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3 years ago

Solve the following system of equations by using the substitution method.

Mathematics

2 answers:

lesya [120]3 years ago

5 0

Plz refer to the attachment..

natali 33 [55]3 years ago

4 0

X=10-2y
x=5y-1

10-2y=5y-1
10=7y-1
11=7y
11/7=y

x=5(11/7)-1
x=55/7-1
x=48/7

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A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after

Lelu [443]

Answer:

Option A; 74.3 feet

Step-by-step explanation:

~ Here we can see that this problem is set to be so that compound interest is applied ~

1. If compound interest is to be applied, it would be that the "20 percent" is the interest, the principle number ( start value ) ⇒ 12 feet in height, and the time is 10 years.

2. Let us approach this problem step by step. Instead of substiting values into a compound interest formula, let us simply attempt a variation of that process...

3. 20 percent is, in a decimal form, ⇒ 0.2

4. Now add 1 to this value 0.2, to get ⇒ 1.2

5. If we were to consider the formula, 1.2 would first be exponentially multiplied by itself 10 time, considering that it is to the power of 10 years. In other words ⇒ 1.2^10 = 6.191736422..........

6. Now let us multiply this infinite value 6.19...... by the principle quantity 12 feet ⇒ 6.191736422.......... * 12 = <em>(About) 74.30083707.......</em>

7. If we were to round this value, it would be to ⇒ 74.3 feet, or in other words the first option; <em>Option A</em>

6 0

2 years ago

All square numbers ends with ---------------------------- at units place . please find answer

nexus9112 [7]

Hello

All square numbers ends with 0,1,4,5,6 or 9 at units place.

4 0

3 years ago

Answer accordingly. ........................

Vitek1552 [10]

Answer:

Step-by-step explanation:

the pattern is adding the number to every whole number less than it. So if the start was 8, it would go 8+7+6+5+4+3+2+1, which is 36

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7 0

3 years ago

What is the value of x, rounded to the nearest degree? x ≈ ° According to the manufacturer, if the angle the ladder forms with t

DerKrebs [107]

The measure of the value of x is 70.52 degrees.

Given

A 12-foot ladder is placed 4 feet away from a house as shown.

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

<h3>What is cos angle?</h3>

The cos theta is defined as the ratio of the side adjacent to the angle and the hypotenuse.

The following formula is used to calculate the value of x;

$\rm Cosx=\dfrac{Side \ adjacent \ to \ angle}{Hypotenuse}\\$

Where the side adjacent to angle = 4 and hypotenuse is 12.

Substitute all the values in the formula;

$\rm Cosx=\dfrac{Side \ adjacent \ to \ angle}{Hypotenuse}\\\\\rm Cosx=\dfrac{4}{12}\\\\\rm Cosx=\dfrac{1}{3}\\\\x=Cos{-1}(\dfrac{1}{3}\\\\x= 70.52 \ degrees\\\\$

Hence, the measure of the value of x is 70.52 degrees.

To know more about Trigonometric ratios click the link given below.

brainly.com/question/3630461

5 0

2 years ago

Solve the following system by using the elimination method.<br> 2x + 2y = 8<br> 4x - 2y = 10

Rudik [331]

X = 3
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You can get this by adding straight through and the y terms will cancel. Then divide the x terms to get the answer. You can then plug that x into either equation to solve for y.

6 0

3 years ago

Read 2 more answers