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2 years ago

2:10:16 ratio simpification (I know the answer, but i need the working)

Mathematics

1 answer:

likoan [24]2 years ago

5 0

Step-by-step explanation:

2:10:16=2/10=1/5÷16

 $1 \div 5 \div 16$ 

1/5×1/16

=1/80

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An amount of $40,000 is borrowed for 11 years at 7 5% interest compounded annually. If the loan is paid in full at the end of th

valina [46]

Amount to be paid back = $ 88,624.36

Step-by-step explanation:

Principal amount = $ 40,000

Rate of interest = 7.5%

Number of years = 11

$A=P\left(1+\frac{r}{n}\right)^{n t}$

Plugin the values as,

$A=40000\left(1+\frac{7.5}{100}\right)^{11}$

$A=40000(1+0.075)^{11}$

$A=40000(1.075)^{11}$

$A=\$ 88,624.36$

6 0

2 years ago

Will give brainliest, please help

Rus_ich [418]

Answer:

Step-by-step explanation:

A triangle always consists of it being 180 degrees. The box on the triangle on angle A depicts that it is a right angle, 90 degrees. And since Angle B is given at 45, angle C must be 45 degrees as well, since 180-45-90 (triangle angles=given angles for A and B) equal up to 45. When the angles beside the right angle is both identical and the same, the sides that correspond with that triangle is also the same. AC is given at 9 feet, and since Angle C and B both have the same angles, AB must ALSO be a 9ft.

Now, since we know the two sides, it is very easy to find BC, or the hypotenuse of the triangle, using the Pythagorean Theorem: $a^{2} +b^{2} =c^{2}$ , where a and b are sides, and c is the hypotenuse (or the long end) of a right triangle.

We can plug both 9s in for a and b since they're both the same, and it should equal to

9^2+9^2=c^2.

9^2 is 9*9, and that is 81. We have two of these so add them together to find 162. Since c^2 is equal to 162, we would need to square root both sides so we can find a number that equals c.

$\sqrt{162} =c$

We can either plug this into a calculator, and we should get something around 12.72, and that would be the same as C if you plug that value into a calculator.

You can also simplify the radical if you know how to. 162 is 81 times 2 (example) and 81 is 9*9, so we can add that to the outside and 2 is still under the radical. But this would only make sense if you know how to do that.

6 0

2 years ago

Please help me out plz

9966 [12]

Point slope formula is y= mx+b. To find the slope, or m, you need to find the "rise over run". rise = y coordinates, run = x coordinates. And the slope equation is y1-y2/x1-x2. So let's say the first point is (x1,y1) and the second is (x2,y2). that would be 35-(-31)/5-(-6)= 66/11 or 6/1 aka up six, across one. That is your slope. So far you have y=6x+b, next plug (5,35) into that equation and solve for b (aka the y intercept). So: 35=6(5)+b. 35-30=b, b=5. So your final equation is y=6x+5.

8 0

3 years ago

A certain kite has exactly one acute angle, and it measures 16 degrees. What is the maximum whole-number measure of the angle op

kvv77 [185]

Answer:

In order to do so, we need to use basic algebra. The angles in a kite add up to 360 degrees. so we form the following equation.

x + y + y + 16 = 360

x + y + y = 344 <----(360 -16)

Each letter or variable represents an angle measure. the measures of the three angles left. The 16 degrees is on the bottom of the kite and the angle opposite is the top angle. the two side angles will be the same measure that's why they are both y.

x + 2y = 344

The two side angles will be 90 or greater because there is only 1 acute angle. 90 is the smallest number that can be chosen. so we do the following.

Step-by-step explanation:

x + 2(90) = 344

x + 180 = 344

x = 344-180

x = 164

THE MAXIMUM WHOLE NUMBER MEASURE OF THE ANGLE OPPOSITE OF THE 16 DEGREE ACUTE ANGLE IS 164 DEGREES*

4 0

3 years ago

How many yards are there in 1260 feet? A. 105 yards B. 210 yards C. 3780 yards D. 420 yards

frez [133]

The answer is D. 420 yards because 1yd. = 3 ft. 1260 divided by three = 420

7 0

3 years ago