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3 years ago

Rearrange the formula P = 2(l + b) for b.

Mathematics

1 answer:

Elan Coil [88]3 years ago

6 0

B = -l + 1/2 P is the answer

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Two less than seven times a number c is written as

Savatey [412]

Answer:

$7c-2$

Step-by-step explanation:

Let c be the number.

We are asked to write an expression for given verbal description.

7 times the number c would be $7c$ .

Two less than seven times a number means 2 subtracted from $7c$ .

Two less than seven times a number c would be $7c-2$ .

Therefore, our required expression would be $7c-2$ .

7 0

3 years ago

Un triángulo rectángulo tiene un área de 84 pies2 y una hipotenusa de 25 pies de largo. ¿Cuáles son las longitudes de sus otros

jolli1 [7]

Answer:

7 feet and 24 feet

Step-by-step explanation:

In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.

Let x feet and y feet be the lengths of triangle's legs.

By the Pythagorean theorem,

$x^2+y^2=25^2\\ \\x^2+y^2=625$

The area of the right triangle is half the product of its legs, thus

$84=\dfrac{1}{2}xy\\ \\xy=168$

Solve the system of two equations:

$\left\{\begin{array}{l}x^2+y^2=625\\ \\xy=168\end{array}\right.$

From the second equation:

$x=\dfrac{168}{y}$

Substitute it into the first equation:

$\left(\dfrac{168}{y}\right)^2+y^2=625\\ \\168^2+y^4=625y^2\\ \\y^4-625y^2+168^2=0\\ \\D=(-625)^2-4\cdot 168^2=(625-2\cdot 168)(625+2\cdot 168)=289\cdot 961=17^2\cdot 31\\ \\\sqrt{D}=17\cdot 31=527\\ \\y^2_{1,2}=\dfrac{-(-625)\pm 527}{2}=49,\ 576\\ \\y_1=7,\ y_2=-7,\ y_3=24,\ y_4=-24$

The length of the leg cannot be negative, so

$y_1=7\Rightarrow x_1=\dfrac{168}{7}=24\\ \\y_2=24\Rightarrow x_2=\dfrac{168}{24}=7$

6 0

3 years ago

Solve this if u can pls!

aev [14]

Answer:

its log 5 7/8

Step-by-step explanation:

8 0

2 years ago

A salesman sells an item for $125. He gets a 20% commission. How<br> much money did he make?

My name is Ann [436]

Answer:$25

Step-by-step explanation:

20% of 125 is $25 dollars so his commission would be $25

6 0

3 years ago

Read 2 more answers

What does w and y equal?

Keith_Richards [23]

W+y=25 and 9.95w+11.5y=276.65
solve for w in equation one:
w+y=25
w=25-y
then substitute w in equation two and solve for y:
9.95w+11.5y=276.65
9.95(25-y)+11.5y=276.65
1.55y+248.75=276.65
1.55y+248.75-248.75=276.65-248.75
1.55y=27.9
1.55y/1.55=27.9/1.55
y=27.9/1.55=18
y=18
then substitute y=18 into the first equation to solve for x:
w+y=25
rewrite as w=25-y y=18
w=25-18
w=7
then are answer is w=7 and y=18

5 0

3 years ago