A triangular pyramid has an equilateral triangle for the base with a base of 3m and a height of 2m. The height of the pyramid is 18 meters. The slant height is 3.5 m. What is the lateral area of the pyramid?
A.15.75 meters
B.162 meters
C.81 meters
D.31.5 meters

Answer:

Rough guide: doubling time in years is 72/interest rate in per cent. 72/6 is 12 so it doubles every 12 years, so in 36 years it will double 3 times.

A=300(1+.06)^36 is the formula. Without rounding, A=$2444.18. That is doubling 3 times or increasing 8 fold (and a little more)

Step-by-step explanation:

Hope this helps. Stay healthy. No corona. Take Care

At the agre of 28 he had invested A=$2444.18.

The doubling time in years is 72/interest rate in per cent.

72/6 is 12 so it doubles every 12 years,

So, in 36 years it will double 3 times.

The formula of investment is

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

[tex]A=300(1+.06)^{36}[/tex]

Without rounding, We get,

A=$2444.18.

That is doubling 3 times or increasing 8 fold.

Therefore at the age of 28 he had invested A=$2444.18.

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Answer:

-38

Step-by-step explanation:

Subtract  42  from  4 . Since 42 is negative so will the answer

Answer:

The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).

Option B = -3 is correct.

Hope this helps!

:)

The y intercept value is option (B) -3

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis

Given

x intercept value = -4

From the graph we can say that y intercept value = -3

The y-intercept is the point where the line crosses the y-axis that is -3

Hence, the y intercept value is option (B) -3

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Answer:

62.4

Step-by-step explanation:

Volume=L*w*h/3

V=5.2*4*9=187.2

187.2/3-62.4

Answer:

The volume of pyramid is

V = Base area x Height x 1/3

  = (5.2 x 4) x 9 x 1/3 = 62.4 (cm3)

Hope this helps!

:)

Answer:

1.)

A=3

B=-6

2.)

1

3.)

(1,10)

Answer:

1.  Identify the values of a and b.            

a =  

✔ 3

and b =

✔ –6

2.   Find the x-coordinate of the vertex.

negative StartFraction b Over 2 a EndFraction  =

✔ 1

3.  Find the y-coordinate by evaluating the function at the x-value found in the previous step.

The vertex is

✔ (1, 10)

Answer: 1.72 kilograms

Step-by-step explanation:

From the question, Ricardo is making a container of trail mix with 3.5 kilograms of nuts and he has 1.78 kilograms of almonds while the remaining of the nuts will be cashews.

To get the kilograms of cashews nuts that are needed, we subtract the kilograms of almonds from the total container. This will be:

= 3.5 kg - 1.78 kg

= 1. 72 kg

Answer: 15

Step-by-step explanation:

Just count the dots :)

Answer:

y= 125x + 5o

Step-by-step explanation:

Since the constant is 125 we add the x to show each broom he makes. The one time fee is not a constant so therefore it will only be added once.

Answer:

f(x)=125g+50

Step-by-step explanation:

He is charging $125 for each gold piece so you would multiply “g” and 125.

You would add 50 as a one time fee so you add 50.

Answer: x = 1

Step-by-step explanation:

we have

x tetras

3 goldfish

5 platies.

the total number of fishh in the bowl is x + 3 + 5

The probability of removing a gold fish is equal to the number of gold fish divided by the total number of fish, this is:

p = 3/(x + 3 + 5) = 1/3

3 = (1/3)(x + 3 + 5) = x/3 + 1 + 5/3

9 = x + 3 + 5

x = 9 - 8 = 1

then wemust have that x = 1

because 1 + 3 + 5 = 9

and 3/9 = 1/3

Answer:

no

Step-by-step explanation:

a^2+b^2 = c^2

Answer:

(8.6)

Step-by-step explanation:

To find the x coordinate of the midpoint, find the average of the x coordinates

(x1+x2)/2  = (6+10)/2 = 16/2 = 8

To find the y coordinate of the midpoint, find the average of the y coordinates

(y1+y2)/2  = (8+4)/2 = 12/2 = 6

Answer:

(8,6)

Well my explanation might be weird...so I won't explain it but I'm pretty sure I got the correct answer:>

Answer:

0.7241

Step-by-step explanation:

sin = [tex]\frac{opposite}{hypotenuse}[/tex]

In this case we have the hypotenuse (2.9) but not the opposite so here is how you calculate it

[tex]a^{2}+b^{2}= c^{2} \\\\2^{2}+ b^{2}= 2.9^{2} \\4+ b^{2} = 8.41\\\\\sqrt{b^{2} }= \sqrt{4.41} \\b= 2.1[/tex]

So now you have the opposite (2.1)

so now you would divide [tex]\frac{2.1}{2.9} or 0.7241[/tex]

Answer:

[tex] \sin X = 0.7241 [/tex]

Step-by-step explanation:

For angle X, 2.0 ft is the adjacent leg. 2.9 ft is the hypotenuse.

The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

[tex] \cos X = \dfrac{adj}{opp} [/tex]

[tex] \cos X = \dfrac{2.0}{2.9} [/tex]

[tex] \cos X = 0.689655 [/tex]

Since we now know the value of cos X, we can find the value of sin X by using the trig identity

[tex] \sin^2 X + \cos^2 X = 1 [/tex]

[tex] \sin^2 X + (0.689655)^2 = 1 [/tex]

[tex] \sin^2 X = 0.524376 [/tex]

[tex] \sin X = 0.7241 [/tex]

Answer:

32.98 ft

Step-by-step explanation:

What you have right there is a triangle.

The base of the triangle is given (14 ft)

The angle from the ladder makes while leaning on the house is 67 degrees.

This is a simple trigonometry problem

You want to find the length of the ladder and you don't have the hypotenuse

So you can use the function tan to find it.

tan(Ф) = opposite/adjacent

You are looking for the opposite side length

So you do tan(Ф) * adjacent = opposite

tan(67) * 14 = 32.98 ft

Answer:

85.375%

Step-by-step explanation:

We would be using the z-score formula which is

z = (x-μ)/σ, where

x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

In the question, we are given:

x is the raw score = 47

μ is the population mean = Mean score = 43

σ is the population standard deviation = 3.8

z = (x-μ)/σ

z = (47- 43)/ 3.8

z = 4/3.8

z = 1.0526315789

The z score = 1.0526315789

Checking my z score on my normal distribution table,

The percentage of test takers that scored lower than you =

[1 - P(x>Z)] × 100

= ( 1 - 0.14625) × 100

= 0.85375 × 100

= 85.375%

Therefore, the percentage of test takers that scored lower than you is 85.375%

Answer:

D. the subtraction property of equality was not applied.

Step-by-step explanation:

Step 1: Listed the statement

Step 2: applied the addition property of equality

Step 3: Simplified

Step 4: Applied the multiplication property of equality

Step 5: Simplified

~

Answer:

The correct option is (D).

Step-by-step explanation:

The boxplot is a consistent way to exhibit the data-distribution based on, minimum, first quartile, median, third quartile and maximum.  

Therefore we can say it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.

The methods commonly used for depicting a frequency distribution are:

Out of these, one of the most general and extensively used devices of illustrating a frequency distribution is the histogram.

In this case it is provided that Anne wants the display of prizes to show how many homes are available for home buyers with various  budgets.

So, Anne can set range of budget values and assign the number of buyers with various  budgets.

From the provided data the range of budget values can be set as:

Less than $50,000

$50,000 - $100,000

$100,000 - $150,000

$150,000 - $200,000

$200,000 - $250,000

$250,000 - $300,000

$300,000 - $350,000

Thus, the histogram data display is best for Anne's purpose.

The correct option is (D).

This question is based on the concept of statistics. Therefore, the histogram data display is best for Anne's purpose. Hence, the correct option is D, histogram.

Given:

Anne wants to create a data display to summarize prices of the 264 homes for sale in her  area. A sample of the data is shown below.

$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000.

According to the question,

As we know that, the boxplot is consistent way to exhibit the data distribution based on the minimum, first quartile, median, third quartile and maximum.  

Therefore, it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.

The following methods commonly used for depicting a frequency distribution are:

Out of these, one of the most extensively used devices of illustrating a frequency distribution is the histogram.

In this question it is provided that, Anne wants the display of prizes to show how many homes are available for home buyers with various  budgets.

Thus, Anne can set range of budget values and assign the number of buyers with various budgets.

From the given data the range of budget values can be written as:

Less than $50,000

$50,000 - $100,000  

$100,000 - $150,000

$150,000 - $200,000

$200,000 - $250,000

$250,000 - $300,000

$300,000 - $350,000

Therefore, the data display is best for Anne's purpose. Hence the correct option is D, histogram.

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Answer:

x = 1

y = -1

z = 2

Step-by-step explanation:

You have the following system of equations:

[tex]x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)[/tex]

First, you can subtract euqation (3) to equation (1):

x + 2y - z = -3

-x +y  -z = - 4

0   3y  -2z = -7    (4)

Next, you can multiply equation (3) by 2 and subtract it to equation (2):

2[ x -y + z = 4]

-2x +y -z = -5

  0 -y + z= 3     (5)

You multiply equation (5) by 2 and sum (5) with (4):

2[ -y  + z = 3]

   3y  -2z= -7

  y  + 0 = -1

Then y = -1

Next, you replace y=-1 in (5) to obtain z:

-(-1) + z = 3

z = 2

Finally, you can replace z and y in the equation (3) to obtain x:

x - (-1) + (2) = 4

x = 1

Answer: x=1 y=-1 z=2

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

8.

We have to use the law of cosines to find AB

c^2 = a^2 + b^2 − 2ab cos(C)

AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)

AB^2 =196 +576 - 672 cos(91)

AB^2 =783.7280171

Taking the square root of each side

AB =27.99514

Rounding to the nearest tenth

AB = 28

(If the lengths are supposed to have the variable A)

AB = 28A

9.

Using the law of sines

sin 84              sin A

--------------  = -------------

22                     9

Using cross products

9 sin 84 = 22 sin A

Divide each side by 22

9 sin 84 /22 = sin A

.406849866 = sin A

Taking the inverse sin of each side

24.00710132 = A

To the nearest tenth

A = 24

Answer:

AB = 28 ft; m<A = 24 deg

Step-by-step explanation:

8.

Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.

[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]

[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]

[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]

[tex] c = \sqrt{783.73~ft^2} [/tex]

[tex] c = 27.995~ft [/tex]

AB = c = 28 ft

9.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = 0.40685 [/tex]

[tex] A = \sin^{-1} 0.40685 [/tex]

[tex] A = 24^\circ [/tex]

Answer:

what do you need help with?

Step-by-step explanation:

Answer:

8ft. x 16ft.

Step-by-step explanation:

If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.

Answer:

-1 and 3 should be right

Answer:

3

Step-by-step explanation:

Whole numbers are non-negative integers

A whole number can be 0 or positive with decimal/fraction part

Answer:

x=-1

Step-by-step explanation:

just like 8/8 is 1 the same concept only you add a negative

Answer:

x = -64

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 8 to both sides:

(x/8)8 = (-8)8

x = -8 * 8

x = -64

-64 is your solution for x.

~

Answer:

(if its a true or false question) True

Step-by-step explanation:

We know-

Area of a circle =

A=(π)r2

Circumference of a circle =

C=2(π)r

Where pi is a constant and r is the radius of the circle.

Using these two formulas we can express A in terms of C as follows:

c2=[2(π)r]2

⇒ c2=4[(π)2]r2 ⇒ c2=4(π)[(π)r2]

As (π)r2=A ⇒c2=4(π)A

Therefore:

A=c2/4(π)

Answer:

the answer is b

Step-by-step explanation:

....

Answer:

let's choose

5x+3x-7y+2x-16y+3+-5y

1) give values to our variables:

x=3

y=4

so

5(3)+3(3)-7(4)+2(3)-16(4)+3-5(4)

15+9-28+6-64+3-20

1) first take this step-by-step and solve each term from left-right

15+9=24

24-28=-4

-4+6=2

2-64=-62

-62+3=-59

-59-20=-79

-79 is the answer

Answer: help me with my questions

Step-by-step explanation:

Click on my profile answer my question and get branliest

Answer:

The constant is 5 and the coefficient is 3.

Step-by-step explanation:

The constant is something that does not change, which would be 5 because it stays 5 no matter what.

The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.

I hope this helps! :)

Answer:

32

Step-by-step explanation:

The horizontal line (5+3) is 8m

and the vertical line (4+4) is also 8m

multiply together 64 (8 x 8)

then divided it by 2 (64/2)

32

Answer:=40m

Step-by-step explanation: 36m+3m+5m

Answer:

540m

Step-by-step explanation:

Answer:

the volume is V≈2.77 cm³

Step-by-step explanation:

surface area= 17 cm

height= 10 cm

volume≈2.77 cm³