MATHEMATICS HIGH SCHOOL

25% of a bag of oranges is spoilt. There are 20.4 kg of spoilt oranges. What is the weight of the bag?​

Answers

Answer 1
Answer:

Answer:

81.6

Step-by-step explanation:

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In triangle ABC, a = 8, b = 6, and C = 60°. Find the measure of A. 16° 46° 74° 106°

Answers

cos~C= (a^2+b^2-c^2)/(2ab) \Leftrightarrow (1)/(2)= (64+36-c ^(2) )/(2*48) \Rightarrow 100-c^2=48 \Rightarrow c^(2)=52 \Rightarrow \n c=2 √(13).~~~~~(Cosinus~formula) \n \n cos~A= (b^2+c^2-a^2)/(2bc)= (36+52-64)/(24 √(13) ) = (24)/(24 √(13) )= ( √(13) )/(13). \n \n cos~A= ( √(13) )/(13) \Rightarrow m(\ \textless \ A) =74 \textdegree.

Determine the digits of Y from these clues. The digits of Y add to 16. The first digit is 4 times the third digit. The second digit is 3 times the third digit. Y is a three digit number.

Answers

Answer:

The number Y is  862.

Step-by-step explanation:

Given : Y is a three digit number and the digits of Y add to 16 and The first digit is 4 times the third digit. The second digit is 3 times the third digit.

We have to find the number Y.

Since, Y is a three digit number

Let Y = abc , where a, b, c are the digits of Y.

According to given question ,

a + b + c = 16  ........(1)

also, The first digit is 4 times the third digit that is a = 4c  ....(2)

and, The second digit is 3 times the third digit that is b= 3c ....(3)

Substitute (2) and (3) in (1) , we get,

⇒ 4c + 3c + c = 16

⇒ 8c = 16

⇒ c = 2

Thus, c = 2

Put c = 2 in (2) and (3) to find a and b ,

thus,  a = 4c = 4(2) = 8

b = 3c = 3(2)= 6

Thus, number Y = abc = 862.
The number is 862. (:

Today the coast of a gallon of gas is $2.65. Every week for the next 10 weeks, it will increase by $0.05.a gallon. If you wrote a linear equation to model this situation,what would the slope be?

Answers

We don't need to know how many weeks it kept up
that same rate of increase.

You just told us that it increases by $0.05 a gallon each week.

So the slope of a graph during that period is  $0.05 / week.

What is the sum of the given polynomials in standard form?
(x2 – 3x) + (–2x2 + 5x – 3)

Answers

Combine like terms. -x2 +2x -3 is the answer.

Answer:

-x^2+2x-3

Step-by-step explanation:

The given polynomial expression is

(x^2-3x)+(-2x^2+5x-3)

We regroup the terms in the polynomial to obtain;

x^2-2x^2-3x+5x-3

We combine like terms to get;

-x^2+2x-3

When we arrange the terms in the polynomial in descending powers of x, then we say it is in standard form.

The simplified polynomial in standard form is  -x^2+2x-3

Need answer ASAP will give brainliest check out the picture the answrs: 2, 65, 69, 60, 120, 89, and 30

Answers

I think it is 120

The total of the shape is 180 so it telling us to take away 1/3 of it so 60 away from 180 is 120

Variable y varies directly with variable x, and y = 16 when x = 12. Enter the constant of variation in lowest terms.

y = blank/ blank x

Answers

y=kx
find k
y=16
x=12
16=k12
divide 12
16/12=k
4/3=k

y=4/3x

blanks is 4/3
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