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Ierofanga [76]
3 years ago
5

Find the measure of an angle such that the difference between the measures of its supplement and four times its complement is 30

Mathematics
1 answer:
Katarina [22]3 years ago
7 0

Answer:

70 degrees

Step-by-step explanation:

x = angle

180 - x = it's supplement

90 - x = it's compliment

(180 - x) - 4(90 - x) = 30

180 - x - 360 + 4x = 30

reducing

3x = 210

x = 70

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It took the high school hockey team 5h to travel to a tournament in Thunder Bay. They travelled by bus and plane a total distanc
mote1985 [20]
Entire distance = 1,320
Entire time = 5 hours

bus avg = 40 km/h
plane avg = 600 km/h

Working this by trial and error
1 hour bus 4 hour plane = 40 + 2,400 = 2,800 distance (too high)
2 hour bus 3 hour plane = 80 + 1,800 = 1,880 distance (too high)
3 hour bus 2 hour plane = 120 + 1,200 = 1,320 distance (Correct!!)

So, they traveled 3 hours by bus and 2 hours by plane
(yes, you had the right answer).

8 0
3 years ago
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katen-ka-za [31]

Answer:

B. $5039.58

Step-by-step explanation:

compound interest formula: amount = p(1 + \frac{r}{n})^{nt}

p= principal ($2,300)

r= interest rate as a decimal (4% = 0.04)

n= number of times the principal is compounded per year (annually = onceper year so 1 time per year)

t= time in years (20 years)

new equation: amount = 2300(1+\frac{0.04}{1} )^{1*20}

That equation equals $2,739.58 which you add to the principal.

$2,739.58 + $2,300 = $5039.58

hope this helps :)

7 0
3 years ago
Read 2 more answers
Which word best describes the slope of the line?
kramer

Answer:

B

Step-by-step explanation:

• A line sloping upwards from left to right has a positive slope

• A line sloping downwards from left to right has a negative slope

The line shown here slopes downwards from left to right, hence has a negative slope → B


6 0
3 years ago
Trigonometry, can anybody help??
WINSTONCH [101]

Answer:

angle B: 39

AC: 7.288

AB: 11.58

(note: you cut off the part about rounding so make sure that it's rounded correctly before you put in your answer)

Step-by-step explanation:

To solve this we will use SOH, CAH, TOA

we have the angle and the one opposite to it which means we can use either SOH or TOA

let's use TOA

tan(51)=(9/x)

x= 7.288

We can now use pahtagaryous theroem to solve for the hyptonouse

we have

9²+7.288²=C²

C=11.58

Finally, to find angle B we will recall that the angles of a triangle must add to 180.

51+90+a=180

a=39

5 0
3 years ago
Write the function for the graph
Kruka [31]

Answer:

Option A is correct.

The function for the given graph is;

f(x)=2\cdot 4^x

Step-by-step explanation:

An exponential function is in the form of y =ab^x ......[1] where a is the initial value and b≠ 0 , b >1 .

Given two points as shown in figure i.e,

let A = (0, 2) and B = (1,8)

Substitute these points in equation [1] we have;

For A = (0,2)

2 = ab^0 = a

⇒ a = 2

and

for B = (1, 8)

8 = ab^1

or

ab = 8

Substitute the value of a=2 in above equation to solve for b;

2b = 8

divide both sides by 2 we get;

b = 4

Then, the function for the graph is, y=f(x)=2\cdot 4^x


3 0
3 years ago
Read 2 more answers
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