Two numbers add up to 5.5 multiply together to give 6

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi

Rom4ik [11]

Answer:

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

$\displaystyle A=\frac{bh}{2}$

$\displaystyle A=\frac{(h+9)h}{2}$

And its value is 180:

$\displaystyle \frac{(h+9)h}{2}=180$

Multiplying by 2:

$(h+9)h=360$

Operating:

$h^2+9h-360=0$

Factoring:

$(h-15)(h+24)=0$

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0

3 years ago

i need you to increase the number of customers you talk to daily by 20% i talk to an average of 8 customers per hour during an 8

Scrat [10]

I hope this helped your question

4 0

3 years ago

The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 i

stich3 [128]

Complete question :

The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 inches. Round answers to the nearest tenth of a percent. a) What percentage of years will have an annual rainfall of less than 43 inches? b) What percentage of years will have an annual rainfall of more than 39 inches? c) What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

Answer:

0.61053

0.66314

0.26647

Step-by-step explanation:

Given that :

Mean (m) = 41.4 inches

Standard deviation (s) = 5.7 inches

a) What percentage of years will have an annual rainfall of less than 43 inches?

P(x < 43)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (43 - 41.4) / 5.7 = 0.2807017

p(Z < 0.2807) = 0.61053 ( Z probability calculator)

b) What percentage of years will have an annual rainfall of more than 39 inches? c)

P(x > 39)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (39 - 41.4) / 5.7 = −0.421052

p(Z > −0.421052) = 0.66314 ( Z probability calculator)

What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

P(x < 38)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (38 - 41.4) / 5.7 = −0.596491

p(Z < −0.596491) = 0.27545 ( Z probability calculator)

P(x < 42)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (42 - 41.4) / 5.7 = 0.1052631

p(Z < 0.1052631) = 0.54192 ( Z probability calculator)

0.54192 - 0.27545 = 0.26647

6 0

3 years ago

I need help please help me

rusak2 [61]

Answer:

Ok,You need to put the value of x that appears in the table to give you the result of h (x)

1.h(x)=4x+5

h(-5)=4(-5)+5

h(-5)= -20+5

h(-5)= -15

2.h(-1)=4(-1)+5

h(-1)= -4+5

h(-1)= 1

3. h(1)=4(1)+5

h(1)=4+5

h(1)=9

4. h(3)=4(3)+5

h(3)=12+5

h(3)=17

5. h(4)=4(4)+5

h(4)=16+5

h(4)=21

Step-by-step explanation:

x h(x)

-5 -15

-1 1

1 9

3 17

4 21

I hope this help.Please give me the brainliest

4 0

3 years ago

Question 8 options:

prisoha [69]

Answer:

Step-by-step explanation:

Based on what you have here as the slope we can set the slope formula equal to 34 using the points (0, 8) and (8, c) to solve for c, then use the points (0, 8) and (a, 5) to solve for a.

c first:

$\frac{c-8}{8-0}=34$ and