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LuckyWell [14K]
2 years ago
12

1 pts

Mathematics
1 answer:
natima [27]2 years ago
6 0
Slope: 7
Point: (4,3)
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Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h
Nikitich [7]

Answer: 5 inches


Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = a^2=6^2=36\ inches^2

we know that volume of square right pyramid=\frac{1}{3}\times\ a^2h

Therefore, volume of square right pyramid made by all of clay=\frac{1}{3}\times\ a^2h=48 cubic inches

\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}

Now, slant height l=\sqrt{(\frac{a}{2})^2+h^2}

\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5

The slant height of the pyramid if Helen uses all the clay=5 inches

5 0
3 years ago
Read 2 more answers
What is the difference in Fahrenheit degrees between a temperature of 0C and a temperature of 15C?
slamgirl [31]

Answer:

27^{\circ}F

Step-by-step explanation:

Use formula

F=1.8C+32

to convert Celsius to Fahrenheit.

When C_1=0^{\circ}C, then

F_1=1.8\cdot 0+32\\ \\F_1=32^{\circ}F

When C_2=15^{\circ}C, then

F_2=1.8\cdot 15+32\\ \\F_2=27+32=59^{\circ}F

Difference:

F_2-F_1=59^{\circ}F-32^{\circ}F=27^{\circ}F

8 0
3 years ago
Which equation shows the distributive property?
atroni [7]
Do u have a pic of the problem ?

7 0
3 years ago
Determine the equation of the circle graphed below .
Volgvan

Answer:

(x+1)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

3 0
3 years ago
What is the greatest common multiple of 4 and 8 enter the answer
kirza4 [7]

Least Common Multiple (LCM) of 4 and 8 is 8. 4 is 2 x 2, while 8 is 2 x 2 x 2. We take the first two that's shared, second two's that shared, and third two that's note. We have three twos, or 2 x 2 x 2 = 8. So the LCM of 4 and 8 is 8.

5 0
3 years ago
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