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Ainat [17]
3 years ago
13

Can someone please explain to me how to do this?

Mathematics
1 answer:
kotykmax [81]3 years ago
8 0
I took a look but could figure it out sorry
You might be interested in
The diagram shows a 3 cm x 5 cm x 4 cm cuboid
Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since AB \perp BC, the length of segment AC is determined by Pythagorean Theorem, that is:

AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}

AC \approx 5.831\,cm

The length of segment AC is approximately 5.831 centimeters.

b) Since AB \perp BC \perp AD, the length of segment AD is determined by this Pythagorean identity:

AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}

AD \approx 7.071\,cm

The angle ACD is determined by the following trigonometric expression:

\cos C = \frac{AC}{CD}

\cos C = \frac{5.831\,cm}{7.071\,cm}

\cos C = 0.825

C = \cos^{-1} 0.825

C \approx 34.448^{\circ}

The angle ACD is approximately 34.448º.

4 0
3 years ago
Combine like terms to simplify the expression. 5x + 4 + 2x + 5 will give 20 if you can answer my next question
sp2606 [1]

5x + 4 + 2x + 5

First add the like terms.

You will get this: 7x + 9

And these can't be simplified anymore because they do not both go into the same multiple.

So your answer will be:

7x + 9

4 0
4 years ago
Help me!!!
nadya68 [22]

Step-by-step explanation:

You would start by using one of the equations to find y with x in the equation. You want to pick the easier one. I picked this one because it was evenly divisible.

5x+5y=50

5x=-5y+50

x=-y+10

Then you what to plug that in to the second equation and solve for y.

3(-y+10)+4y=32

-3y+30+4y=32

-3y+4y=2

y=2 (because you combined like terms)

Then you would plug back into the first equation and solve for x.

5x+5(2)=50

5x+10=50

5x=40

x=8

x=8, y=2

8 0
4 years ago
A car travels at 49 km/hour how far does it travel in a 12 hour day​
marta [7]

Answer:   2.88 km.

Step-by-step explanation:

We will discuss here how to find the distance when speed and time are given.

When speed and time are given, the distance travelled is calculated by using the formula:

Distance = Speed × Time

The unit of time in speed should be the same as that of the given time.

Solved examples to calculate distance when speed and time are given:

1. How much distance will be covered in 5 hrs at a speed of 55 km per hour?

Solution:

Distance covered in 1 hour = 55 km.

We know, Distance = Speed × Time

Distance covered in 5 hrs = 55 × 5

                                  = 275 km.

Therefore, distance covered in 5 hrs = 275 km.

2. A bus travels at a speed of 45 km/hour. How far will it travel in 36 minutes?

Solution:

Speed = 45 km/hour

Time = 36 minutes

      = 36/60 Hour (Since we know, 1 hour = 60 minutes)

      = 3/5 hour

Distance = speed × time

           = 45 × (3/5) km

           = (45 × 3)/5 km

           = 27 km.

3. How much distance will be covered in 7 hrs at a speed of 62 km per hour?

Solution:

Distance covered in 1 hour = 62 km.

We know, Distance = Speed × Time

Distance covered in 7 hrs = 62 × 7

                                     = 434 km.

Therefore, distance covered in 7 hrs = 434 km.

4. Mike drives his car at a speed of 70 km per hour. How much distance will he cover in 3 hours 30 minutes?

Solution:

Speed of the car = 70 km/hr

Time taken         = 3 hours 30 minutes

                        = 3 ½ hours.

Distance covered in 1 hour = 70 km

Distance covered in 3 ½ hour = 70 × 3 ½ km

                                          = 70 × 7/2 km

                                          = 245 km.

5. How much distance will be covered in 1 ½ hour at a speed of 32 m per minute?

Solution:

[1 ½ hr = (60 + 30) minutes = 90 minutes].

Distance covered in 1 minute = 32 metres.

Distance covered in 90 minutes = 32 × 90 = 2880 m.

We know, 1 m = 1/1000 km.

                     = 2880/1000 km.

                     = 2.88 km.

Hope this helps!

5 0
2 years ago
The probability that Janice will attend math class today is 62%. The probability that Ellie will attend math class if Janice att
QveST [7]
A belive? I'm 89% sure

8 0
3 years ago
Read 2 more answers
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