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3 years ago

Write two integers which are smaller than -5 but their difference is -5

Mathematics

1 answer:

olga55 [171]3 years ago

7 0

Answer:

-19-(-14)=-5

Step-by-step explanation:

-19-(-14), This is just one of many examples, both integers are smaller than -5 but when you find the difference between two negative numbers, the negative sign cancels out and

-19-(-14) becomes -19+14.

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Whats 1+11111111111111111111111

yan [13]

Answer:

11111111111111111111112

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4 years ago

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The angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees. How much higher will the to

Sav [38]

Answer:

44.73 m

Step-by-step explanation:

Given that the angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees.

Using trigonometry ratio, the height of the tower can be calculated by

Tan Ø = height / base

Tan 25 = height / 120

Make height the subject of formula

Height = 120 × tan 25

Height = 55.96 m

How much higher will the tower need to be raised so that its angle of elevation from the same point will be 40 degrees?

Using the same formula to calculate the new height.

Tan 40 = new height / base

Tan 40 = new height / 120

Make the new height the subject of the formula.

New height = 120 × tan 40

New height = 100.69 m

Increase in height = new height - height

Increase in height = 100.69 - 55.96

Increase in height = 44.73m

Therefore, the tower will need 44.73m to be raised so that its angle of elevation from the same point will be 40 degrees.

4 0

3 years ago

Please help me with number 7

Makovka662 [10]

Answer:

Caleb arrived first 2 hours before Alyssa

Step-by-step explanation:

To solve the situation, find the speed per hour they were driving by dividing the distance they drove by the time it took.

Alyssa drove 105 miles in 3.5 hours or 105/3.5 = 30 miles per hour.

Caleb drove 168 miles in 4 hours or 168/4 = 42 miles per hour.

Since they both left at the same time and drove the same 210 miles to the beach, Caleb arrived first since he was driving faster.

He arrived in 210/42 = 5 hours.

Alyssa arrived in 210/30 = 7 hours.

He arrived 2 hours before her.

8 0

3 years ago

A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed betwe

Wewaii [24]

The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.

<h3>How to calculate the volume of a hemisphere?</h3>

The volume of the hemisphere is calculated by using the formula,

= $\frac{2}{3}$ × π × r³ cubic units

where r is the radius of the hemisphere.

<h3>Calculation:</h3>

It is given that,

A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.

So, the volume of the bowl is

V = $\frac{2}{3}$ × π × (1)³

= $\frac{2}{3}$ × π cubic feets

The volume of each smaller hemisphere-shaped mold = $\frac{2}{3}$ × π × r³ cubic units

So, for 27 molds, the volume = 27 × $\frac{2}{3}$ × π × r³ cubic units

All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.

Then,

$\frac{2}{3}$ × π = 27 × $\frac{2}{3}$ × π × r³

⇒ r³ = 1/27

⇒ r = 1/3 ft

Therefore, the required radius of each of the smaller molds is 1/3 foot.

Learn more about the volume of a hemisphere here:

brainly.com/question/15975126

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2 years ago

You put $800 in an account that earns 4% simple interest. Find the total amount in your account after each year for 3 years. (Pl

alexandr402 [8]

To get 4% of 800 you times 800 by 4 and divide it by 100. Once you have that amount you add it to 800 to find the amount you will have in your bank the first year. To get the next year's amount you then get 4% of 832(because after the first year you have more than $800) and then add the 4% to 832, that is the answer for the second year. To find the third year's amount you get 4% of the new amount (last year's total) and add it to last year's total, that is your total for the third year. So the first year will be: (800x4÷100)+800 =32+800 =832 The second year will be: 832+(832x4÷100) =832+33.28 =865.28 The third year will be: (865.28×4÷100)+865.28 =34.61(rounded off)+865.28 =899.89

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4 years ago

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Write two integers which are smaller than -5 but their difference is -5 ​

Write two integers which are smaller than -5 but their difference is -5