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spin [16.1K]
3 years ago
9

Can someone help me out?

Mathematics
1 answer:
stira [4]3 years ago
4 0

Answer:

  40 degrees

Step-by-step explanation:

A triangle solver tool can find the angle easily. It is 39.8°, which rounds to 40°. Apps are available on some calculators, on the Internet, and for iOS and Android phones and tablets.

___

You may be expected to solve this using the Law of Cosines. If we name the sides ...

  • a = 1.75
  • b = 3.00
  • c = 2.00

the law of cosines tells us the relationship is ...

  c² = a² + b² -2ab·cos(θ)

Then the angle is ...

  θ = arccos((a² +b² -c²)/(2ab)) = arccos((3.0625 +9 -4)/(2·1.75·3))

  = arccos(8.0625/10.5) ≈ 39.838° ≈ 40°

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Simplify this expression: 5/8m + 9 - 3/8m - 15
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Answer:   -   24m-1 / 4m

Step-by-step explanation:

3 0
3 years ago
A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The se
nydimaria [60]

Answer:

Number of units of first product = 112

Number of units of second product = 400

Step-by-step explanation:

Given that there are two products which are to be shipped.

<em>First product details:</em>

Unit volume = 10 cu ft

Weight of one unit = 50 lb

<em>Second product details:</em>

Unit volume = 3 cu ft

Weight of one unit = 40 lb

Total volume that can be carried by a truck = 2320 cu ft

Total weight that can be carried by a truck = 21600 cu ft

To find:

The number of units of each product that can be transported in one shipment in the truck?

Solution:

Let number of units of first product = x

Let number of units of second product = y

We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.

As per question statement, the equations can be written as:

10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow  5x+4y = 2160...... (2)

Multiplying equation (2) with 2 and subtracting equation (1) from it:

8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}

By equation (1):

10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}

Answer is:

Number of units of first product = 112

Number of units of second product = 400

6 0
2 years ago
the original cost of an item is $64 but u have to pay $78.08. what is the markup of the item (as percent)
8_murik_8 [283]

(new - original)/original = mark up

(78.08-64)/64= mark up

14.08/64 =mark up

.22 = mark up

multiply by 100 to get to a percent

mark up = 22 percent

8 0
3 years ago
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Answer: 13

Althoug each round trip takes 9 minutes and can carry 5 people on the boat, you can not just divide the 20 minutes time by 9 and multiply by 5 to find the number of people that are saved without getting wet.

First trip:

5 people take the boat to the island but only 4 can stay, because one has to return with the boat to the ship to rescue other 4 people.

So, when 9 minutes have passed, 4 people are safe on the island and the boat is again by the ship.

Second trip:

In the second trip, other 4 people are rescued,along with "sailor" who returned in the boat to rescue them.

When it has passed 18 minutes, the boat is next to the ship agin to carry other 4 people before the boat sinks.

This is the last trip before the boat sinks. So, the total number of passengers rescued is 4 + 4 +  5 = 13
8 0
3 years ago
Read 2 more answers
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