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Ainat [17]
3 years ago
8

What is the surface area of a square pyramid with a base perimeter of 60 inches and a slant height of 13 inches? 450 in. 2 O 780

in.2 390 in? 0 615 in.2​
Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Answer:

total area = 615 sq. in.

Step-by-step explanation:

There are 4 triangles that make up the lateral area.  The base of each triangle is 60/4 = 15 in. and the height of each triangle is 13 in.  So, the area of one triangle = .5bh = .5(15)(13) = 97.5.  The lateral area = 4(97.5) = 390.  The area of the square base is 15(15) = 225.  The total area = 390 + 225 = 615 sq. in.

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Find the length of diagonal HJ. Round to the nearest hundredth.
Alisiya [41]

Answer:

The length of the diagonal HJ is 10.82 units

Step-by-step explanation:

* Lets revise the rule of the distance between two points

- d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}, where

 (x_{1},y_{1}) and (x_{2},y_{2}) are the two points

* Lets use this rule to find the length of the diagonal HJ

∵ The coordinates of point H are (-4 , 3)

∵ The coordinates of point J are (5 , -3)

∴ x_{1}=-4 and x_{2}=5

∴ y_{1}=3 and y_{2}=-3

- Lets find the length of the diagonal HJ by using the rule above

∴ HJ = \sqrt{(5-(-4))^{2}+(-3-3)^{2}}=\sqrt{(5+4)^{2}+(-6)^{2}}

∴ HJ = \sqrt{(9)^{2}+36}=\sqrt{81+36}=\sqrt{117}=10.81665

∴ HJ = 10.82

* The length of the diagonal HJ is 10.82 units

7 0
3 years ago
your basketball team made 10 three pointers 8 two pointers and 12 one point foul shots your openents made 8 three pointers 12 tw
inn [45]

Answer:

The opponents won by 1 points

Step-by-step explanation:

Your team (10*3)+(8*2)+(12*1)=58

Opponents (8*3)+(12*2)+(11*1)=59

8 0
3 years ago
Dominick borrowed $6,000 from a credit union at 9% simple interest for 30 months. What were his monthly installment payments to
Lady_Fox [76]

<em>Answer: </em>

<em>A = $7,350.00</em>

<em></em>

<em>Step-by-step explanation:</em>

<em>Equation:</em>

<em>A = P(1 + rt)</em>

<em>First, converting R percent to r a decimal</em>

<em>r = R/100 = 9%/100 = 0.09 per year.</em>

<em>Putting time into years for simplicity,</em>

<em>30 months / 12 months/year = 2.5 years.</em>

<em></em>

<em></em>

<em>Solving our equation:</em>

<em>A = 6000(1 + (0.09 × 2.5)) = 7350 </em>

<em>A = $7,350.00</em>

<em>The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.</em>

<em>* Therefor, the answer is $7,350.00.</em>

<em>* Hopefully this helps:) Mark me the brainliest:)!!!</em>

7 0
3 years ago
Find m&lt;1 and m&lt;2. Justify your answer.
Natalija [7]

Answer:

M<1 80 by the corresponding angles postulate

Step-by-step explanation:

4 0
3 years ago
What is the value of the 5 in the number 14.5?
WINSTONCH [101]
The alue of 5 is the tenths place.
3 0
3 years ago
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