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3 years ago

Sum of three consecutive multiples of 4 is 132. Find the numbers.

Mathematics

2 answers:

Fed [463]3 years ago

5 0

Answer:

4(x+x+1+x+2)=132

4(3x+3)=132

4×3(x+1)=132

12(x+1)=132(dividing 132/12)

×+1=11

x=11-1

x=10

vlabodo [156]3 years ago

4 0

Answer:

132

Step-by-step explanation:

33+44+55=132

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Find the missing side for each triangle below

xxTIMURxx [149]

Applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.

<h3>How to Solve a Right Triangle Using Trigonometry Ratio</h3>

The Trigonometry Ratios are:

SOH - sin∅ = opp/hyp.
CAH - cos∅ = adj/hyp.
TOA - tan∅ = opp/adj.

Thus, given:

∅ = 51°

hyp = 3

adj = x

Apply, CAH:

cos 51 = x/3

x = (cos 51)(3)

x = 1.9

Thus, applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.

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2 years ago

Is 5 + 3x1 - x) equivalent to 8 – 8x?

nalin [4]

Answer:

Step-by-step explanation:

5+3x is equal to 8x.

if there is no number in front of a variable, it is understood to be a one. so 1-x would basically be 1-1. this cancels out the x, making it impossible for the equivalent equation to be 8 - 8x

3 0

2 years ago

Joachim wants to win the giant monkey at the carnival game. To do so, he'll need to roll two ones with a single toss of a pair o

Gemiola [76]

$\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$
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4 0

2 years ago

Read 2 more answers

Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.

koban [17]

Answer:

$x^2 + 4x + y^2 +8y = 0$

Step-by-step explanation:

Given

$A = (-1,-2)$

$B = (2,4)$

$AP:BP = 1 : 2$

Required

The locus of P

$AP:BP = 1 : 2$

Express as fraction

$\frac{AP}{BP} = \frac{1}{2}$

Cross multiply

$2AP = BP$

Calculate AP and BP using the following distance formula:

$d = \sqrt{(x - x_1)^2 + (y - y_1)^2}$

So, we have:

$2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

$2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

Take square of both sides

$4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2$

Evaluate all squares

$4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16$

Collect and evaluate like terms

$4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20$

Open brackets

$4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20$

Collect like terms

$4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y + 20 - 20 = 0$

$3x^2 + 12x + 3y^2 +24y = 0$

Divide through by 3

$x^2 + 4x + y^2 +8y = 0$

3 0

3 years ago

Please help I don’t understand this

horrorfan [7]

Answer:

C) 17

Step-by-step explanation:

Using the rule

A^2 + B^2 = C^2

8^2 + 15^2 = x^2

64 + 225 = x^2

x^2 = 289

x= _/-289

x = 17

3 0

2 years ago