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3 years ago

Find the total area for the regular pyramid. T. A. =

Mathematics

2 answers:

Allisa [31]3 years ago

7 0

The total area is:
A = Ab + Al
Where,
Ab: base area
Al: lateral area
We have then:
For the base area:
Ab = (2) * (2)
Ab = 4 units ^ 2
For the lateral area:
Al = (4) * (1/2) * (2) * (root ((1) ^ 2 + (3) ^ 2))
Al = (4) * (root (1 + 9))
Al = 4raiz (10) units ^ 2
Total area:
A = 4 + 4raiz (10)
Answer:
A = 4 + 4raiz (10)

Zepler [3.9K]3 years ago

7 0

The answer to this is: A = 4 + 4raiz (10)

Formula: A = Ab + Al Where, Ab= base area A= lateral area

For the base area: Ab = (2) * (2) Ab = 4 units ^ 2

For the lateral area: Al = (4) * (1/2) * (2) * (root ((1) ^ 2 + (3) ^ 2)) Al = (4) * (root (1 + 9)) Al = 4raiz (10) units ^ 2

Total area: A = 4 + 4raiz (10)

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Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h

Vesnalui [34]

Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment. This can be obtained by using percentage formula.

<h3>How much have they saved?</h3>

The percentage of a number can be obtained using percentage formula,

If P% of X is Y then it can be denoted using the formula of percentage as,

⇒ P% of X = Y

⇒ P% × X = Y (where P% is P/100)

Here in the question it is given that,

Mr. and Mrs. Lorenzo want to buy a home valued at $213,500

They have 18% of this amount saved for a down payment

We have to find the amount they saved for the down payment.

Given that the total amount = $213,500

Percentage they are saving = 18%

The amount they saved for the down payment,

18% of the total amount = 18% of $213,500

Using the percentage formula we get,

18% of $213,500 = 18% × $213,500

18% of $213,500 = 18/100 × $213,500

18% of $213,500 = $ 38,430.00

Hence Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment.

Learn more about percentages here:

brainly.com/question/14366896

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3 0

2 years ago

Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a s

Lilit [14]

Answer:

$y-2=\displaystyle -\frac{3}{4}(x-1)$

$y=\displaystyle -\frac{3}{4}x+\frac{11}{4}$

Step-by-step explanation:

Hi there!

Point-slope form: $y-y_1=m(x-x_1)$ where m is the slope of the line and $(x_1,y_1)$ is a given point

Given that the slope is -3/4, we can plug it into $y-y_1=m(x-x_1)$ as m:

$y-y_1=\displaystyle -\frac{3}{4}(x-x_1)$

We can also plug in the given point (1,2):

$y-2=\displaystyle -\frac{3}{4}(x-1)$

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate y:

$y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}$

I hope this helps!

8 0

2 years ago

Help please last question I swear

SOVA2 [1]

Jones has 3/4 total fertilizer. He wants to use 1/8 each scoop to use all of the fertilizer.
We need to make these into proportions to understand the amount of each fraction easier. 1/8 = 0.125, and 3/4 = 0.750
To do this the quick way, divide 0.750 by 0.125
0.750/0.125 = 6.
He will have to use the measuring cup 6 times.
Hope this helps!

4 0

3 years ago

Find the value of x.

polet [3.4K]

Answer:

x = 20

Step-by-step explanation:

7x° + (x + 20)° = 180° (linear pair)

Solve for x

7x + x + 20 = 180

Add like terms

8x + 20 = 180

8x + 20 - 20 = 180 - 20

8x = 160

8x/8 = 160/8

x = 20

7 0

3 years ago

15 POINTS!! PLEASE HELP ASAP!!

insens350 [35]

Answer:

Total number of kilometers in the ride = 5 km

Number of kilometers Garret has already biked = k km

Number of kilometers Garret left to ride = 5 - k km

Number of minutes Garret takes per kilometer = 4 minutes.

Step-by-step explanation:

1. It takes 4 minutes for Garret to go a kilometer. Then

Number of minutes Garret takes per kilometer = 4 minutes.

2. Suppose the variable $k$ is the number of kilometers Garret has already biked.

3. Garret is partway through a 20-minute bike ride. It takes 4 minutes for him to go a kilometer. Then

Total number of kilometers in the ride is

$20\div 4=5\ km$

4. Suppose the variable $k$ is the number of kilometers Garret has already biked. Then $5-k$ km is the number of kilometers Garret left to ride.

6 0

3 years ago