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3 years ago

A + 4 = 6, when a = 2. true false open

Mathematics

2 answers:

puteri [66]3 years ago

8 0

Answer:

True.

Step-by-step explanation:

$a+4=6$

$a=2$

To see if the equation would be correct given the value of $a$ , we have to substitute:

$2+4=6$

$6=6$

Since both sides of the equation are equal, the statement is true.

stealth61 [152]3 years ago

4 0

True
Pls mark brainliest

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The product (x) of two numbers is 24 and their sum (+) is 10. What is the value of the largest of the two numbers?

RideAnS [48]

let the two numbers be x and y

From the first sentence,

xy=24

x+y=10

Then make y in equation 2 the subject of the formular and substitute in equation 1

x+y=10

y=10-x

substituting in equation 2

x(10-x)=24

open the bracket

10x-x^2=24

=-x^2+10x=24

Transfer the constant to the left hand side

=-x^2+10x-24=0

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3 years ago

Use the quadratic formula to solve x2 – 3x - 2 = 0.

r-ruslan [8.4K]

Answer:

x = 2 , 1

Step-by-step explanation:

6 0

3 years ago

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Kiran is spending $12 on games and rides at another carnival, where a game

Alinara [238K]

Answer:

0.25x + y = 12

Step-by-step explanation:

Given

Kiran is spending $12 on games

it means that he can spend total of $12 on rides and games

number of games is represented by x

cost of 1 game = $0.25

cost of x games = $0.25*x = $0.25x

number of rides is represented by y

cost of 1 rides = $1

cost of x rides = $1*y = $y

Total cost for x games and y rides =cost of x games + cost of y rides

Total cost for x games and y rides = $0.25x + $y

given that Kiran is spending $12 on games

Total cost for x games and y rides will be $12

thus,

$12 = $0.25x + $y

removing dollar sign for equation formation

0.25x + y = 12

given above is the equation to represent the relationship between the dollar

amount Kiran is spending and the number of games, x, and the number of

rides, y.

3 0

3 years ago

A basket had 120 star apples and mangoes.if there are 90 mangoes what is the ratio of mangoes to star apples.?

leva [86]

Answer:

3 : 1

Step-by-step explanation:

120-90=30

90 mangoes

30 apples

90 : 30 divide both by 10

9 : 3 divide both by 3

3 : 1

6 0

3 years ago

1. Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.

iren2701 [21]

Answer:

Part 1)

Bob's mistake was to have used the cosine instead of the sine

The measure of the missing angle is $53.13\°$

Part 2) The surface area of the pyramid is $288\ cm^{2}$

Step-by-step explanation:

Part 1)

Let

x----> the missing angle

we know that

In the right triangle o the figure

The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle

$sin(x)=\frac{16}{20}$

$x=arcsin(\frac{16}{20})=53.13\°$

Bob's mistake was to have used the cosine instead of the sine

Part 2) we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

$SA=b^{2}+4[\frac{1}{2}(b)(h)]$

where

b is the length side of the square

h is the height of the triangular lateral face

In this problem

$h=b/2$ -------> by an 45° angle

$b=2h$

$sin(45\°)=\frac{h}{6\sqrt{2}}$

$h=6\sqrt{2}(sin(45\°))=6\ cm$

Find the value of b

$b=2(6)=12\ cm$

Find the surface area

$SA=12^{2}+4[\frac{1}{2}(12)(6)]=288\ cm^{2}$

3 0

4 years ago