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3 years ago

Decide whether a triangle with side lengths of sqr5, 5, and 5.5 is right, acute, or obtuse.

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

4 0

It is acute isosceles triangle

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Factorise <br> a) 4p²-81<br> b) x²-13x+36

taurus [48]

Answer:

A = (2p + 9) (2p - 9)

B = (x - 9) (x - 4)

Step-by-step explanation:

For A : Rewrite 4p^2 as (2p)^2.

(2p)^2−81

Rewrite 81 as 9^2.

(2p)^2−9^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .

(2p + 9) (2p − 9)

For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .

-9, -4

(x - 9) (x - 4)

I hope this helps.

7 0

3 years ago

The student council is selling cupcakes at the school play. The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcak

dedylja [7]

Answer:

C = 75 + 0.17x and R = 2x

2x - (75 + 0.17x) > 0

x ≥ 41

Step-by-step explanation:

The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcakes made and the selling price of each cupcake is $2.00.

Part A: Now, the equation for the cost, C, for making x cupcakes is

C = 75 + 0.17x ......... (1)

Again the equation for the revenue, R, from selling x cupcakes is

R = 2x ............ (2)

Part B: So, the inequality that could be solved to find the number of cupcakes, x, that must be made and sold to make a profit is

R - C > 0

2x - (75 + 0.17x) > 0 ......... (3)

Part C: Solving inequality (3) we get

(2 - 0.17)x > 75

⇒ x > 40.98

⇒ x ≥ 41 {Since, x can not be a fraction}

(Answer)

3 0

3 years ago

Order 34 × 102, 1.2 × 107, 8.11 × 10–3 and 435 from least to greatest.

andrey2020 [161]

I will assume that this question is about scientific notation (also assuming that the first number is 3.4*10^2), where you can arrange the numbers by the exponent of the 10, so from least to greatest:
$8.11*10^{-3}$ , $3.4*10^{2}$ , 435, and $1.2*10^{7}$

6 0

3 years ago

Line segments AB and CD intersect at point E. Ray EF extends from point E.

Tom [10]

Answer:

x=29 CEF=103 BEF=58

Step-by-step explanation:

161=3x+16+2x

5x=145

x=29

7 0

3 years ago

Among all rectangles that have a perimeter of 188, find the dimensions of the one whose area is largest.

ANEK [815]

Always add them all around and then divide the two and you should get the correct answer

4 0

2 years ago