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forsale [732]
3 years ago
7

A first number plus twice a second number is 24. twice the first number plus the second totals 21. find the numbers.

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0
We do like the following:
Set the first number is a and the second is b.
We have two equations: a+2xb=24, 2xa+b=21
And we have 2xa+4xb=48 or 2xa=48-4xb
So: 48-4xb+b=21 or -3xb=21-48=-27 and we got b=-27:(-3)=9 and a= 6
a=6 and b=9
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Step-by-step explanation:

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What is the side length of the eectagkes
dedylja [7]

1. 5 in and 1/3 in: Area = 5/3 in^2

2. 5 in and 4/3 in: Area= 20/3 in^2

3. 5/2 in and 4/3 in: Area=10/3 in^2

4. 7/6 in and 6/7 in: Area = 1 in^2

Step-by-step explanation:

<u>1. 5 in and 1/3 in</u>

Here,

Let\\l=5\\w=\frac{1}{3}\\Area=l*w\\=5*\frac{1}{3}\\=\frac{5}{3}\ in^2

<u>2. 5 in and 4/3 in</u>

Here,

l= 5\ in\\w=\frac{4}{3}\ in\\Area=l*w\\=5*\frac{4}{3}\\=\frac{20}{3}\ in^2

<u>3. 5/2 in and 4/3 in</u>

let\\l=\frac{5}{2}\\w=\frac{4}{3}\\Area= \frac{5}{2}*\frac{4}{3}\\=\frac{20}{6}=\frac{10}{3}\ in^2

<u>4. 7/6 in and 6/7 in</u>

<u>Let</u>

l=\frac{6}{7}\\w=\frac{7}{6}\\Area=l*w\\=\frac{6}{7}*\frac{7}{6}\\=1\ in^2

<u>Hence,</u>

1. 5 in and 1/3 in: Area = 5/3 in^2

2. 5 in and 4/3 in: Area= 20/3 in^2

3. 5/2 in and 4/3 in: Area=10/3 in^2

4. 7/6 in and 6/7 in: Area = 1 in^2

Keywords: Rectangle, Area

Learn more about rectangles at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

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3 years ago
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Set up fractions and solve them
7 0
3 years ago
The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x
GarryVolchara [31]

Answer:

85.1 ft

Step-by-step explanation:

The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x

We solve using the Trigonometric function of Cosine

cos y = adjacent/hypotenuse

y = angle = 20°

Adjacent = 80 ft

Hypotenuse = ?

cos 20 = 80/Hypotenuse

Hypotenuse = 80/cos 20

x = 85.134221798 ft

Approximately = 85.1 ft

Length of the slide = 85.1 ft

3 0
3 years ago
Please solve and show all steps
Fofino [41]
The Measure of the Missing Angles can be found by this formula: x+y+z= 180°.
You already know the measure of 1 Angle, which is 30°, right?
You also know that this Triangle is a Right Triangle, so the Square for One Angle indicates that the Angle is 90°.
y= 90°, and z= 30°, and you know that the Total Measure of any Triangle is 180° Total.
90°+30° = 120°, and 180°-120°= 60°, so finally, x= 60°, and y=90°, and z= 30°.
4 0
3 years ago
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