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3 years ago

Find two integers whose sum is 2 and product is -24

Mathematics

1 answer:

hodyreva [135]3 years ago

7 0

6 and - 4

(6) x (-4) = -24

6 + (-4) = 2

6 and -4 is your answer

hope this helps

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5. A yacht is cruising at 20 knots at bearing of 185° when a 15 knot wind starts to blow at a bearing of 290°. Find the directio

kicyunya [14]

Answer:

Direction of the boat is 43.05° and the speed is 21.66 knot

Step-by-step explanation:

yacht speed = 20 knots

yacht bearing = 185° = 85° below the negative horizontal x-axis

wind speed = 15 knots

wind bearing = 290° = 20° above the negative horizontal x-axis

we find the x and y components of the boat velocities

for yacht,

x component = -20 cos 85° = -1.74 knots

y component = -20 sin 85° = -19.92 knots

for the wind,

x component = -15 cos 20° = -14.09 knots

y component = 15 sin 20° = 5.13 knots

total x component Vx = -1.74 + (-14.09) = -15.83 knots

total y component Vy = -19.92 + 5.13 = -14.79 knots

Resultant speed of the boat = $\sqrt{Vx^{2} + Vy^{2} }$

==> $\sqrt{15.83^{2} + 14.79^{2} }$ = 21.66 knot

direction of boat = $tan^{-1} \frac{Vy}{Vx}$

==> $tan^{-1} \frac{14.79}{15.83}$ = 43.05°

3 0

4 years ago

Enter the correct value so that each expression is a perfect-square trinomial. x2 – 10x +

Marrrta [24]

Use the formula ( $\frac{b}{2}$ )^2

in order to create a new term to complete the square.

(x−5)2−25

6 0

4 years ago

Select from the drop-down menu to correctly compare the numbers.

OverLord2011 [107]

This questions can be answered with a calculator, but I have an impression it is meant to be a mental calculation problem, which can be solved as follows.

We know that 10*10=100, in otherwords, √ 100 = 10 which is greater than 9.4247.

We also know that √ 108 is greater than √ 100 =10

So we can conclude that
√ 108 > √ 100 = 10 > 9.4247
or simply

√ 108 > 9.4247

by the transitive property of logical propositions.

6 0

4 years ago

Dr. Ashby is studying the heart rate of adult men. Preliminary data suggests that the standard deviation of heart rates for adul

jok3333 [9.3K]

Answer:

n=42 adult men

Step-by-step explanation:

-The minimum sample size to get a desired margin of error, E is calculated using the formula:

$n\geq( \frac{z\sigma}{E})^2$

-Given that $\sigma=7.5, \ \ E=3\ , \ z_{0.005}=2.58$ , we can substitute to solve for n in the above formula:

$n\geq (\frac{z\sigma}{E})^2\\\\\therefore n=(\frac{z_{\alpha/2}\sigma}{E})^2\\\\=(\frac{2.58\times7.5}{3})^2\\\\=41.6025\approx42$

Hence, the desired minimum sample size, n is 42 adult men.

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3 years ago

How do you write 9.009 as a percentage?

Oksanka [162]

900.9% would be 9.009 as a percentage.

It's 900% because it's a whole number and it's .9% because of the last 9 in the number (the thousandth - 3 digits after the decimal).

6 0

3 years ago