PLEASE HELP ME RN<br> NO LINKS !!!

At a point on the ground 35 ft from the base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height

jolli1 [7]

Answer:

Step-by-step explanation:

This is a question that uses the Pythagorean Theorem.

a = 35 feet

b = x which is the height of the tree.

c = 3*x + 1 so we are trying to find x. Substitute into a b and c

a^2 + b^2 = c^2

35^2 + x^2 = (3x + 1)^2

35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.

35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.

0 = 8x^2 + 6x + 1 - 35^2

0 = 8x^2 + 6x - 1224

Does this factor?

(x + 12.75)(x - 12)

x - 12 = 0 is the only value that works.

x = 12

The tree is 12 feet high.

Note: I used the quadratic formula to solve this.

6 0

3 years ago

Read 2 more answers

PLEASE HELP ! 15 POINTs!

Lapatulllka [165]

Answer:

Perimeter = 101.496 cm

Step-by-step explanation:

draw line from point C that is perpendicular to line AD. Call that point E.

tan 43° = 16.7/ED

0.9325 = 16.7/ED

ED = 17.909 cm

sin 43° = 16.7/CD

0.6820 = 16.7/CD

CD = 24.487 cm

Perimeter = AB + BC + CD + ED + AE

Perimeter = 16.7 + 21.2 + 24.487 + 17.909 + 21.2 = 101.496 cm

8 0

2 years ago

The approximate molar concentration of several chemicals are given. Find the pH of each use the calculator and round to the near

mojhsa [17]

Answer:

$pH = 13$ --- Oven Cleaner

$pH = 6.2$ --- Water

$pH =7.4$ --- Blood

$pH = 2.2$ --- Vinegar

Step-by-step explanation:

The given molar concentration are:[Missing from the question]

Oven Cleaner: [h+] = $10^{-13}$

Water: [h+] = $0.0000007$

Blood: [h+] = $0.00000004$

Vinegar: [h+] = $0.0063$

Required

Determine the pH

pH is calculated using:

$pH = -\log(h+)$

So, we have:

Oven Cleaner:

$pH = -\log(10^{-13})$

Using a calculator, we have:

$pH = 13$

Water:

$pH = -\log(0.0000007)$

Using a calculator, we have:

$pH = -1*-6.2$

$pH = 6.2$

Blood:

$pH = -\log(0.00000004)$

Using a calculator, we have:

$pH = -1 * -7.4$

$pH =7.4$

Vinegar:

$pH = -\log(0.0063 )$

Using a calculator, we have:

$pH = -1 * -2.2$

$pH = 2.2$

4 0

3 years ago

Industry standards suggest that 10 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumte

borishaifa [10]

Answer:

a) 0.3874

b) 0.3874

c) 0.1722

d) Mean and Standard Deviation = 0.9

Step-by-step explanation:

This is binomial distribution problem that has formula:

$P(x=r)=nCr*p^{r}*q^{n-r}$

Here p is probability of success = 10% = 0.1

q is probability of failure, that is 90% = 0.9

n is total number, which is 9, so n = 9

a)

The probability that none requires warranty is r = 0, we substitute and find:

$P(x=r)=nCr*p^{r}*q^{n-r}\\P(x=0)=9C0*(0.1)^{0}*(0.9)^{9-0}\\P(x=0)=0.3874$

Probability that none of these vehicles requires warranty service is 0.3874

b)

The probabilty exactly 1 needs warranty would change the value of r to 1. Now we use the same formula and get our answer:

$P(x=r)=nCr*p^{r}*q^{n-r}\\P(x=1)=9C1*(0.1)^{1}*(0.9)^{9-1}\\P(x=1)=0.3874$

This probability is also the same.

Probability that exactly one of these vehicles requires warranty is 0.3874

c)

Here, we need to make r = 2 and put it into the formula and solve:

$P(x=r)=nCr*p^{r}*q^{n-r}\\P(x=2)=9C2*(0.1)^{2}*(0.9)^{9-2}\\P(x=2)=0.1722$

Probability that exactly two of these vehicles requires warranty is 0.1722

d)

The formula for mean is

Mean = n * p

The formula for standard deviation is:

Standard Deviation = $\sqrt{n*p*(1-p)}$

Hence,

Mean = 9 * 0.1 = 0.9

Standard Deviation = $\sqrt{9*0.1*(1-0.1)}=0.9$

4 0

2 years ago

A 15ftX20ft room has a 6ft diameter circular rug in it. How much of the flood is not covered by the rug?

Luda [366]

Answer:

There are 271.74 ft^2 not covered by the rug

The percentage not covered by the rug is 90.58%

Step-by-step explanation:

step 1

Find out the area of the room

The area of the rectangular room is

$A=(15)(20)=300\ ft^2$

step 2

Find out the area of the circular rug

The area of the circle is

$A=\pi r^{2}$

we have

$\pi =3.14$

$r=6/2=3\ ft$ ----> the radius is half the diameter

substitute

$A=(3.14)(3)^{2}$

$A=28.26\ ft^{2}$

step 3

Find out what percentage of the room is not covered by the rug

we know that

300 ft^2 represent the 100%

so

using proportion

Find out what percentage represent the difference (300-28.26)=271.74 ft^2

Let

x ----> the percentage not covered by the rug

$\frac{300}{100\%}=\frac{271.74}{x}\\\\x=100(271.74)/300\\\\x=90.58\%$

Convert to fraction form

$90.58\%=\frac{90.58}{100}$

Simplify

$\frac{4,529}{5,000}$

therefore

There are 271.74 ft^2 not covered by the rug

The percentage not covered by the rug is 90.58%

4 0

3 years ago

PLEASE HELP ME RN NO LINKS !!!