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3 years ago

Work out the height of a triangle with base b= 7.7mm and area a=164.78mm2

Mathematics

1 answer:

solong [7]3 years ago

5 0

Answer:

21.4 mm

Step-by-step explanation:

area ÷ base = height

164.78 mm^2 ÷ 7.7 mm

21.4 mm

Check:

base • height = area

7.7 mm • 21.4 mm = 164.78 mm^2

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Paul bought 4 goldfish at 50¢ each and 7 angelfish at 70¢each.

vichka [17]

Goldfish: 4*0.50=2 so $2.00
Goldfish: 7*0.70=4.90
4.90.2.00=$6.90

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3 years ago

Read 2 more answers

Oshua's mother has a family Christmas gathering at 2:00. Joshua must travel 348 miles to join the festivities. He left his house

gavmur [86]

Answer:

58 miles/hour

Step-by-step explanation:

Given that the family Christmas gathering has been scheduled at 2:00 p.m.,

and Joshua left the house at 8:00 a.m.

So, the total time available in order to arrive on time to attend the Christmas gathering, t=6 hours

The total distance, Joshua has to travel, d= 348 miles.

As average speed= (total distance)/(total time)

So, the average speed of driving = 348/6=58 miles/hour

Hence, Joshua must drive at an average speed of 58 miles/hour in order to arrive on time.

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3 years ago

What is the equation of the circle with center (−3, 1) that passes through the point (−5, 3)?

Mariulka [41]

Answer:

( x + 3)^2 + ( y - 1)^2 = 8

Step-by-step explanation:

The equation of a circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( x , y) - any point on the circle

( a, b) - center of the circle

r^2 - radius of the circle

( -3 , 1) - center - ( a, b)

a = -3

b = 1

( -5 , 3) - point - ( x, y)

x = -5

y = 3

Step 1: substitute the center into the equation

( x -(-3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + ( y - 1)^2 = r^2

Step 2 : sub the point into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( -5 + 3)^2 + ( 3 - 1)^2 = r^2

(-2)^2 + 2^2 = r^2

4 + 4 = r^2

8 = r^2

Step 3 : sub the radius into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + (y - 1)^2 = 8

Therefore, the equation of the circle is

( x + 3)^2 + (y - 1)^2 = 8

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3 years ago

What does AC=?<br> Round your answer to the nearest hundredth. <br><br> Please help

faltersainse [42]

Answer: About 3.06

Step-by-step explanation:

We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.

Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.

cos(θ) = $\frac{adjacent}{hypotenuse }$

cos(40) = $\frac{x}{4}$

0.766 ≈ $\frac{x}{4}$

3.06 ≈ x

x ≈ 3.06

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2 years ago

Dividing with decimals

horrorfan [7]

Here's an example: I hope this helps you out

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3 years ago