Use the net to find the size of the base and the height of each triangular face of this square pyramid. Enter your answers in the boxes.

Answer:

m<N = 32°

m(NQ) = 106°

Step-by-step explanation:

Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)

<N is an inscribed angle

It's intercepted arc = arc MP = 64°

Therefore,

m<N = ½(64°)

m<N = 32°

m<P = ½(m(NQ)) (inscribed angle theorem)

53° = ½(m(NQ))

Multiply both sides by 2

2*53° = m(NQ)

106° = m(NQ)

m(NQ) = 106°

Answer:

3.

Step-by-step explanation:

X+2=-1/4(4x-8)

x+2=-x+2

0=0

Answer:

1 and 0

Step-by-step explanation:

Let's call the smaller number x and the larger number y.

This means 5y+2x=5.

Also, 4y-x=4.

This is a system of equations. There are two main ways two solve this.

Method 1: Substitution

5y+2x=5

4y-x=4

Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.

I will take 4y-x=4 and solve for x.

4y=4+x

x=4y-4

Then substitute for x in the other equation and solve for y.

5y+2x=5

5y+2(4y-4)=5

5y+8y-8=5

13y=13

y=1

Now we can go back to our equation for x and substitute for y.

x=4y-4

x=4(1)-4=0

y, the larger number, is 1 and

x, the smaller number, is 0

Method 2: Elimination

5y+2x=5

4y-x=4

Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.

If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.

4y-x=4

becomes

8y-2x=8

Now we have 5y+2x=5 and 8y-2x=8.

Add the sides of both equations to cancel the x values.

5y+2x+8y-2x=5+8

13y=13

y=1

like last time, we can substitute for y in any of the original equations to get x.

5y+2x=5

5(1)+2x=5

5+2x=5

2x=0

x=0

y, the larger number, is 1 and

x, the smaller number, is 0

Answer:

Solution given:Angle JKL and angle MKQ are complementary angles. The measure of angle JKL is twice the measure of angle MKQ

<JKL=2<MKQ

we have

<JKl+<MKQ=90°[complementary]

2<MKQ+<MKQ=90°

3<MKQ=90°

<MKQ=90°/3=30°

and <JkL=2×<MKQ=2×30°=60°

Answer:

38

Step-by-step explanation:

➜78-[5+3×(25-20)]

➜78-[8(5)]

➜78-40

➜38

Answer:

124°

Step-by-step explanation:

measure of arc DC = 44 because the measure of central angle equals the measure of its arc.

measure of arc CB = 80 because the measure of central angle equals the measure of its arc.

measure of arc DC = measure of arc DC + measure of arc CB

                                = 44 + 80 = 124°

Answer:

a) I donot agree with him because as we see the sequence nicely we will find an interval of 8 between any two terms and 32 and 33 don't match them

Step-by-step explanation:

b) and c) Solution:

Given,

First term (a) = 4

Common difference (d) = 12-4 = 8

Now,

Since, they are in A.P.

nth term = a + (n-1)d

              = 4 + 8(n-1)

              = 4 + 8n-8

              = 8n-4

Again,

1st method for c)

100th term = a + 99d = 4 + 99*8 = 4 + 792 = 796

200th term = a + 199d = 4 + 199*8 = 4 + 1592 = 1596

2nd method for c)

100th term = 8*100 - 4 = 800 - 4 = 796

200th term = 8*200 - 4 = 1600 - 4 = 1596

Answer:

lines that will never touch

Step-by-step explanation:

these are lines that you could keep drawing and they will never cross or touch

Answer:

-3.3125[tex]\frac{-10.125-(-3.5)}{4-2} =\frac{-6.625}{2} = -3.3125[/tex]

Step-by-step explanation:

Average rate of change is the slope between two points.

Slope getween points  [tex]\left(x_1,\,y_1\right)[/tex]  and  [tex]\left(x_2,\,y_2\right)[/tex]  is  [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

Using the points (2, -3.5) and (4, -10.125), the slope is

Answer:3/10 or 0.3

Step-by-step explanation:

y2-y1/

x2-x1

12-9/6--4

3/10

or 0.3

slope=3/10 or 0.3

Answer:

1st answer i think

Step-by-step explanation:

Answer:

100÷(20÷5)

Step-by-step explanation:

first find out how many chairs each worker made

20÷5=4

then divide 100 by 4 and that will give you 25

they would need 25 workers the equation that they should use is

100÷(20÷5)

Answer:

Step-by-step explanation:

Question 3 Reflects over x acis

Question 5 reflects over y axis

Answer:

i think 3 is reflected across the x and 5 is reflected across the y axis

Answer:

Option A, 4X + 40 expression is equivalent to the expression for the perimeter of the larger garden

Step-by-step explanation:

The complete question is

A garden is 15 feet long by 5 feet wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger garden: (x+15)+(x+5)+(x+15)+(x+5). Which expression is equivalent to the expression for the perimeter of the larger garden? Select all that apply.

Solution

The expression for the perimeter of the larger garden: [tex](x+15)+(x+5)+(x+15)+(x+5)[/tex]

If the given expression is expanded and solved, we get the following

[tex](x+15)+(x+5)+(x+15)+(x+5)\\X+X+X+X + 15+15+5+5\\2X+2X+30+10\\4X +40[/tex]

Hence, option A is correct

Answer:

The total weight of the grass seed is [tex]\frac{33}{8}[/tex] pounds

Step-by-step explanation:

Given

Total bags of seeds [tex]= 5\frac{1}{2}[/tex]

Weight of each bag [tex]= \frac{3}{4}[/tex] Pounds

Total weight of the grass seed  = Total number of bags of seeds * Weight of each bag

Total weight of the grass seed  =

[tex]5\frac{1}{2} *\frac{3}{4} \\=\frac{11}{2}*\frac{3}{4}\\=\frac{33}{8}[/tex]Pounds

The total weight of the grass seed is [tex]\frac{33}{8}[/tex] pounds

Answer:

33/8= 4 1/8 so its B.

Step-by-step explanation:

Answer:

Below, and I hope that this helps you.

Step-by-step explanation:

So you see that it says Find the probability that the sum on the two dice is 4 given that the sum is even. So that means that it would be 2 dices that have rolled a 4 and the equation would be 2×4= 8, So that means that you want to write the answer which is 8 in a fraction, and 8 in a fraction is 8/1

Answer

The answer is 16/3

Step-by-step-explain

F(x) = ⅓ • 4ˣ, F(2)

F(2) = ⅓ • 4²

F(2) = ⅓ • 16

F(2) = 16/3

Thus, The answer is 16/3

-TheUnknownScientist

Answer:

Step-by-step explanation:

16/3

I hope it's helpful

Answer:

4 CUPS OF MILK

Step-by-step explanation:

2 cups of milk=8 PANCAKES

2       X

8       16

16X2=32

32/8= 4

Answer:

14

Step-by-step explanation:

42=3p

42/3=3p/3

14=p

Answer:

18 days later.

Step-by-step explanation:

Rick would have gone to the supermarket twice, and Natalie would have gone three times.

Answer:

C

Step-by-step explanation:

i am smart

Answer:

6

Step-by-step explanation:

Answer:

I think B .......................................

Answer:

$45

y = 45x + 15

Step-by-step explanation:

Given :

Days Total Cost

(d) (C)

2. $105

4 $195

6 $285

10 $465

The daily rate is the slope :

Slope = Rise / Run

Slope = (y2 - y1) / (x2 - x1)

Slope = (465 - 105) / (10 - 2)

Slope = 360 / 8

Slope = 45

Daily rate = $45

Using the slope intercept relation :

y = mx + c

m = slope, c = intercept

105 = 45x + c

105 = 45(2) + c

105 = 90 + c

105 - 90 = c

15 = c

Pricing plan :

y = 45x + 15

Answer is 45 because if you divide 90/2 it equal 45

C=45d+15

In the image provided by you, it is asked that, what percentage of the individuals rode the Ferris Wheel and not the roller coaster?

Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =[tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]

Substituting the values given in the formula, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{28 }{112} [/tex]

Calculating further, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} [/tex]

Now, to convert any fraction into percentage, We multiply it by 100, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} \times 100 [/tex]

Calculating further, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \bf 25\% [/tex]

Answer:

[tex](a)\ t = -2.146[/tex]

The null hypothesis is rejected

[tex](b)\ t = 2.014[/tex]

The null hypothesis is accepted

[tex](c)\ t = 2.128[/tex]

The null hypothesis is accepted

[tex](d)\ t = -2.146[/tex]

The null hypothesis is rejected

Step-by-step explanation:

Given

[Missing from the question]

[tex]\alpha = -1.001[/tex] --- critical value

Left tailed test

Required

State what the standardized test statistics indicates

Since it is a left-tailed test, the null hypothesis will be rejected if the standardized test statistics less than or equal to the critical value

Using the above rule, we have:

[tex](a)\ t = -2.146[/tex]

Compare t and [tex]\alpha[/tex]

[tex]-2.146 < -1.001[/tex]

The null hypothesis is rejected

[tex](b)\ t = 2.014[/tex]

Compare t and [tex]\alpha[/tex]

[tex]2.014> -1.001[/tex]

The null hypothesis is accepted

[tex](c)\ t = 2.128[/tex]

Compare t and [tex]\alpha[/tex]

[tex]2.128> -1.001[/tex]

The null hypothesis is accepted

[tex](d)\ t = -2.146[/tex]

Compare t and [tex]\alpha[/tex]

[tex]-2.146 < -1.001[/tex]

The null hypothesis is rejected

Answer:

1)  -311

2)  26 p^6 h^4

3) 18 x^2 y^5 z^7

4)  -20 c^4  

is correct answer.

i guess you dont know this '' ^ '' . this mean take that number in power,

All the best

Step-by-step explanation: