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3 years ago

Sean took 6 tests and currently has an average of a 90. His range of his scores was 18 and the mode of the test scores is 89.

Mathematics

2 answers:

Sedaia [141]3 years ago

8 0

Answer:

Below.

Step-by-step explanation:

Total scores = 6*90 = 540.

He had more than one 89 ( mode) and max score - min score = 18.

Let max score = x then min = x-18.

Lets say he has 3 89's then

x + x - 18 + 3*89 + y = 540 where y is another score then:

2x + 249 + y = 540

2x + y = 291

x = 98 and y = 95 will fit this so the 6 scores could be

80, 89, 89, 89, 95, 98.

horrorfan [7]3 years ago

4 0

Answer:

what is the question?

Step-by-step explanation:

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In the triangle below, find the measurements of the unknown angles.

LUCKY_DIMON [66]

Answer:

E. 35°, 70°

Step-by-step explanation:

Sum of angles add up to 180° in every triangle.

Step 1: Set up equation

a + 2a + 75 = 180

Step 2: Combine like terms

3a + 75 = 180

Step 3: Subtract 75 on both sides

3a = 105

Step 4: Divide both sides by 3

a = 35

So 1 angle is 35°

Step 5: Plug in a to find last angle

2(35) = 70°

7 0

3 years ago

John likes to hike during the summer he can usually hike about 3 miles every hour but when it's really hot he swims in a mountai

Nastasia [14]

During the 9 mile hike he spends 2 periods of half hour swimming = 1 hour.
actual hiking time = 3*3 = 9 hours

So total time = 9+1 = 10 hours

8 0

3 years ago

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

The building is 61.5 m tall

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0

3 years ago

56: =24:3

dmitriy555 [2]

56:7=24:3
3x3=27:3
8x2=64:4
45:9=35:7
4x5=10x2
42:6=63:9
28:4=7x1
2x2=36:9

5 0

3 years ago

Help WILL GIVE BRAINLIEST!!!

aleksandrvk [35]

Answer:

The correct choice is the third answer.

Step-by-step explanation:

The arrow on top of the letters means that they would be parallel. If you look closely at the diagram, you can see that both QR and TU go in the same direction and will never intersect.

5 0

3 years ago