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3 years ago

..........??????????????????????

Mathematics

1 answer:

Lana71 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

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The sum of Orion and Sagan’s age is 24, and the difference between their ages is 6. Find their ages given that Orion is older th

Katarina [22]

Let's say that Sagan's age is x and Orion is x + 6 (since Sagan is younger by 6 years).

We know that Orion's age + Sagan's age is 24, so x + x + 6 is 24

2x = 18

x = 9

That means that Sagan is 9, and Orion is 9+6 or 15.

6 0

3 years ago

IS THE ANSWER C 162 ?? someone check me please this is triangular prism correct??? I did 1/2 × 6×3×18 but someone else got 243 a

oee [108]

Answer:

the answer is c 162

Step-by-step explanation:

formula for triangular prism: 1/2*b*h1*h2

substitute the values into the formula:

6*3*18=324

324/2=162

plz vote my answer the brainiest if it helps, thanks!

4 0

3 years ago

A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 5 ft from the house, the

lord [1]

Answer:

a. -5 ft per sec

b. 59.5 ft² per sec

Step-by-step explanation:

a. Suppose l represents the ladder, x represents the height of the top of ladder from the base of house and y represents the distance of base of ladder from the base of house.

By the Pythagoras theorem,

$l^2 = x^2 + y^2------(1)$

Differentiating with respect to t ( time ),

$2l\frac{dl}{dt} = 2x \frac{dx}{dt}+2y\frac{dy}{dt}$

But, height of ladder, l = 13 ft = constant,

$\implies \frac{dl}{dt}=0$

$\implies 0= 2x \frac{dx}{dt}+2y\frac{dy}{dt}-----(2)$

We have,

y = 5, $\frac{dy}{dt}=12\text{ ft per sec}$ ,

Again by equation (1),

$13^2 = x^2 + 5^2\implies 169 = x^2 + 25\implies 169 - 25 = x^2\implies 144 = x^2\implies x = 12\text{ ft}$

From equation (2),

$0 = 2(12) \frac{dx}{dt} + 2(12)(5)$

$0= 24\frac{dx}{dt}+120$

$-120 =24\frac{dx}{dt}$

$\implies \frac{dx}{dt}=-\frac{120}{24}=-5\text{ ft per sec}$

Hence, the rate of change of the height of the top of the ladder is -5 ft per sec.

b. Now area of the triangle = 1/2 × base × height

$\implies A = \frac{1}{2}\times y\times x$

Differentiating with r. t. t,

$\frac{dA}{dt}=\frac{1}{2}(y\frac{dx}{dt}+x\frac{dy}{dt})$

$= \frac{1}{2}(5(-5) + 12(12))$

$=\frac{1}{2}(-25 + 144)$

$=\frac{119}{2}$

= 59.5 ft² per sec

Hence, area of the triangle is changing with the rate of 59.5 ft per sec.

7 0

4 years ago

I can subtract 6 from 6x to get x by itself.<br> O True<br> O False

muminat

Answer:

false

Step-by-step explanation:

6x - 6 = 6x -6

to get x by itself you would have to divide by 6

6x / 6 = x

7 0

3 years ago

Read 2 more answers

Which fractions are less than 1/2? A. 1/3 B. 4/6 C. 2/5 D. 5/8 or E. 7/12

butalik [34]

The fractions less than 1/2 are:
A. 1/3
C. 2/5

6 0

3 years ago