Find the value of x that makes ABCD a parallelogram.
D
C
150°
5x
150°
B
O A. 5
O B. 6
C, 30
D. 10

Answer:

There is no table, so I'll just calculate the theoretical.

125/5=25.

So, 20% to get a card with the number 3

Answer:

A

B

A

C

D

C

A

B

B

D

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

      We can use ratios / proportions to solve for x. I am going to have the shorter segment on the top of our fractions (the numerator), and the longer segments on the bottom (the denominator).

[tex]\frac{10}{10+12} =\frac{4x-5}{33}[/tex]

[tex]\frac{10}{22} =\frac{4x-5}{33}[/tex]

      Now I am going to cross multiply:

10 * 33 = 22(4x - 5)

330 = 88x - 110

440 = 88x

5  = x

x = 5

Answer:

[tex]52.8cm^{2}[/tex]

Step-by-step explanation:

Perimeter = 26.4 cm

Apothem = 4.0 cm

The area of an regular octagon can be defined as the [tex]\frac{perimeter*apothem}{2}[/tex]

when we plug in our values we get the equation [tex]\frac{26.4cm*4.0cm}{2}=52.8cm^{2}[/tex]

Answer:

$1.46

Step-by-step explanation:

We can use the principal of compound interest to solve this with the formula:

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

where P = initial principal

r = interest rate

n = number of times applied per time period

t = time periods elapsed

In this specific case, P = 0.55, r = 0.05, n = 1, and t =20

[tex]0.55(1+\frac{0.05}{1})^{1*20} = 0.55(1.05)^{20} = 0.55(2.65) = 1.46[/tex]

Answer:

0.324 inch

Step-by-step explanation:

When asked to write two hundred thousandths as a decimal, three students gave three different answers as shown below. so you have to find by decimals..

Answer:

x=5 or -7

step by step:

x2+2x−35=0

Step 1: Factor the left side of the equation.

(x−5)(x+7)=0

Step 2: Set factors equal to 0.

x−5=0 or x+7=0

x=5 or x=−7

Answer:

Your X value would equal to:
5 or -7




(images attached below show a step by step explanation)

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

45%

Step-by-step explanation:

Since he drove 54 miles out of 120 in the first hour, the equation for this would be 54/120×100. This equals 45 and that is the percentage

Answer:

17 meters

Step-by-step explanation:

|\ angle = 60 degrees here of triangle
|   \              <-- digitaly drawn triangle
|___\

cirlcle diameter is 60 meters, since pillar is at the center then the distance of the pillar to the edge of the circlular meadow is (60/2) 30 meters.

30 meters is opposite of the angle.

The height of the pillar is adjacent to the angle so use tangent to solve

Tan(60) = 30/x

Tan(60) = 1.7; make sure that calculator is in degrees and not in radians to not get an incorrect value

1.7 = 30/x --> 1.7x = 30

x = 30/1.7

x = 17.3205 meters

using 2 significant figures gives us 17 meters

Answer:

Q1-298

Q2-422

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

254.34 m²

Step-by-step explanation:

The formula used to find the area of a circle is π · r².
The radius of a circle is half of it's diameter.
Using the given values, we can solve:

3.14 · 9²

3.14 · 81

= 254.34 m²

hope this helps!

Answer:

Area = 254.469004940773 m²

Step-by-step explanation:

formula : (area of a circle)

Area = π × r²

where r is the radius of the circle

[tex]\large \text r = \frac{\large \text Diameter \ of \ the \ circle }{2} = \frac{18}{2} =9\ m[/tex]

then

Area = π × 9²

        = π × 81

        = 254.469004940773 m²

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

An equation is an expression that shows the relationship between two or more numbers and variables.

a) Volume of cylinder = π * radius² * height

461.58 = 3.14 * radius² * 3

radius = 7 in

b) Volume of cone = (1/3) * π * radius² * height

Volume = (1/3) * 3.14 * (12/2)² * 12

Volume = 452.2 unit³

c) Volume of sphere = (4/3) π * radius³

Volume of sphere = (4/3) * 3.14 * 7³

Volume = 1436 in³

d) Volume of sphere = (4/3) π * radius³

407.51 = (4/3) * 3.14 * radius³

Radius = 7.3

Diameter = 14.6 units

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

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Answer:

height = 5.33 m (nearest hundredth)

area of wall = 41.66 m² (nearest hundredth)

Step-by-step explanation:

To find the height of A above the ground, find the height of the triangle and add it to the height of the rectangle.

The dashes on the sides of the triangle mean they are equal in length. Therefore, this triangle is an isosceles.  If we draw a line down the center of the triangle to create 2 right triangles, their top angles will be 65° (half of 130°) and they will each have a base length of 5 m (see attached diagram).

To find the height, use the tan trig ratio:

[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\sf \implies tan(65)=\dfrac{5}{h}[/tex]

[tex]\sf \implies h=\dfrac{5}{tan(65)}[/tex]

[tex]\sf \implies h=2.331538291...[/tex]

Therefore, the height of A above the ground:

⇒ height = 3 + 2.331538191 = 5.33 m (nearest hundredth)

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

To find the area of the wall, sum the area of the rectangle and the area of the triangle.

Area of rectangle = width x height

                              = 3 x 10

                              = 30 m²

Area of triangle = 1/2 x base x height

                          = 1/2 x 10 x 2.331538191

                          = 11.65769145 m²

Total area of wall = 30 + 11.65769145 = 41.66 m² (nearest hundredth)

Answer: Which question I’ll do a

Step-by-step explanation:

Since it is turned into an 100 degree angle you do length times width and you will get your answer 90 degrees

Was this helpful

Answer:

Step-by-step explanation:

First a translation then a reflection.

Answer:

[tex]\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

Let's take a look at the unit circle below.

Remmeber that cos represents the x-value and that sin represents the y-value.

We see that:

[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]

Now we just multiply all the together and we get:

[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]

The constant rate = 20 ft / 5 seconds = 4 feet per second

Find the chart that shows an increase of 4 feet for every second the balloon travels.

The height of the balloon over time is modeled by the linear equation y = 4x, so, the accurate choice is option D.

A linear equation arises when multiple variables are connected, resulting in a linear model when graphed. This model is characterized by having a degree of one for each variable involved.

Imagine a hot air balloon taking off from the ground, ascending at a consistent speed. After 5 seconds, its altitude reaches 20 feet. The balloon maintains this rate of ascent.

The rate per second is calculated as follows:

m = 20/ 5

m = 4 ft/sec

Consequently, the equation is formulated as:

y = 4x

For x = 10 seconds, the corresponding y value will be:

y = 4 × 10

y = 40 ft

Similarly, for

x = 20 seconds:

y = 4 × 20

y = 80 ft

Hence, the linear equation representing the balloon's height over time is

y = 4x. The accurate option among the choices is D.

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Answer:

True

Step-by-step explanation:

For the sequence to be arithmetic there must be a common difference d between consecutive terms.

a₂ - a₁ = - 6 - 3 = - 9

a₃ - a₂ = - 15 - (- 6) = - 15 + 6 = - 9

a₄ - a₃ = - 24 - (- 15) = - 24 + 15 = - 9

There is a common diffence between consecutive terms, thus the sequence is arithmetic.

Answer:

  9 blocks

Step-by-step explanation:

The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.

  12 + more = 5 + 9 + 7

  more = 9 + 5 + 7 - 12 . . . . . subtract 12 from both sides

  more = 9

John must walk 9 blocks more.

_____

We recognize that 5+7 = 12, so that last part of the sum totals zero.

Answer:

A:) Yes it is a right triangle

Step-by-step explanation:

[tex]~~~~\left(\sqrt{5} \right)^2= \left(\sqrt{2} \right)^2+\left(\sqrt{3} \right)^2\\\\\implies 5=2+3\\\\\implies 5=5[/tex]

Answer:

A

Step-by-step explanation:

using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = [tex]\sqrt{5}[/tex] , and ([tex]\sqrt{5}[/tex] )² = 5

([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{3}[/tex] )² = 2 + 3 = 5

Thus the 3 sides form a triangle

The angle shown is less than 90 degrees so it is an acute angle.

answer: acute

[tex]\text{Given that,}\\\\A(x_1,y_1) = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units[/tex]

The 3 inside angles of a triangle need to equal 180.

X = 180 - 70 - 20 = 90

x = 90 degrees

Answer:

  $143.70

Step-by-step explanation:

The multiplier of value each week is (1 -8%) = 0.92. After 8 weeks, the original value will have been multiplied by 0.92^8.

__

The value of the shoes after 8 weeks is ...

  $280(0.92^8) ≈ $143.70

Answer:

600yan lang po thank you

Answer:

$574

Step-by-step explanation:

[tex]\begin{aligned}\text { week } 1=w_{1} &=300 \\w_{2} &=300+10=310 \\w_{3} &=310+10=320=300+2 \times(10)\end{aligned}[/tex]

It’s obvious here that we add 10 each time to get the next week’s payment so we Are dealing an arithmetic sequence where its first term is 300 and its

Common difference is 10

Then In the twentieth week the payment will be :

[tex]\begin{aligned}W_{20} &=w_{1}+(20-1) \times(10) \\&=300+19 \times(10) \\&=490\end{aligned}[/tex]

Now we apply the formula for the sum of Consecutives terms of an arithmetic sequence :

[tex]\begin{aligned}S_{1} &=20 \times\left(\frac{w_{1}+w_{20}}{2}\right) \\&=20 \times\left(\frac{300+490}{2}\right) \\&=7900\end{aligned}[/tex]

Now let move on to Job B:

[tex]\\\\\begin{aligned}\text { month1 }=& m_{1}=1200 \\m_{2} &=1200+1200 \times \frac{10}{100}=1200 \times(1,1)=1320 \\m_{3} &=m_{2} \times(1,1)=\left[m_{1} \times(1,1)\right] \times(1,1)=m_{1} \times(1,1)^{2} \\m_{4} &=m_{1} \times(1,1)^{3} \\m_{5} &=m_{1} \times(1,1)^{4}\end{aligned}[/tex]

It’s obvious here that we multiply by (1.1) each time to get the next month’s payment so we Are dealing a geometric sequence where its first term is 1200 and its Common ratio is 1.1

Now we apply the formula for the sum of Consecutives terms of an geometric sequence :

[tex]\begin{array}{l}S_{2}=m_{1} \times\left(\frac{1-1,1^{5}}{1-1,1}\right) \\\approx 7326\end{array}[/tex]

Finally we can say confidently say that he would earn more :

7900 - 7326 = $574.

Answer:

It's 3.5

(from the answer 3.464101615)

Hope this helps!

Hey there!

y = 74 - 7

START at 74 and go back 7 spaces to your left and you should be left on your result of the y-value

y = 67

Therefore, your answer is: y = 67

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

u cant find the area if you dont add a picture or say if the cm is the width or the lenth.

L BOZO

Step-by-step explanation:

Answer:

PLEASE ADD PICTURE OR NOT ANSWER!

Step-by-step explanation:

We don’t know the problem. Pls apply it.

Answer:

there are none (sorry if I got it wrong)

Step-by-step explanation:

also, there is none  because there other numbers are really close to the other number

outliers are a number that is really small in the pack of numbers and outliers can also be the number that is really big for example I have the numbers 3 24 28 32 43 and then 100. 3 and 100 are outliers because one number (3) is really small from the other numbers are bigger and one number (100) is really big from the other number but sometimes there are no outliers