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Sergio039 [100]
3 years ago
15

a garden table and a bench cost 806 combined. The garden table costs 44 less than the bench What is the cost of the bench?

Mathematics
1 answer:
Alexandra [31]3 years ago
3 0
806 - 44 = 762.
762 divided by 2 = 381.
381 + 44 = 425. Hope it helps! :)
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The Louvre is an art museum in Paris. A glass square base pyramid sits in front of the entrance to the museum. If the pyramid is
Sveta_85 [38]

Answer:

lateral area = 2320 m²

Step-by-step explanation:

The question wants us to calculate the lateral area of a square base pyramid. The square base pyramid has a side of 40 meters.The height is 21 meters.

Half of the square base is 40/2 =  20 meters . With the height it forms a right angle triangle. The hypotenuse side is the slant height of the pyramid.

Using Pythagoras's theorem

c² = a² + b²

c² = 20² + 21²

c² = 400 + 441

c² = 841

square root both sides

c = √841

c = 29 meters

The slant height of the pyramid is 29 meters.

The pyramid has four sided triangle. The lateral area is 4 multiply by the area of one triangle.

area of triangle = 1/2 × base × height

base = 40 meters

height = 29 meters

area = 1/2 × 40 × 29

area = 580

area of one triangle = 580 m²

Lateral area = 4(580)

lateral area = 2320 m²

5 0
3 years ago
Solve 9-3(x+4)=2(x-3)-8<br> A)3<br> B)2.5<br> C)-2.5<br> D)-4
cupoosta [38]

Answer:

x=11/5, or x=2.2.

Step-by-step explanation:

9-3(x+4)=2(x-3)-8

9-3x-12=2x-6-8

9-12-3x=2x-14

-3-3x=2x-14

-3-3x-2x=-14

-3-5x=-14

5x=-3-(-14)

5x=-3+14

5x=11

x=11/5

x=2.2

4 0
3 years ago
An initial of the $100 is now valuated at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05=
tangare [24]

Answer:

8 years approximately

The problem (I'm assuming is):

Solve 100e^{0.05t}=150.

I put a t in the problem where I suspected it in went.

Step-by-step explanation:

100e^{0.05t}=150

Divide both sides by 100:

e^{0.05t}=\frac{150}{100}

e^{0.05t}=1.5

Rewrite in logarithm form.

\ln(1.5)=0.05t

Divide both sides by 0.05:

\frac{\ln(1.5)}{0.05}=t

Put left hand side into calculator:

8.109 \approx t

t \approx 8.109

So about 8 years if I wrote down the equation correctly.

4 0
3 years ago
Read 2 more answers
HELP AGAIN PLEASE!!!!!!!!!!!!!
mihalych1998 [28]
The answer would be D because you are subtracting a positive 17 from a positive 88
6 0
3 years ago
Read 2 more answers
Which is a factor of 5xy − 40x − 15y + 120? <br> A. 2 <br> B. y − 8 <br> C. x − 4 <br> D. x + 6
Phantasy [73]
Upon slight rearranging:

5xy-15y-40x+120, now factor 1st and 2nd pair of terms

5y(x-3)-40(x-3) which is equal to:

(5y-40)(x-3)  if we factor the first parenthetical term as well

5(y-8)(x-3)

So (y-8) is a factor
5 0
3 years ago
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