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2 years ago

A straight angle has four angles. angle 1=39º, angle 2=54º, angle 3=48º, what is the measure of angle 4 ?

Mathematics

1 answer:

Ludmilka [50]2 years ago

8 0

Answer:

39 degrees

Step-by-step explanation:

Add: 39+54+48=141

180 (degrees of a straight angle) minus 141=39

39 degrees

Hope I helped!! :)

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Amount $100,000

sergey [27]

Answer:

1) Repaid for the loan = $239,511.60

2) Percentage = 58.2%

3) Average amount = $387.53

Step-by-step explanation:

Given :

Amount $100,000

Rate 7%

Payments 360 - $665.31

Total interest $139,511.60

To find :

1) How much will be repaid for this loan?

Repaid for the loan = Amount - Total interest

Repaid for the loan = 100,000 + 139,511.60

Repaid for the loan = $239,511.60

2) What percentage will be repaid for this loan?

$\text{Percentage}=\frac{\text{Total interest}}{\text{Repaid loan}}\times100$

$\text{Percentage}=\frac{139511.60}{239511.60}\times100$

$\text{Percentage}=0.582\times100$

$\text{Percentage}=58.2\%$

3) What will be the average amount per payment for interest?

$\text{Average amount}=\frac{\text{Total interest}}{\text{Payments}}$

$\text{Average amount}=\frac{\text{139511.60}}{\text{360}}$

$\text{Average amount}=387.53$

4 0

3 years ago

What is the length of a rectangle that has a width of 2.5 centimeters and an area of 20.5 square centimeters?

olchik [2.2K]

Do 20.5 divided by 2.5 which equals
8.2

7 0

3 years ago

Read 2 more answers

Please help I’ll give brailiest

Scrat [10]

The total angle sum of a triangle is 180°
As such, 180= 78 + 2s +4s
102= 6s
s=17

3 0

2 years ago

Read 2 more answers

5. Mrs.Weed's puppy weighed o.236 kg when it was born. At the next check-up it weighed 0.37 kg. How much weight had it gained?

musickatia [10]

Answer:

5.) 0.134 kg.

6.) 6.15 km.

7.) 5.9 kg.

Step-by-step explanation:

5.) 0.37 - 0.236 = 0.134

6.) 9.71 - 3.56 = 6.15

7.) 1.7 + 4.2 = 5.9

5 0

3 years ago

A quadratic equation is shown below:

sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

$3x^{2}-11x+10=0$ has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

$\frac{d}{dx}(3x^{2}-11x+10)=6x-11$

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

$x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

$x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}$

6 0

3 years ago