All categories

2 years ago

Please help with this question!

Mathematics

1 answer:

Nutka1998 [239]2 years ago

8 0

Answer:

a=sqrt[50]; ?=50

Step-by-step explanation:

Using the Pytagorean theorem in the right triangle:

A^2+B^2=C^2, with A=a, B=a, and C=10

Replacing in the formula:

a^2+a^2=10^2

Adding like terms:

2a^2=100

Solving for a: Dividing both sides of the equation by 2:

2a^2/2=100/2

a^2=50

Square root both sides of the equation:

sqrt(a^2)=sqrt(50)

a=sqrt(50)

You might be interested in

The length of a rectangle is three times its width.

Igoryamba

96 divided by 4 is 24
3times 24 is72
And 72 is 3 times 24
And 72plus 24 is 96
So your answer is length 72
Wide24

8 0

2 years ago

Please help, I will mark you brainiest, thank you’

stich3 [128]

Answer:

Step-by-step explanation:

6 0

2 years ago

Julio and David were in Target and decided to check out the clearance section. They found pencils and erasers that were on sale

Sati [7]

Answer:

Cost of one pencil: $\$0.07$

Cost of one eraser: $\$0.03$

Step-by-step explanation:

Let be "p" the cost in dollars of one pencil and "e" the cost in dollars of one eraser.

Based on the information given in the exercise, you can set up the following system of equations:

$\left \{ {{4p+3e=0.37} \atop {3p+4e=0.33 }} \right.$

You can use the Elimination Method to solve the system of equations.

Multiply the first equation by -3 ad the second one by 4. Then add the equations and solve for "e":

{ $\left \{ {{-12p-9e=-1.11} \atop {12p+16e=1.32}} \right.\\..........................\\7e=0.21\\\\e=0.03$

Substitute the value of "e" into any original equation and solve for "p":

$4p+3(0.03)=0.37\\\\p=\frac{0.28}{4}\\\\p=0.07$

5 0

2 years ago

How many pounds of mixed nuts that contain 70% peanuts must Shannon add to 15 pounds of mixed peanuts that contain 20% peanuts t

Degger [83]

Answer:

10 pounds.

Step-by-step explanation:

Let x pounds be the amount of mixed nuts we require.

Amount of peanuts in this mix = 0.70x pounds. Amount of peanuts in the 20% mix = 0.20*15 = 3 pounds.

So we have the equation:-

0.70 x + 3 = 0.40(x + 15)

0.70x + 3 = 0.40x + 6

0.70x - 0.40x = 6 - 3

0.30x = 3

x = 10.

8 0

3 years ago

Chloe is painting on a stretched canvas that has an area of 108 square inches. The length of the canvas is 12 inches. The width

Stolb23 [73]

Answer: Width of canvas = 9 inches

Area left for painting after painting the border = 70 square inches.

Explanation :

Since we have given that

Area of painting = 108 square inches

Length of canvas = 12 inches

As we know that

$\text{Area of rectangle} = length\times breadth$

$108=12\times breadth\\\\\frac{108}{12}=breadth\\\\9=breadth$

So, breadth of canvas = 9 inches .

Now, Chloe paints a 1 inch wide blue border on the canvas.

$\text{So, remaining length left for painting after painting the border} = 9-1-1=9-2=7\text{ inches}$

$\text{ Remaining breadth left for painting after painting the border }= 12-1-1=12-2= 10\text{ inches}$

$\text{So , area of remaining portion }= length\times breadth \\\\ \text{ area of remaining portion }=7\times 10\\\\\text{ area of remaining portion }=70 \text{ square inches}$

Hence, remaining area = 70 square inches .

6 0

2 years ago