All categories

2 years ago

1 over 3b = 4 over 5 . Which of the following equals b in this equation? (4 points)

Mathematics

1 answer:

vfiekz [6]2 years ago

8 0

Answer:

none of the answers listed are equivalent to b (22/5, 11/8, 2/5, 1/4)

Step-by-step explanation:

$\frac{1}{3b} = \frac{4}{5}$

to simplify, cross multiply

(1 · 5 = 3b · 4)

(5 = 12b)

divide both sides by 12 to isolate b,

$\frac{5}{12} =\frac{12b}{12}$

$\frac{5}{12} = b$

None of the answers listed are equivalent to 5/12

$\frac{5}{12}$ $\neq$ $\frac{22}{5}$

$\frac{5}{12} \neq$ $\frac{11}{8}$

$\frac{5}{12} \neq$ $\frac{2}{5}$

$\frac{5}{12} \neq$ $\frac{1}{4}$

You might be interested in

Dersan went for a run to prepare for a long distance race coming up. From his house, he ran 6 miles directly north, and then 8 m

ella [17]

Answer:

Step-by-step explanation:

So, Dersan's path is a right triangle. You have to find the last side. You can use the triples or 6^2+8^2=c^2 but I'll use a triple.

3,4,5.

The last side is 10.

6+8+10=24

hope this helped!

3 0

3 years ago

Find the value of each variable<br> x = <br> y=

Karolina [17]

Answer:

x=9

y= $9\sqrt{2}$

Step-by-step explanation:

This is a special type of triangle known as a 45-45-90 triangle.

The ratio for the sides of this triangle are x:x:x $\sqrt{2}$

Meaning that the two sides other than the hypotenuse are equal, so in this triangle x=9 because it is not a hypotenuse.

The hypotenuse, however, is the value of one side multiplied by $\sqrt{2}$ .

In this case it is 9, so 9* $\sqrt{2}$ = $9\sqrt{2}$

7 0

2 years ago

Please help asap please..ill give Brainliest

kompoz [17]

Answer:

There are no solutions

Step-by-step explanation:

Because the lines are parallel, they will never meet, meaning there are no solutions to this system of equations

7 0

3 years ago

Find the area of a triangle with a base of 10 in. and an altitude of 14 in. (The formula for the area of a triangle is A = bh ÷

Vanyuwa [196]

Answer:

The correct option is B.

Step-by-step explanation:

The area of triangle is

$A=\frac{1}{2}\times b\times h$

Where, b is the base of the triangle and h is the height of the triangle.

It is given that the base of the triangle is 10 inch and the height of the triangle is 14 inch.

The area of given triangle is

$A=\frac{1}{2}\times 10\times 14$

$A=10\times 7$

$A=70$

Therefore the area of triangle is 70 square inch and the option B is correct.

3 0

3 years ago

Read 2 more answers

If AD=6 and AB=24, find AC

ruslelena [56]

When a perpendicular is dropped from the right-angle (C) to the opposite side AB, the metric relations apply:
BD*BA=a^2 ..........................(1)
AD*AB=b^2...........................(2)
BD*DA=DC^2........................(3)

Given AD=6, AB=24, using metric relation (2) above, we have
b^2=6*24=144
=>
b=sqrt(144)=12

By the way, we conclude that this is a 30-60-90 triangle because b/AB=(1/2)=sin(B) => B=30 degrees.

Answer: b=12

6 0

3 years ago