Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.

This question is from the similarity chapter. It would be really kind of you if you would answer this question.

katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

1) Determine what is required for the answers

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

2) Prove similarity

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Angles AYX and ACB are corresponding and they both measure 90 degrees
Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

3) Solve for part A

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

$\frac{XY}{BC}=\frac{AY}{AC}$

Plug in known values

$\frac{2}{300}=\frac{11}{AC}$

Cross-multiply

$2AC=11*300\\2AC=3300\\AC=1650$

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

4) Solve for part B

To find the length of AB, we can use the Pythagorean theorem:

$a^2+b^2=c^2$ where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

$300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c$

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0

3 years ago

Estimate each the quotient 78÷4 is about _____÷4

KonstantinChe [14]

Answer:

80

Step-by-step explanation:

The trick is to pick something that should be very easy to get an answer to. If you use a calculator, you are not estimating. 80 divide by 4 is like 8 divide by 4 which gives you 2. Then just add a zero. Here's another one you can try. Put your calculator away to do it. 12 chicken noodle soup cans cost 14 dollars. About how much does 1 can cost

no cheating. No calculator. Is the cost of 1 can more or less than a dollar? If you said more, you've estimated correctly.

Try it the other way. Suppose one can of the soup costs 0.95 cents. How many will 12 cans cost? More or less than 12 dollars.

If you said less, you are estimating correctly. The most useful gift you can take away from any math class is estimation.

3 0

3 years ago

A) Enter the corresponding values on the quadratic formula:

ollegr [7]

The answer is a = 0, b = -5, and c= 39.

Step-by-step explanation:

step 1 :

A quadratic equation means that it should have at least one squared term.

step 2 :

The standard form is ax² + bx + c = 0.

step 3 :

The solution to the quadratic equation is usually written in the form

x = (-b ± √(b2 − 4ac))/(2a)

where a = coefficient of x^2

b = coefficient of x

c = constant term

step 4 :

The given equation is -5x +32.

∴ The answer is a = coefficient of x^2 = 0

b = coefficient of x = -5

c = constant term = 39

7 0

3 years ago

Allen built these figures using triangular tiles. What would

Klio2033 [76]

Answer:

The first one 10 units would be the perimenter of the tenth figure.

3 0

3 years ago

Read 2 more answers

Please help i will give brainliest

inysia [295]

Answer:

Step-by-step explanation:

Take the area of the yard and subtract from it the area of the pool. In quadratic form, the area of the pool is

$2x^2-x-28$

Subtracting the area of the pool from the area of the yard:

$3x^2-14x-5-(2x^2-x-28)$

Since the negative in front of the parenthesis will change the signs inside:

$3x^2-14x-5-2x^2+x+28$

Combine like terms to get the area left after the pool goes in:

$x^2-13x+23$

8 0

3 years ago