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1 year ago

What is the measure of angle UST?

Mathematics

1 answer:

kiruha [24]1 year ago

8 0

Answer:

C 30 degrees

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

⇒ ∠UST + 78 + 72 = 180

⇒ ∠UST = 180 - 78 - 72

⇒ ∠UST = 30°

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2 years ago

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2 years ago

If breadth of a rectangle is 19m and perimeter is 80m, find the length of the rectangle.

soldi70 [24.7K]

Answer: 21

Step-by-step explanation:

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2 years ago

The location of point V is (-3,3). The location of point X is (9,13). Determine the location of point W which is 3/4 of the way

Inga [223]

ANSWER

$W(\frac{9}{7},\frac{51}{7} )$

EXPLANATION

We want to find the coordinates of the point W(x,y) which divides V(-3,3) and X(9,13) in the ratio m:n=3:4.

The x-coordinate of this point is given by:

$x= \frac{mx_2+nx_1}{m + n}$

$x= \frac{3(9)+4( - 3)}{4 + 3}$

$x= \frac{21 - 12}{4 + 3}$

$x= \frac{9}{7}$

The y-coordinates is given by;

$y= \frac{my_2+ny_1}{m + n}$

$y= \frac{3(13)+4( 3)}{4 + 3}$

$y= \frac{39+12}{4 + 3}$

$y= \frac{51}{7}$

Hence

$W(\frac{9}{7},\frac{51}{7} )$

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2 years ago

What is the present value of $3,000 per year for 9 years discounted back to the present at 10 percent?

Studentka2010 [4]

Answer:

$17,277.07

Step-by-step explanation:

Present value of annuity is the present worth of cash flow that is to be received in the future, if future value is known, rate of interest is r and time is n then PV of annuity is

PV of annuity = $\frac{P[1-(1+r)^{-n}]}{r}$

= $\frac{3000[1-(1+0.10)^{-9}]}{0.10}$

= $\frac{3000[1-(1.10)^{-9}]}{0.10}$

= $\frac{3000[1-0.4240976184]}{0.10}$

= $\frac{3000(0.5759023816)}{0.10}$

= $\frac{1,727.7071448}{0.10}$

= 17,277.071448 ≈ $17,277.07

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2 years ago