculated from the statistic value of the data (that is sample statistic). This range gives the interval which is associated with a certain level of confidence for which the interval will contain the true value of the unknown parameter (true value). In the scenario above, the associated confidence level is 95%.Hence, we can be 95% confident that the true value will be continued with the interval (169 ; 172)

Answer:

358,002,479

Step-by-step explanation:

This is what it is.

Answer: 358,002,479

Step-by-step explanation:

First, you have 358 million, or 358,000,000.

Next, you have 2,000. You can add that to 358,000,000 and you get 358,002,000.

Finally, you have 479. You can add that to 358,002,000, and get 358,002,479.

Here's a visual representation:

  358,000,000

              2,000

+                 479

  358,002,479

Answer:

17. See below

18. 750

Step-by-step explanation:

17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.

18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:

[tex]y=0.5x+125[/tex]

Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:

[tex]500=0.5x+125[/tex]

[tex]500-125=0.5x[/tex]

[tex]375=0.5x[/tex]

[tex]\frac{375}{0.5} =x[/tex]

[tex]375*2=x[/tex]

[tex]750=x[/tex]

Thus, 750 lollipops must be sold.

9514 1404 393

Answer:

  2n/2^n

Step-by-step explanation:

It appears that the terms are ...

  [tex]\dfrac{1}{1},\ \dfrac{2}{2},\ \dfrac{3}{4},\ \dfrac{4}{8},\ \dots[/tex]

That is, the numerator is counting numbers, and the denominator is powers of 2.

  [tex]f[n]=\dfrac{n}{2^{(n-1)}}\quad\text{or}\quad f[n]=2n\cdot2^{-n}[/tex]

Answer:

Los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

Step-by-step explanation:

Un triángulo rectángulo puede ser descrito mediante el teorema de Pitágoras, para el caso de tres lados representando tres números enteros consecutivos, tenemos que:

[tex](n+2)^{2} = n^{2} + (n+1)^{2}[/tex] (1)

Donde [tex]n[/tex] es un número natural.

A continuación, expandimos la expresión y resolvemos:

[tex]n^{2}+4\cdot n +4 = n^{2} + n^{2} +2\cdot n + 1[/tex]

[tex]n^{2}-2\cdot n -3 = 0[/tex]

[tex](n -3) \cdot (n+1) = 0[/tex]

La única solución factible es [tex]n = 3[/tex]. En consecuencia, los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

Answer:

There are two roots:  -3 and 3

Step-by-step explanation:

Combine the like terms first.  We get u^2 = 9.

There are two roots:  -3 and 3.

Answer:

the solution to the system of equations is (8,10).

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, - 42 ) and (x₂, y₂ ) = (- 3, - 17 ) ← 2 ordered pairs from the table

m = [tex]\frac{-17-(-42)}{-3-(-8)}[/tex] = [tex]\frac{-17+42}{-3+8}[/tex] = [tex]\frac{25}{5}[/tex] = 5

The line crosses the y- intercept at (0, - 2 ) , then

y = 5x - 2 → C

Answer:

C. y=5x-2

Step-by-step explanation:

Put the numbers in the x column in the x of the equation and do the same for y. Solve, and if both sides are equal, the equation is correct.

You can use any set of x and y and try each equation till you find the right one. (0,-2) would be the easiest, because you can just make x=0, but you have to test the correct equations again with a different set after. {I used (-8,-42).}

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

The answer would be: 8/9

:)

Answer:

[tex]V=bh_{2}[/tex]

For this one it’s 3/4. (Positive since it’s going up and you can’t simplify it anymore).

Answer:

8 units

Step-by-step explanation:

distance= sqrt((x2-x1)^2+(y2-y1)^2))

sqrt((5-(-3))^2+(4-4)^2))

sqrt(5+3)^2+(4-4)^2)

sqrt(8^2+(4-4)^2)

sqrt(64+(4-4)^2)

sqrt(64+0^2)

sqrt(64+0)

sqrt(64)

sqrt(8^2)

8

Answer:

y=-0.5x+8

Step-by-step explanation:

stat, or just rise over run

Answer:

3

Step-by-step explanation:

3 is the A value.