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4 years ago

Which of the following conversion factors would be best used to convert 23 kilometers (km) to miles (mi)?

1 answer:

6 0

For the first part, a is the answer because we want km over mi and for the second part, multiply 1km/0.62mi times 23km which equals 14.26 miles

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Lee is thinking of 2 numbers, the product is 18.the quotient is 2. what are yhe two numbers?

jeka94

$xy=18\\
\dfrac{x}{y}=2\\\\
xy=18\\
x=2y\\\\
2y\cdot y=18\\
2y^2=18\\
y^2=9\\
y=-3 \vee y=3\\\\
x=2\cdot (-3) \vee x=2\cdot 3\\
x=-6 \vee x=6\\\\
\boxed{(x,y)=\{(-6,-3),(6,3)\}}$

4 0

4 years ago

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

HELP PLEASE I NEEED IT

frozen [14]

Answer:

Cylinder A= 603.81

Cylinder B= 603.19

Cylinder A holds more sand than Cylinder B

Step-by-step explanation:

4 0

3 years ago

Can someone help me with number 4 please!!

Katarina [22]

Answer:

Step-by-step explanation:

3 0

3 years ago

Pleaseeeeee help with math. i’ve gotten no help today. explantion needed!!

Reptile [31]

Answer:

Exactly two distinct zeros

Step-by-step explanation:

y = 2(x-1) (x + 4)

Plug y = 0

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

0/2 = (x-1) (x + 4)

(x-1) (x + 4) = 0

(x-1) = 0 or (x + 4)= 0

x = 1 or x = - 4

Here, x has two distinct roots, therefore given quadratic relation has Exactly two distinct zeros.

8 0

3 years ago

Read 2 more answers