If ΔRST symbol ΔNPQ, which of the following is true?

Luke is building a bike ramp. The ramp is going to be 3 feet tall on the high end and 6 feet long. How long is the base of the r

eimsori [14]

Answer: 5.1961

Step-by-step explanation: I believe you would use the Pythagorean’s theorem, since it’s a problem about a ramp, always draw pictures for word problems. So you would plug your numbers in the formula and solve. 3 squared plus B squared (that’s what we are trying to find so its a variable) equals 6 squared. Then you square and it becomes 9 + b2= 36, subtract 9 on both sides, b2=27, then square root on both sides to get 5.1961. Hopefully that’s right. :)

7 0

4 years ago

There are 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the heath requirements, so they couldn'

Daniel [21]

Answer:

The volunteers donated $470(32-n)$ millimeters of blood.

Step-by-step explanation:

Given:

Total Number of Volunteers = 32

number of Volunteers failed to donate = n

Amount of blood donated by each volunteer = 470 mm

We need to find the Total amount of blood donated by the Volunteers.

Solution:

First we will find the number of volunteers donated blood.

the number of volunteers donated blood is equal to Total Number of Volunteers minus number of Volunteers failed to donate.

framing in equation form we get;

the number of volunteers donated blood = $(32-n)$

Now we will find Total amount of blood donated by the Volunteers.

Total amount of blood donated by the Volunteers is equal to Amount of blood donated by each volunteer multiplied by the number of volunteers donated blood.

framing in equation form we get;

Total amount of blood donated by the Volunteers = $470(32-n)$

Hence The volunteers donated $470(32-n)$ millimeters of blood.

5 0

3 years ago

How to get slope from standard form.

lidiya [134]

Answer:

Solve the equation for y. See example.

Step-by-step explanation:

I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.

$3x + 5y = 15 \\ - 3x \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: - 3x$

$5y = - 3x + 15$

Now solve for y by dividing each term by 5.

$\frac{5y}{5} = \frac{ - 3}{5} x + \frac{15}{5}$

Now simplify.

$y = \frac{ - 3}{5} x + 3$

The slope is

$- \frac{3}{5}$

5 0

3 years ago

What is the length of the segment, endpoints of which are intersections of parabolas y=x^2− 11/4 x− 7/4 and y=− 7/8 x^2+x+ 31/8

kobusy [5.1K]

Answer:

The length of line segment is 5

Step-by-step explanation:

we are given equation of parabolas as

$y=x^2-\frac{11}{4}x-\frac{7}{4}$

$y=-\frac{7}{8}x^2+x+\frac{31}{8}$

Firstly, we will find intersection points

we can set them equal

and then we can solve for x

$x^2-\frac{11}{4}x-\frac{7}{4}=-\frac{7}{8}x^2+x+\frac{31}{8}$

Multiply all sides by 8

$x^2\cdot \:8-\frac{11}{4}x\cdot \:8-\frac{7}{4}\cdot \:8=-\frac{7}{8}x^2\cdot \:8+x\cdot \:8+\frac{31}{8}\cdot \:8$

$8x^2-22x-14=-7x^2+8x+31$

$15x^2-30x-45=0$

now, we can factor it

$15(x^2-2x-3)=0$

$15(x-3)(x+1)=0$

$x=-1,x=3$

now, we can find y-values

At x=-1:

$y=(-1)^2-\frac{11}{4}(-1)-\frac{7}{4}$

y=2

so, we get point as

(-1,2)

At x=3:

$y=(3)^2-\frac{11}{4}(3)-\frac{7}{4}$

y=-1

so, we get point as

(3,-1)

now, we can find distance between these two points

(-1,2)

x1=-1 , y1=2

(3,-1)

x2=3 , y2=-1

now, we can find distance

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$D=\sqrt{(3+1)^2+(-1-2)^2}$

$D=5$

So,

The length of line segment is 5

6 0

3 years ago

PLEASE HELP!!!!!! If g(x) = 2 − 1, what is g(−2.3)? a.-7 b.-5 c.-4 d.-3

Andru [333]

Assuming there's an x after the 2 g(x)=2x-1 g(-2.3) is basically just putting -2.3 in the x which would be 2(-2.3)-1 which is:
-4.6-1 which is -5.6.
The final answer would be g(x)=-5.6
Hope this helps!

3 0

3 years ago