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stira [4]
3 years ago
7

Bob brought 3 autographed baseballs for show and tell. They are 1/6 of his whole collection. How many autographed baseballs are

in Bob's whole collection?
Mathematics
1 answer:
natulia [17]3 years ago
6 0
Bob brought 3 autographed baseball for show and tell.Now, that 3 autographed is said to be 1/6 of his whole collection.Let's find out how many autographed did Bob have in total.=> 3 autographed = 1/6 of his collections.To be able to have a value of 1 whole collections we need 6 1/6s=> 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 or 1Thus, the value of his current autographed in hand will be multiplied with 6=> 3 * 6 = 18<span>Therefore, he have a total of 18 autographed.</span>
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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
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schepotkina [342]
It is a.1

(1+5) - 2(4(1)-1) = 0

(6) - 2(3) = 0

6 - 6 = 0

0=0
4 0
3 years ago
Q. If A is a square matrix such that A² = A, then write the value of 7 A −(I + A)³, where I is an identity matrix.​
andriy [413]

Answer:

7A−(I + A)³

=7A−(1³ + A³ +3.I.A² +3.1².A)

=7A−(I+ A².A+3A² +34)

= 7A-(I+A.A+3A+34) (*: A² = A)

=7A-(I+ A² +6A)

= 7A-(I+A+64)

=7A-(1+7A)

=7A-I-7A

=-1

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2 years ago
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almond37 [142]

Answer:

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Step-by-step explanation:

∵ v = π r² h

∴ r² = \frac{V}{\pi h }

∴ r = \sqrt{\frac{V}{\pi h}}

∵ r = 10 ft and h = 15 ft

∴ 10=\sqrt{\frac{V}{15\pi } }

4 0
3 years ago
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Goshia [24]

Answer: 3360 4200

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