MATHEMATICS HIGH SCHOOL

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What is (75 x 2) + (6-3)

Answers

Answer 1
Answer:

Answer:

(75x2)+(6-3)

         These equations are in parentesis so they happen first.

75x2=150. If we take 70 and multiply it by 2 we get 140. If we multiply 5 by 2 we get 10. So 140+10=150.

6-3 is next. That is common knowledge and we know its 3.

No we add 150+3=153 to get our answer.

Parenthesis first

Exponets after parenthesis

Multiplying going left to right

Divinding left to right

Adding left to right

Subtracting left to right

Step-by-step explanation:

I hope this helped and if so plz give brainliest.
Answer 2
Answer:

Answer:

153

Step-by-step explanation:

(75 x 2) + (6-3)

150+(6-3)

150+3

153

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A group of 5 friends go to a baseball game. Each person buys a ticket for the game and 2 hotdogs. Let t represent the cost of ticket and h represent the cost of a hotdog.

Answers

The expression that represents the total cost of the baseball game will be 5t + 2h.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

An expression or formula is a finite collection of signs and is well thus according to context-dependent norms.

A gathering of 5 companions goes to a ball game. Every individual purchases a ticket for the game and 2 hotdogs. Allow t to address the expense of a ticket and h to address the expense of hotdogs.

Then the expression of the total cost is given as,

⇒ 5t + 2h

The expression that represents the total cost of the baseball game will be 5t + 2h.

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5 people that mean 5t and 2 hot dogs for each person that mean 10h

The Great Pyramid of Giza was constructed as a regular pyramid with a square base. It was built with an approximate volume of 2592276 cubic meters and a height of 146.5 meters. What was the length of one side of its base, to the nearest meter?

Answers

volume of a square-based pyramid = base edge^2 * height/3
so:
2,592,276 = base edge^2 * 146.5/3; therefore the base edge is approximately 230.4m

Solve for x.
7x = 78

Answers

1.142 is the value of x in the equation  7x = 78.

The given equation is 7x = 78

In the equation x is the variable.

We need to find the value of x.

Divide both sides by 7 to get the value of x

x=78/7

x=11.142

Hence, the value of x in the equation  7x = 78 is 11.142.

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7x=78---- ---- = 11.147 7

The quotient of a number and 3, increased by 4 is 5, what is the expression

Answers

Answer: The answer would be 3 +n +4 = 5

Step-by-step explanation:

Welcome

Answer:

see explanation

Step-by-step explanation:

let the number be n , then

(n)/(3) + 4 = 5

At a country concert, the ratio of the number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many boys are at the concert?

Answers

Boys : Girls = 2:7
let the no. of boys be x
so no of girls = 250+x
so, x:(250+x) = 2:7
x/(250+x) = 2/7
7x = 500+2x
7x-2x = 500
x = 500/5 =100

I am a little confused: One method you can use to determine whether a triangle is a right triangle, given three side lengths, is to apply the converse of the Pythagorean Theorem. Alternately, you can use trigonometric ratios. Show that the triangle in the diagram is a right triangle by using trigonometric ratios. ( Be sure to show all work/and or reasoning.

Answers

Answer with explanation:

The triangle in the Diagram Described has following measurement:

 Longest Side = 65 units

One side which can be either Perpendicular or base = 63 units

And , other side which can be also, either Perpendicular or base = 16 units

We can prove that the triangle described is right triangle by two ways.

1. Using Converse of Pythagorean Theorem

Square of Longest side = Sum of Squares of other two sides-----(1)

So, Square of Longest Side =  65²=4225

Sum of Square of other two sides = 16² + 63²

                                        = 256 + 3969

                                        =  4225

Statement (1), is valid.

So,Triangle is right angled triangle, right angled at A.

2. using Trigonometric Ratios

Suppose the triangle is right Angled at A.

In Right triangle B AC

tan B=\frac{\text{Perpendicular}}{\text{Base}}\n\ntan B=(16)/(63)\n\ntan C=(63)/(16)\n\n tan(B +C)=(tan B + tan C)/(1-tan B * tanC)\n\ntan (B +C)=((16)/(63)+(63)/(16))/(1-(16)/(63)* (63)/(16))\n\ntan (B +C)=\frac{\text{Any rational number}}{0}\n\ntan (B +C)=\infty\n\nB +C=90^(\circ)\n\n \text{Using the trigonometric Identity},tan(A+B)=(tan A +tan B)/(1-tan A*tan B)

B +C =90°

Also,→ ∠A + ∠B + ∠C=180°≡ (Angle sum property of triangle)

→∠A +90°=180°

→∠A=180° -90°

→∠A=90°

So, triangle is right Angled triangle , Right angled at A.

Hence ,proved.
Trigonometric ratios are sine, cosine, and tangent (opposite side over hypotenuse, adjacent side over hypotenuse, and opposite side over adjacent side, respectively); if you wanted to prove that one of the angles of the triangle is 90º, then the cosine of that angle would be 0, the sine would be 1, and the tangent would be undefined. 
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