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Elenna [48]
3 years ago
13

What is the rate? this is so hard

Mathematics
1 answer:
inysia [295]3 years ago
4 0
You have it so easy
You might be interested in
Please answer this question now
almond37 [142]

Answer:

98.1km²

Step-by-step explanation:

The name of the Triangle in this question is: WXV

In the question, we have:

Angle W = ? Unknown

Angle X = 119°

Angle V = 34°

Side w =?

Side x = 26km

Side v = ?

Step 1

We have to find the missing third angle = Angle W

Sum of angles in a triangle = 180°

= Angle W = 180° - (119 + 34)°

= 180° - 153°

Angle W = 27°

Step 2

Find the sides w and v using the sine rule

Sine rule =

a/ sin A = b/ Sin B

Hence for triangle WXV

w/ sin W = x/ sin X = v/ sin V

We have the following values

Angle W = 27°

Angle X = 119°

Angle V = 34°

We are given side x = 26km

a) Finding side w

w/ sin W= x/ sin X

w/sin 27 = 26/sin 119

Cross Multiply

sin 27 × 26 = w × sin 119

w = sin 27 × 26/sin 119

w = 13.49587km

w = 13.5km

b) Finding side v

x / sin X= v/ sin V

26/ sin 119 = v/sin 34

Cross Multiply

sin 119 × v = 26 × sin 34

v = sin 34 × 26/sin 119

v = 16.62324km

v = 16.62km

Step 3

Detemine the area of triangle WXV

We make use heron formula

= √s(s - w) (s - x) (s - v)

Where s = w + x + v/ 2

s = (13.5 + 26 + 16.62)/2

s = 56.12/2

s = 28.06

Area of the triangle = √28.06× (28.06 - 13.5) × (28.06 - 26 ) × (28.06 - 16.62)

Area of the triangle = √9628.137559

Area of the triangle = 98.123073530337km²

Approximately to the nearest tenth =98.1km²

7 0
2 years ago
It's been estimated that if you consume an extra 3,500 calories, you will gain 1 pound of fat. one can of soda contains 40 grams
timama [110]
We know that
1 can of soda---------------> <span>40 grams of sugar
if 1 gram sugar------------------------------------>has 4 calories
40 grams (1 can of soda)-----------------------> X
X=40*4=160 calories
then 
1 can of soda--------------> has 160 calories
</span><span>six-pack of soda every day--------------> 6*160=960 calories every day

in one year------------> 960*365=350400 calories in one year

if 3500 calories----------------> </span><span>1 pound of fat
</span>350400 calories----------------X
X=350400/3500=100.11 pound
In one year she or he will gains 100.11 pound of fat

the answer is 100.11 pound
8 0
3 years ago
What is the answer for this problem I need help!
Ksenya-84 [330]

Answer:

x = 6 cm

Step-by-step explanation:

We can write equations for length and width using the information given:

length = 2 + x

width = 2x - 5

Area = (length)(width) = 56

Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x

Simplifying:

Area = 2x² - x - 10 = 56

2x² - x - 66 = 0

Factoring:

(2x + 11)(x - 6) = 0

x = 6, -11/2

We choose the positive number: x = 6 cm

To check, plug in 6 for x:

Area = (2 + x)(2x - 5) = 56

(2 + 6)(12 - 5) = 56

(8 × 7) = 56

56 = 56

8 0
2 years ago
Mr. Ramirez gave his class
Angelina_Jolie [31]

Answer:

38 pages per hour

Step-by-step explanation:

Rate of reading = \frac{\text{Total number of pages read by Davida}}{\text{Time taken to read}}

By substituting the given values in the question,

Total number of pages read by Davida = 28\frac{1}{2} = \frac{57}{2}

Time taken by Davida = 45 minutes

Since, 1 minute = \frac{1}{60} hours

Therefore, 45 minutes = \frac{45}{60}=\frac{3}{4} hours

Rate of reading = \frac{\frac{57}{2}}{\frac{3}{4} }

                          = \frac{57}{2}\times \frac{4}{3}

                          = 38 pages per hour

Therefore, rate of reading by Davida is 38 pages per hour.

6 0
3 years ago
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What
Gekata [30.6K]

Answer:

68

ignore the rest of this i need 20 charecters

7 0
2 years ago
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