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nevsk [136]
3 years ago
15

The low temperature in Anchorage, Alaska today was -4°F. The low

Mathematics
1 answer:
Orlov [11]3 years ago
7 0

Answer:

67°F

Step-by-step explanation:

-4-63 = - 67°F

Therefore temperature difference=67

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Determine the solution to the system of equation below, algebraically. <br> 5x+3y=28<br> x+y=8
VladimirAG [237]

Is this what you're asking for?

5 0
3 years ago
Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3
Yuki888 [10]

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051  degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

6 0
3 years ago
The sum of two numbers is 53. if twice the first number minus three times the second number is 26, find both numbers.
EastWind [94]
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53   (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a -  3b = 26
------------------- - (substract)
       5b = 80
         b = 80/5
         b = 16

Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37

The numbers are 16 and 37</span>
6 0
3 years ago
What is the area of this composite shape?<br> Enter your answer in the box.
bonufazy [111]

Answer:

The answer to your question is:  53 in²

Step-by-step explanation:

Area = ?

Process: divide the shape in one rectangle and one triangle.

Area of rectangle

                            A = base x height

                            A = 8 x 6

                            A = 48 in²

Area of rectangle

                          base = 13 - 8

                                   = 5 in

                          height = 6 - 4

                                     = 2 in

                          Area = (b x h) / 2

                                   = (5 x 2) / 2

                                   = 10 / 2

                                   = 5 in²

Total area = 48 + 5 = 53 in²

3 0
3 years ago
What is the remainder of 67 divided by 3?
hammer [34]
The remainder for 67 divided by 3 would be 1 because (this might be a bad explanation since i'm not good at explaining math without showing u my work) if u do divide 6 by 3, 3x2 is 6 and 6-6 is 0. Then if u divide 7 by 3, then 6 is the closest u can get to 7 without multiplying by a decimal. Then if u do 7-6, u get 1 and u cant divide 1 by 3 so the remainder would be 1. 
8 0
3 years ago
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