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3 years ago

(2^8 . 5-5. 19^0)-2. What is the product

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

8 0

Answer:The final value of the expression is 149

2^8 . 5^-5 . 19^0)^-2

using PEMDAS

this = (2^8 * 1/5^5 * 1)^-2

= (5^5 / 2^8)^2

= 5^10 / 2^16

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Aliyah started with 18 pieces

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4 years ago

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What is 39% of 921? Btw good morning to everybody!

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Answer:

359.19 And good morning to you

Step-by-step explanation:

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3 years ago

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The area of the triangle is 35 square feet. Use a quadratic equation to find the length of the base. Round your answer to the ne

Vesnalui [34]

Answer:

10.6 ft

Step-by-step explanation:

The complete question is:

The area of the triangle is 35 square feet. Use a quadratic equation to find the length of the base. Round your answer to the nearest tenth.Base=x+4 Height=x

SOLUTION:

As you know, Area of triangle 'A' = 1/2 x b x h

Where,

Base 'b' = x+4

Area 'A' = 35 ft²

Height 'h'= x

35 = (1/2)(x+4)x

35 =(x² + 4x)/2

2 * 35 =x² + 4x

70 = x² + 4x

x² + 4x - 70=0

Formula for the quadratic equation is

x = [- b ± √(b² - 4ac)]/2a

Where,

a=1, b= 4, c=-70

Plugging in the values.

x = [- 4 ± √4² - (4 × 1 × - 70)] / (2 × 1 )

x = [- 4 ± √(16 + 280)]/2

x = [- 4 ± √296]/2

x = (- 4 + 17.2)/2 or x = (- 4 - 17.2)/2

x = 13.2/2 or x = - 21.2/2

As, we choose to ignore negative value of 'x'

Therefore, x = 13.2/2 = 6.6

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3 years ago

The Jenkins family and the Alexander family each used their sprinklers last summer. The water output rate for the Jenkins

garik1379 [7]

Answer:

Jenkins: 25 hours Alexanders: 20 hours

Step-by-step explanation:

To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.

We can make a represent hours because we know the rate of sprinkler's output is per hour.

25a+40b=1425

a+b=45

Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.

a+b=45

a=45-b

Now we can plug this in for a in the other equation.

25a+40b=1425

25(45-b)+40b=1425

Distribute 25 into the parenthesis.

1125-25b+40b=1425

1125+15b=1425

15b=300

b=20

Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.

a+b=45

a+20=45

a=25

The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.

3 0

3 years ago

Find the base of a triangles in

Alexus [3.1K]

The base of triangle is 24 inches whose area is 2.75 sq. feet

Solution:

Given, area of a triangle is 2.75 square feet and its height is 33 inches.

We have to find its base length in inches.

So let us convert area units from feet to inches.

Area = 2.75 square feet = 2.75 $\times$ ft $\times$ ft

= 2.75 $\times$ 12 inches $\times$ 12 inches

[since 1 foot = 12 inches ]

= 2.75 x 144 $\times$ $in^2$

Area = = 396 $in^2$

Area of triangle is given as:

$\text {area}=\frac{1}{2} \times \text { base } \times \text { height }$

$\begin{array}{l}{396= \frac{1}{2} \times \text { base } \times 33} \\\\ {2 \times 396=\text { base } \times 33} \\\\ {792=\text { base } \times 33} \\\\ {\text { Base }=\frac{792}{33}=24}\end{array}$

Hence, the base of the triangle is 24 inches

5 0

3 years ago