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aleksandrvk [35]
3 years ago
9

I need help on this question

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

The square on the outside of the triangles means the angle is 90. You need to find the base and the hight the divide by 2

Step-by-step explanation:

You might be interested in
In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volum
GaryK [48]

Answer:

The required volume is 5 ml.

Step-by-step explanation:

Given : In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volume means 0.080 mL of ethanol per 100 mL of blood and is considered proof of intoxication. If a person's total blood volume is 5.0 L.

To find : What volume of alcohol in the blood gives a blood alcohol level of 0.100 % by volume?

Solution :

According to question we use the formula,

\text{Present Volume}=\dfrac{\text{Vol}_{\text{Alcohol}}}{\text{Vol}_{\text{total}}}\times 100\%

The percentage of a blood alcohol level is 0.100%

The total volume of the blood is V=5L=5000 ml.

Substitute the value in the formula,

0.100=\dfrac{\text{Vol}_{\text{Alcohol}}}{5000}\times 100

\frac{0.100}{100}=\dfrac{\text{Vol}_{\text{Alcohol}}}{5000}

\text{Vol}_{\text{Alcohol}}=\frac{0.100\times 5000}{100}

\text{Vol}_{\text{Alcohol}}=5

Therefore, the required volume is 5 ml.

8 0
3 years ago
If you place a 10-foot ladder against the top of a 6-foot building, how many feet will the bottom of the ladder be from the bott
Anika [276]

Answer: 8 feet

Step-by-step explanation:

Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:

a^2 + b^2 = c^2

(building)^2 + (missing piece)^2 = (ladder)^2

6^2 + x^2 = 10^2

36 + x^2 = 100. subtract 36

x^2 = 64. square root of both sides

x = 8

6 0
3 years ago
What function equation is represented by the graph?
larisa [96]

Answer:

f(x)=1/4x-3

Step-by-step explanation:

y=mx+b

y-intercept is -3

-3=b

rise over round to find the slope

up 1 over 4

m=1/4

5 0
3 years ago
A boat sails on a bearing of 77 degrees for 135 miles and then turns and sails 207 miles on a bearing of 192 degrees. Find the d
Andrew [12]

Answer:

193.53 miles

Step-by-step explanation:

Please see the diagram for understanding of how the angles were derived,

Applying Alternate Angles, ABO =77 degrees

The bearing from B to C is 192=180+12 degrees

Subtracting 12 from 77, we obtain the angle at B as 65 degrees.

We want to determine the boat's distance from its starting point.

In the diagram, this is the line AC.

Applying Law of Cosines:

b^2=a^2+c^2-2acCosB\\b^2=207^2+135^2-2(207)(135)Cos65^\circ\\b^2=37453.8654\\b=\sqrt{37453.8654} \\b=193.53\: miles

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).

6 0
3 years ago
Solve for 2:<br> 2x + 62°<br> 52 + 38°<br> 2 =
Paladinen [302]

Answer:

The answer is 8°

Step-by-step explanation:

2x + 62° = 5x + 38°

2x – 2x + 62° – 38° = 5x – 2x + 38° – 38°

24° = 3x

3x = 24°

3x/3 = 24°/3

x = 8°

Thus, The value of x is 8°

<u>-TheUnknownScientist 72</u>

8 0
2 years ago
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