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Simora [160]
3 years ago
6

Write 300 + 90 + 4 + 0.5 + 0.07 in standard form

Mathematics
2 answers:
satela [25.4K]3 years ago
7 0
300+90+4+0.5+0.07 \to \boxed{394.57}
asambeis [7]3 years ago
5 0
394.57 your welcome I am a bdjshdyjrhruy
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7.5% of what number is equal to 85% of 200?
Ksivusya [100]
Solving:

\frac{7.5}{100} *x =  \frac{85}{100} * 200

\frac{7.5x}{\diagup\!\!\!\!\!\!\!\!100} = \frac{17000}{\diagup\!\!\!\!\!\!\!\!100}
7.5x = 17000
x =  \frac{17000}{7.5}
x = 2266.6666... \:\to \boxed{\boxed{x \approx 2266.67}}\end{array}}\qquad\quad\checkmark
8 0
3 years ago
Read 2 more answers
Silvio is an air-traffic controller who must calculate the altitude of an incoming plane. He sees the plane at an angle of eleva
Mrac [35]
Since the problem is not telling us the height of Silvio, we are going to assume it is not relevant for our calculations.
Let h the altitude of the incoming plane. We know for our problem that the distance between Silvio and the tower is 3 miles, Also we know that the angle of elevation to the plane is 40°. With this information we can create a triangle as shown in the figure. We need a function that relates the angle of elevation with its opposite and adjacent sides, that function is tangent.
tan \alpha = \frac{opposite.side}{adjacent.side}
tan(40)= \frac{h}{3}
h=3tan(40)
h=2.5miles

We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is h=3tan(40).

4 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
Use the distributive property to factor the expression below.
Tems11 [23]

Answer:

D. 5(x^2+5)

Step-by-step explanation:

5x^2+25

Viewing the two terms 5 is divisible by both

5X^2/5 +25/5

X^2+5

Therefore the equation will be represented by

5(x^2+5)

4 0
3 years ago
I need help with this please
natka813 [3]

Answer:

Step-by-step explanation:

Antelope, Montana:  

    21, 30, 42, 58, 70, 79

Range- 58     79-21= 58

Quartile 1- 30

Quartile 3- 70

Interquartile Range- 40     70-30= 40

Augusta, Maine:

    28, 32, 41, 53, 66, 75

Range- 47

Quartile 1- 32

Quartile 3- 66

Interquartile Range- 34

3 0
3 years ago
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