All categories

3 years ago

HELP PLEASE!!! I need help with this question!

Mathematics

1 answer:

AlexFokin [52]3 years ago

6 0

Answer:

$\large\boxed{PS=10\sqrt5}$

Step-by-step explanation:

ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:

$\dfrac{QR}{RP}=\dfrac{RP}{RS}$

We have:

$QR=5,\ RS=20$

Substitute:

$\dfrac{5}{RP}=\dfrc{RP}{20}$ <em>cross multiply</em>

$RP^2=(5)(20)\\\\RP^2=100\to RP=\sqrt{100}\\\\RP=10$

Use the Pythagorean theorem:

$PS^2=PR^2+RS^2$

Substitute:

$PS^2=10^2+20^2\\\\PS^2=100+400\\\\PS^2=500\to PS=\sqrt{500}\\\\PS=\sqrt{100\cdot5}\\\\PS=\sqrt{100}\cdot\sqrt5\\\\PS=10\sqrt5$

You might be interested in

Find the length of side x in simplest radical form with a rational denominator.

Klio2033 [76]

Answer:

$x = \frac{\sqrt{6}}{2}$

Step-by-step explanation:

Reference angle = 45°

Opposite side = x

Hypotenuse = √3

Use the following trigonometric ratios formula to find x:

$sin(\theta) = \frac{opp}{hyp}$

Plug in the values

$sin(45) = \frac{x}{\sqrt{3}}$

Multiply both sides by √3

$\sqrt{3}*sin(45) = x$

$\sqrt{3}*\frac{\sqrt{2}}{2} = x$

$\frac{\sqrt{3*2}}{2} = x$

$\frac{\sqrt{6}}{2} = x$

6 0

3 years ago

Which of the following types of electromagnetic radiation has the longest wavelength?

snow_lady [41]

Answer: Radio waves. Next longer is visible, ultraviolet, and shortest is x-rays.

Step-by-step explanation:

Just a fact. Radio waves also have the lowest energy and frequency. This is a physics question.

Wavelength = speed of light/frequency

Meters = meters per second / Hertz

= meters / second × seconds

Energy = Planck's constant times frequency.

6 0

3 years ago

Every day a kindergarten class chooses randomly one of the 50 state flags to hang on the wall, without regard to previous choice

Romashka [77]

Answer:

a) $S=50$

$P(X)=0.02$

b) $P(W,M,C)=8*10^-^6$

c) $P(W_2_3)=1.18*10^-^3$

Step-by-step explanation:

From the question we are told that

Sample space S=50

Sample size n=30

a)Generally the sample space S is

$S=50$

The probability measure is given as

$P(X)=\frac{1}{50}$

$P(X)=0.02$

Generally the probability that the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday is mathematically given as

Probability of each one being hanged is

$P(X)=\frac{1}{50}$

Therefore

$P(W,M,C)=\frac{1}{50} *\frac{1}{50}* \frac{1}{50}$

$P(W,M,C)=\frac{1}{125000}$

$P(W,M,C)=8*10^-^6$

c)Generally the probability that Wisconsin’s flag will be hung at least two of the three days is mathematically given as

Probability of two days hung +Probability of three days hung

Therefore

$P(W_2_3)=^3C_2 (1/50) * (1/50) * (49/50) +^3C_3 (1/50) * (1/50) *(1/50)$

$P(W_2_3)=148 / 125000$

$P(W_2_3)=1.18*10^-^3$

3 0

3 years ago

The sum of two complimentary angles is 90. . For one pair of complimentary angles, the measure of the first angle is 15 less tha

soldi70 [24.7K]

Answer:

$x=55 \textdegree$

$y=35 \textdegree$

Step-by-step explanation:

From the question we are told that

Sum of two angle =90

First angle is 15 less than twice the measure of the second angle.

Generally interpreting mathematically we have

Let x be the first angle and second angle y

$x=2y-15$

Therefore

$2y-15 +y=90$

$3y=105$

$y=\frac{105}{3}$

$y=35 \textdegree$

Therefore

$x+35=90$

$x=90-35$

$x=55\textdegree$

5 0

3 years ago

PLEASE ANSWER QUICK ITS A TIMED QUIZ Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4

kramer

A. We have two lines: y = 4-x and y = 8-x^-1

Given two simultaneous equations that are both to be true, then the solution is the points where the lines cross. The intersection is where the two equations are equal. Therefore the solution that works for both equations is when

4-x = 8-x^-1

This is where the two lines will cross and that is the common point that satisfies both equations.

B. 4-x = 8-x^-1

x 4-x 8-x^-1

______________

-3 7 8.33

-2 6 8.5

-1 5 9

0 4 -

1 3 7

2 2 7.5

3 1 7.67

The table shows that none of the x values from -3 to 3 is the solution because in no case does

4-x = 8-x^-1

To find the solution we need to rearrange the equation to find for x:

4-x = 8-x^-1

Multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

Therefore there are two points that satisfies the equation.

Find y:

x=-4.236

y = 4-x = 4 – (-4.236) = 8.236

y = 8-x^-1 = 8-(-4.236)^-1 = 8.236

x=0.236

y = 4-x = 4 – (0.236) = 3.764

y = 8-x^-1 = 8-(0.236)^-1 = 3.764

Thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

C. To solve graphically the equation 4-x = 8-x^-1

We would graph both lines: y = 4-x and y = 8-x^-1

The point on the graph where the lines cross is the solution to the system of equations.

Just graph the points on part B on a Cartesian coordinate system and extend the two lines. The solution is, as stated, the point where the two lines cross on the graph.

6 0

3 years ago