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Phantasy [73]
4 years ago
6

What is the area of this triangle? Enter your answer as a decimal. Round only your final answer to the nearest hundredth.

Mathematics
1 answer:
Ivan4 years ago
3 0
See attached picture for solution:

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Theo has a balence of $-4 in his savings account. After making a deposit, he has $25 in his account.What is the overall change t
lions [1.4K]

The has a +$29 change in his account

6 0
3 years ago
Read 2 more answers
A pool in the shape of a rectangle prism is being filled with water. The length and width is 24 feet and 15 feet. If the hight o
hram777 [196]

Check the picture below.

\textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=24\\ w=15\\ h=1\frac{1}{3} \end{cases}\implies V=(24)(15)(1\frac{1}{3})\implies \stackrel{in~ft^3}{V}=(24)(15)(\frac{4}{3}) \\\\\\ \stackrel{\textit{converting all feet to inches}}{\stackrel{in~in^3}{V}=(24\cdot 12)(15\cdot 12)(\frac{4}{3}\cdot 12)}\implies V=(288)(180)(16)\implies V=\stackrel{in^3}{829440}

7 0
3 years ago
Leia cuts congruent triangular patches with an area of 45 square centimeters from a rectangular piece of fabric that is 18 centi
zimovet [89]
The number of patches that Leia can cut from 32 pieces of the fabric measuring  18 cm by 10 cm will be as follows:
Number of pieces=[total area of fabric]/[area of patch]
area of fabric=18×10=180 cm²
Area of 32 patches=180×32=5760 cm²

Area of patch=45 cm²

Number of patches=5760/45=128 patches 
6 0
4 years ago
A refrigerator costs $580 a year to run. A family purchases a new one for $1200 that will save them 22% annually in energy costs
NeTakaya

Answer:

It will take nine years and four months for the refrigerator to pay for itself.

Step-by-step explanation:

The new refrigerator which costs $1200, saves the family 22% annually in energy cost.

Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.

22% of $580

= 580 × 0.22

= 127.6

That is, it saved then $127.6 per year.

Now,

$1200/127.6

≈ 9.4

Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.

7 0
3 years ago
The height of a square pyramid-shaped gift box is one half the length of
Schach [20]

Answer:

15 inches

Step-by-step explanation:

Volume of a squre based pyramid :

V = a²(h/3)

a = base edge ; h = height

h =1/2 a

V = 4500

4500 = a² * (1/2a) ÷ 3

4500 = a² * a/2 * 1/3

4500 = a³/2 * 1/3

4500 = a³ / 6

27000 = a³

27000 = a³

Take the cube root of both sides

(27000)⅓ = a

30 = a

Recall:

h = 1/2a

h = 1/2(30)

h = 15 inches

5 0
3 years ago
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