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2 years ago

Evaluate each expression if f = –4, g = 2, and h = 7. h – f

Mathematics

2 answers:

skelet666 [1.2K]2 years ago

8 0

Answer:

Step-by-step explanation:

h - f = 7 - (-4) = 7 + 4 = 11

LenaWriter [7]2 years ago

7 0

Answer:

Hey there buddy I’m here too help you

Your answer is

h - f = 7 - (-4) = 7 + 4 = 11
so it’s must be 11

Hope it’s helps you

have a nice day

Good luck

Step-by-step explanation:

~FluffyBlueberry

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Beth is writing out the steps using the "Shortest Route Algorithm". She just finished writing out all

JulijaS [17]

Answer:

ACBD; 7

Step-by-step Explanation:

The Route Algorigtm finds the short route that is efficient, in order to find the solution following pathways.

From the pictures from the complete question,

STEP #1, there exist, three routes, which are:

AC,

and AD.

*AB is not viable because of the negative distance, so it can be removed .

* the AC distance is 3,and AD distance is 8. Therefore, AC can be selected and circled.is because of AC efficiency is high compare to AD.

*from selected AC, the possible routes are ACB; 3 and ACE; 6. which are route shown in #2

* ACB is circled, because it's more shorter than ACE

*The possible routes are ACBE; 8 and ACBD; 7. which are route shown in #3 . Therefore, route ACBD is circled because it's more shorter.

From the analysis of the algorithm, the route ACBD route is the shortest and the most efficient

5 0

3 years ago

Question 19 Only, Please show your work.<br><br> Solve the problem.

ankoles [38]

Answer:

$5\sqrt{2}$

Step-by-step explanation:

Draw a diagonal (line segment from one corner to the opposite corner). You'll form two right triangles with the diagonal being the hypotenuse of both triangles.

Use the Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2.

Let h represent the length of the hypotenuse.

$h^2 = 5^2+5^2\\h^2=25 + 25\\h^2 =50\\h=\sqrt{50}\\h=5\sqrt{2}$

The question is just a bit vague. It should say opposite corners. I'm assuming the question does not mean the length of one side!

5 0

2 years ago

Two lighthouses are located 75 miles from one another on a north-south line. If a boat is spotted S 40o E from the northern ligh

yuradex [85]

Answer:

The northern lighthouse is approximately $24.4\; \rm mi$ closer to the boat than the southern lighthouse.

Step-by-step explanation:

Refer to the diagram attached. Denote the northern lighthouse as $\rm N$ , the southern lighthouse as $\rm S$ , and the boat as $\rm B$ . These three points would form a triangle.

It is given that two of the angles of this triangle measure $40^{\circ}$ (northern lighthouse, $\angle {\rm N}$ ) and $21^{\circ}$ (southern lighthouse $\angle {\rm S}$ ), respectively. The three angles of any triangle add up to $180^{\circ}$ . Therefore, the third angle of this triangle would measure $180^{\circ} - (40^{\circ} + 21^{\circ}) = 119^{\circ}$ (boat $\angle {\rm B}$ .)

It is also given that the length between the two lighthouses (length of $\rm NS$ ) is $75\; \rm mi$ .

By the law of sine, the length of a side in a given triangle would be proportional to the angle opposite to that side. For example, in the triangle in this question, $\angle {\rm B}$ is opposite to side $\rm NS$ , whereas $\angle {\rm S}$ is opposite to side ${\rm NB}$ . Therefore:

$\begin{aligned} \frac{\text{length of NS}}{\sin(\angle {\rm B})} = \frac{\text{length of NB}}{\sin(\angle {\rm S})} \end{aligned}$ .

Substitute in the known measurements:

$\begin{aligned} \frac{75\; \rm mi}{\sin(119^{\circ})} = \frac{\text{length of NB}}{\sin(21^{\circ})} \end{aligned}$ .

Rearrange and solve for the length of $\rm NB$ :

$\begin{aligned} & \text{length of NB} \\ =\; & (75\; \rm mi) \times \frac{\sin(21^{\circ})}{\sin(119^{\circ})} \\ \approx\; & 30.73\; \rm mi\end{aligned}$ .

(Round to at least one more decimal places than the values in the choices.)

Likewise, with $\angle {\rm N}$ is opposite to side ${\rm SB}$ , the following would also hold:

$\begin{aligned} \frac{\text{length of NS}}{\sin(\angle {\rm B})} = \frac{\text{length of SB}}{\sin(\angle {\rm N})} \end{aligned}$ .

$\begin{aligned} \frac{75\; \rm mi}{\sin(119^{\circ})} = \frac{\text{length of SB}}{\sin(40^{\circ})} \end{aligned}$ .

$\begin{aligned} & \text{length of SB} \\ =\; & (75\; \rm mi) \times \frac{\sin(40^{\circ})}{\sin(119^{\circ})} \\ \approx\; & 55.12\; \rm mi\end{aligned}$ .

In other words, the distance between the northern lighthouse and the boat is approximately $30.73\; \rm mi$ , whereas the distance between the southern lighthouse and the boat is approximately $55.12\; \rm mi$ . Hence the conclusion.

4 0

3 years ago

If a triangle has side lengths of 5.6 yards, 7.1 yards, and x yards, find the range of possible values of x.

ANTONII [103]

Hi!

To find the range of possible values of x, we have to side 1 from side 2...

7.1 - 5.6 = 1.5

The smallest side x could be is 1.5.
Now add side 1 to side 2

7.1 + 5.6 = 12.7

The biggest side x could be is 12.7

So x could be anywhere from 1.5 to 12.7 (or, 1.5 < x < 12.7)

Hope this helps! :)

7 0

3 years ago

350/100 as a decimal and a percentage

Step2247 [10]

Decimal: 3.5 350 divided by 100 = 3.5 Percentage: 350% Move the decimal 2 times to the right 3.5 -> 350 Add a percent sign

3 0

3 years ago