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1 year ago

Estimate the value of 96.8×9.74

Mathematics

2 answers:

Alenkinab [10]1 year ago

6 0

As an estimate it should be 1000

irina [24]1 year ago

3 0

Answer: Estimate : 1000 Exact : 942.83

Step-by-step explanation:

The estimate is 1000 because 96.8 is rounded to 100 and 9.74 is rounded to 10, so 100 times 10 is 1000. If you wanted the exact, then the exact is 942.83200, If you simplify this total, then the final answer is 942.83.

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Here is a test to how good your math is,

Marina CMI [18]

Answer:

Zero

Step-by-step explanation:

The distance AB is ...

... √((5-1)²+(5-2)²) = √(16+9) = 5

The largest right triangle that can be constructed with AB as the hypotenuse is one with an altitude of 5/2 = 2.5 units. Its area will be ...

... (1/2)·5·2.5 = 6.25 . . . . square units

It is not possible to construct the triangle ABC described.

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In order to achieve the given area, ∠C would need to be 87.75° or smaller. It could not be 90°.

7 0

3 years ago

Read 2 more answers

The combined area of two squares is 80 square centimeters. Each side of one square is twice as long as a side of the other squar

olganol [36]

Answer:

The length of each side of the larger square is 8 centimeter.

Step-by-step explanation:

Given:

The combined area of two squares is 80 square centimeters. Each side of one square is twice as long as a side of the other square.

Now, to find the length of each side of the larger square.

Let $s$ be the length of the smaller square.

So, the length of the larger square = $2s.$

Now, we find the areas of the square by putting formula:

The area of smaller square = length² $=s^2.$

The area of larger square = (length)² $=(2s)^2=4s^2.$

As, given:

The combined area of two squares is 80 square centimeters.

According to question:

$s^2+4s^2=80\\5s^2=80$

So, dividing both sides by 5 we get:

$s^2=16$

Using square root on both sides we get:

$s=4\ centimeter.$

And, to get the length of each side of the larger square we substitute the value of $s$ :

$2s=2\times 4=8\ centimeter.$

The length of larger square = 8 centimeter

Therefore, the length of each side of the larger square is 8 centimeter.

8 0

3 years ago

It cost 2.10 for a gourmet coffee shop to make a small latte.The price of a small latte is 2.94.What is the percent markup on th

lozanna [386]

Answer:

40%

Step-by-step explanation:

Given that :

Cost of production of small latte = 2.10

Sale price of small latte = 2.94

The Markup = Sale price of small latte - cost of production of small latte

The Markup = 2.94 - 2.10 = 0.84

Percentage Markup = (0.84 / 2.10) * 100%

Percentage Markup = 0.4 * 100% = 40%

5 0

3 years ago

Find the solution of 5 times the square root of the quantity of x plus 7 equals negative 10, and determine if it is an extraneou

PilotLPTM [1.2K]

5sqrt(x+7)=-10
Dividing both sides by 5:
5sqrt(x+7)/5=-10/5
sqrt(x+7)=-2
Squaring both sides of the equation:
[sqrt(x+7)]^2=(-2)^2
x+7=4
x+7-7=4-7
x=-3

Replacing in the original equation:
5sqrt(x+7)=-10
5sqrt(-3+7)=-10
5sqrt(4)=-10
5(2)=-10
10=-10 It's not equal, then x=-3 is an extraneous solution

7 0

3 years ago

PLZ HELP ill GIVE BRAINIESt!!!!20 Points

Ronch [10]

A) √50 = √(25 x 2) =√(5² x 2) = 5√2, what Jacklyn did is the other way round, instead of putting the perfect square out of the radical & keep the 2 inside, she inversed the sens of the operation

b) We have to find the square of the smaller & largest numbers that are near 50:

7² = 49 & 8² = 64==> so 49<50<64 & the number is between the square root of 7 & the square root of 8, but we also notice that 50 is very very near 49, hence let's try 7.1==> 7² = 7.1 x 7.1 = 50.41, which is a very good approximation. Then the approx. to √50 ≈ 50.41

7 0

3 years ago