3 years ago

The quotient Of triple a number and 9 is decreased by the sum of the number and 5? Expression please

Mathematics

1 answer:

Grace [21]3 years ago

6 0

X/3x -x+5
Hope it helps!!!!!!!!!

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Amelia has a triangular kite with an area of 30 square inches and a height of 6 inches. How long is the base of the kite?

Gnesinka [82]

Area of triangle = 0.5 * base * height
30 = 0.5 * 6 * base
30 = 3 * base
so , base = 10 inch

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3 years ago

MVUT =175, mVUJ=17x-3, and mJUT=17x+8. Find x

kotykmax [81]

The diagram of the three angles is shown below with point U as the point where all three lines meet.

Angles property: Angles around a point add up to 360°

We set up an equation

$175+17x-3+17x+8=360$
$180+34x=360$
$34x=360-180$
$34x=180$
$x= \frac{180}{34}= \frac{90}{17}$

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3 years ago

Determine which point is the solution to the given system.

KatRina [158]

Answer:

Step-by-step explanation:

We equate both the y's and solve for x algebraically:

$-\frac{4}{7}x+16=-\frac{2}{7}x+12\\16-12=-\frac{2}{7}x+\frac{4}{7}x\\4=\frac{2}{7}x\\x=\frac{4}{\frac{2}{7}}\\x=14$

Now taking the value x= 14 and putting it in the 1st equation would give us y:

$y=-\frac{4}{7}x+16\\y=-\frac{4}{7}(14)+16\\y=8$

Hence the solution is (14,8), answer is D

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4 years ago

Compute the magnitude and direction of the sum of the two vectors: 170N of force at 87° and 100N of force at 46°.

krok68 [10]

Answer:

F = 254.08N Θ = 72.03°

Step-by-step explanation:

First of all we find the resolution in both x and y axis

∑Fx = 170cos87 + 100cos46 = 78.36N

∑Fy = 170sin87 + 100sin46 = 241.70N

To find the resultant vector we use pythagorean theorem

F = √(∑Fx)² + ∑(Fy)²

F = √(78.36² + 241.70²)

F = √(64559.1796)

F = 254.08N

the angle between both force can be obtained using

tanθ = ∑Fy / ∑Fx

tanθ = 241.70 / 78.36

tanθ = 3.084

Θ = tan⁻ 3.084

Θ = 72.03°

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3 years ago

Find the Least Common Denominator of 12 and 3 10 5 35 70 O 17

Ksivusya [100]

Answer:

the least common denominator is 12

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3 years ago