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3 years ago

Kevin drove 693 miles in 11 hours. At the same rate, how many miles would he drive in 9 hours

Mathematics

2 answers:

rodikova [14]3 years ago

5 0

Answer:

567 Miles

Step-by-step explanation:

pochemuha3 years ago

5 0

Answer:

567 mi

Step-by-step explanation:

you have to divide by 11 then multiply by 9

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Answer:

0.63091482649

Step-by-step explanation:

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3 years ago

What is the volume of the pyramid? 10 in 120 in 320 in 480 in 960 in.

QveST [7]

Answer:

320

Step-by-step explanation:

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3 years ago

Given that log3(z - 1) - logz z = 1+ 3 log3 y, express z in terms of y.

fgiga [73]

Answer:

z = 1 + 9y³

Step-by-step explanation:

It looks like you have ...

$\log_3{(z-1)}-\log_z{(z)}=1+3\log_3{(y)}\\\\\log_3{(z-1)}-1=1+\log_3{(y^3)}\\\\\log_3{(z-1)}=2+\log_3{(y^3)}\qquad\text{add 1}\\\\z-1=(3^2)(y^3)\qquad\text{take antilog}\\\\\boxed{z=1+9y^3}\qquad\text{add 1}$

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3 years ago

How do I solve for the missing lengths?

Advocard [28]

Answer:

Part 4) $ER=3\ units$

Part 5) $DF=9\sqrt{10}\ units$

Part 6) $DE=30\ units$

Step-by-step explanation:

Part 4) Find ER

we know that

In the right triangle ERF

Applying the Pythagorean Theorem

$EF^2=ER^2+RF^2$

substitute the given values

$(3\sqrt{10})^2=ER^2+9^2$

solve for ER

$ER^2=(3\sqrt{10})^2-9^2$

$ER^2=90-81\\ER^2=9\\ER=3\ units$

Part 5) Find DF

we know that

In the right triangle DRF

Applying the Pythagorean Theorem

$DF^2=DR^2+RF^2$

substitute the given values

$DF^2=27^2+9^2$

$DF^2=810\\DF=\sqrt{810}\ units$

simplify

$DF=9\sqrt{10}\ units$

Part 6) Find DE

we know that

$DE=DR+RE$ ----> by segment addition postulate

we have

$DR=27\ units\\RE=ER=3\ units$

substitute

$DE=27+3=30\ units$

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2 years ago