in figure 5.19 to the right PQRS is a rectangle. if PS=5cm and PR=13cm find SR and QS.
Answers
Given:
PQRS is a rectangle.
[tex]PS=5\ cm,\ PR=13\ cm[/tex]
To find:
The length of SR and QS.
Solution:
We know that, all interior angles of a rectangle are right angle. So, [tex]\angle S=90^\circ[/tex].
According to the Pythagoras theorem, in a right angle triangle,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Using Pythagoras theorem in triangle PRS, we get
[tex]PR^2=PS^2+SR^2[/tex]
[tex]13^2=5^2+SR^2[/tex]
[tex]169-25=SR^2[/tex]
[tex]144=SR^2[/tex]
Taking square root on both sides.
[tex]\sqrt{144}=SR[/tex]
[tex]12=SR[/tex]
So, the measure of SR is 12 cm.
We know that the diagonals of a rectangle are equal. PR and QS are the diagonals of the rectangle PQRS. So,
[tex]PR=QS[/tex]
[tex]13=QS[/tex]
Therefore, the length of SR is 12 cm and the length of QS is 13 cm.
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answer asapppldfghjkl;uytjfgnvblh
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7(3.14/pi)/36
Is the answer
Delia brushes her teeth 1/6 hour each day. How many hours Delia brides her teeth in a week? I’ll mark as brainliest
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I hope this helps you with your question.
hereeeeeee plsssssss answeeeeerrrr im desperateeeee wil give brainliest plus 25 points!!
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Answer:
b
Step-by-step explanation:
Answer:
second one
Step-by-step explanation:
look at the lines. the first line is at the 58 mark.
next one is at the 70, then 78, 86, and 96.
Help I’ll give brainliest!
Answers
Answer:
-2.8
Step-by-step explanation:
Gradient/slope = [tex]\frac{-11 - 3}{3--2}[/tex] (change in y / change in x)
= [tex]\frac{-11 - 3}{3+2}[/tex] =[tex]\frac{-14}{5}[/tex]= -2.8
Solve.
(4 x 104)(2 x 103)
Answers
Answer:
85,696
Step-by-step explanation:
4 x 104 = 416
2 x 103 = 203
No sign between parentheses means that you have to multiply the two outcomes of the parentheses.
416 x 203 = 85,696
This solid shape is made from 5 cubes.
Answers
Answer:
what is the question?
Step-by-step explanation:
Can someone turn this into y=ax+b form with your work?
Answers
Step-by-step explanation:
given
2x + y = 13
turning to y = ax + b we get
y = - 2x + 13
hope it helps :)❤
8x−2=−11+7x +2
Please help me!!
Answers
Answer:
x=-7
Step-by-step explanation:
8x - 2 = -11 + 7x + 2
First, separate the terms: move x to one side
subtract 7x from both sides
8x -7x - 2 = -11 + 7x -7x + 2
x - 2 = -11 + 2
Now get x by itself by adding 2 to both sides
x - 2 +2 = -11 + 2 +2
x = -11 + 4
simplify
x = -7
you're welcome
Round 33.825 to the nearest hundredths in place
Answers
Answer:
33.83
Step-by-step explanation:
Answer:
33.83
^Hope this helps, Hazel^Which is a solution to the equation
79 - 2 - 472
g.
96
Answers
Answer:
[tex]-395[/tex]
Step-by-step explanation:
[tex]79-2= 77-472 = -395[/tex]
2 1/3 + 5 5/16 + 2/7 = __ + __ + __ = __
Answers
Answer:
12 17 19 =48
Step-by-step explanation:
simplify the expression below. (x^25)^-5/(x^-3)^48
Answers
A water container in the shape of a cone has a height of 5 inches and a diameter of 3.5 inches.
Enter an equation in the first blank box and a number in the second blank box to complete the statements about the
water container ___.
A. The formula to calculate the container's volume, V, with the given measurements is
B. The container can hold approximately ___ cubic inches of water. Round your answer to the nearest hundreth.
Answers
Answer
A. The formula to calculate the container's volume, V, with the given measurements is ⅓ π(1.25²)5.
B. The container can hold approximately 8.177 cubic inches of water. Round your answer to the nearest hundredth.
Step-by-Step Explanation
A. The formula to calculate any cone's volume is ⅓ πr²h. Replace the variables with the actual values of the cone. r stands for the cone base's radius, or half of the diameter. Because the diameter is 3.5, the radius is 1.25, or half of it. The h stands for the height of the cone. Now we can plug in the values. Our answer for this part is ⅓ π(1.25²)5.
B. Now to solve our equation. [tex]1.25^2[/tex] is equal to 1.5625. Now, multiply by the height. 1.5625 x 5 is equal to 7.8125. We now multiply by [tex]\pi[/tex]. We'll use 3.14 to shorten the answer a bit. Multiply 7.8125 by 3.14 and you'll get 24.53125. Last but not least, divide this by 3 (or multiply by [tex]\frac{1}{3}[/tex]). [tex]\frac{24.53125}{3}[/tex] = 8.1770833333... We now must round this to the nearest hundredth. This makes our final answer 8.177 [tex]in^3[/tex].
PLEASEEE HELP I WILL GIVE U BRAIN THING IF ITS CORRECT
Answers
Devin bought c chocolates. Marco bought 2 times as many chocolates as Devin. Write an
expression that shows how many chocolates Marco bought.
Answers
Answer:
2 x c chocolates.
Step-by-step explanation:
This is pretty much just a matter of interpreting the words, substituting "c" for chocolates, and x 2 for "2 times."
Triangle ABC below has a right angle C and a hight CD. If AC is 3 units long and BC is 4 units long, what is the length of AB?
Answers
Answer:
AB = 5
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
=> 3² + 4² = AB²
=> AB = [tex]\sqrt{3^{2}+4^{2} }[/tex]
=> AB = 5
Farmers have learned how to grow watermelons
in the shape shown at the right. What
three-dimensional figure is the watermelon?
Answers
Answer:
it looks like a cube to me lol
Show that the statement is true. If JK has endpoints J(9,0) and K(-3,-4), then the midpoint M of JK lles In Quadrant IV.
URGENT!!!!!!!
Answers
Answer:
True
Step-by-step explanation:
J(9 , 0) ; K(-3 , -4)
Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
[tex]= (\frac{9+(-3)}{2},\frac{0+(-4)}{2}\\\\\\= (\frac{6}{2},\frac{-4}{2})\\\\=(3 , -2)[/tex]
(3 , -2) lies in quadrant IV
1. A baseball coach graphs some data and finds the line of
best fit. The equation for the line of best fit is
y = 0.32x - 20.51, where x is the number of times at bat and
y is the number of hits.
How many hits should he expect from a player who is at bat
175 times?
A) 35 hits
B) 49 hits
C) 609 hits
D) 62 hits
Answers
Answer:
It's answer B, 49 hits. I got it right
Express y in terms of x.
Variables x and y are related so that, when
[tex]y ^{2} [/tex]
is plotted on the vertical axis
and
[tex]2 ^{x} [/tex]
is plotted on the horizontal axis, a straight-line graph which passes
through the point (8, 49) with gradient 3 is obtained.
a Express ya in terms of
[tex] {2}^{x} [/tex]
.
b Find the value of x when y = 11.
Answers
Answer: Saya benar-benar membutuhkan poin tetapi saya tidak ingin dilaporkan jadi saya meletakkan ini adalah terjemahan untuk bahasa yang berbeda. Saya minta maaf untuk umpan atau apa pun namanya tetapi saya benar-benar membutuhkan poin.
Step-by-step explanation:
Each morning, it takes Leah 5 minutes to walk to the bus stop. She rides the bus for 35
minutes and then walks 10 minutes to her office. If Leah needs to be at work by 8:10 A.M.,
what is the latest time she can leave her house?
Answers
Answer:
7:20 A.M.
Step-by-step explanation:
5+35+10=50 mins
So she has to leave 50 mins before 8:10 A.M.
which is 7:20 A.M.
5+35+10= 50
Which means, she would need to leave at least 50 minutes before she has to be at work.
Hope this helps!!
Can I have brainliest..? If not, that’s fine :)
La temperatura mínima en una ciudad el día lunes fue de –2 ºC y la máxima fue de 7 ºC. ¿Cuál fue la variación de temperatura en el día?
Answers
Answer:
La variación de temperatura en el día es 9°C.
Step-by-step explanation:
Cuando tenemos dos valores, uno máximo M y uno mínimo m, la variación entre esos valores es la diferencia (la resta) entre el valor máximo M y el valor mínimo m
variación = M - m
En este caso sabemos que la temperatura mínima es -2°C
La temperatura máxima es 7°C
La variación sera entonces:
Variación = 7°C - (-2°C)
Recordar la regla de los signos:
(-)*(-) = (+)
Entonces:
Variación = 7°C - (-2°C) = 7°C + 2°C = 9°C
La variación de temperatura en el día es 9°C.
I don’t understand this and I need help
Answers
Answer:
sub in the x value for x, so start with y=4(-12)+8
Step-by-step explanation:
Answer:
Step-by-step explanation:
x -12 = y -40
x -7 = y -20
x 0 = y 8
x 5 = y 28
x 14 = y 64
large bag of popcorn costs $ 4. A small bag costs $ 3. The theater sold 59 bags of popcorn and made $ 200. How many of each size was sold?
Answers
Answer:
36 units of small size popcorn
23 Units of Large popcorn
Step-by-step explanation:
Data:-
Cost of large bag of popcorn = $4/-
Cost of Small bag of popcorn = $3/-
Unit Sold = 59 Bags
Sale = $200.
Required:-
No of unit each size sold = ?
Solution:-
After applying direct formula to computation is below mentioned:
= (36 x 3)+(23x4)
=$200
Is 26 a multiple of 2,3, and 6?
Answers
Answer:
i believe that its only a multiple of 2
Answer:
2
Step-by-step explanation:
HELP ME PLS!!! ANSWER QUICKLY!!!
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A bag contains 22 coins consisting of quarters and nickels. The total value of the coins is $3.90. How many nickels are in the bag? *
Answers
Answer:
8 Nickels
Step-by-step explanation:
Since a Nickel is worth 5 cents ($0.05)
And a Quarter is worth 25 ($0.25)
and theres 22 coins
8 of those coins would be nickels which would mean we add 8 nickels up
8 x 0.05 = 0.4
then we add the quarters up
14 x 0.25 = 3.5
3.5 + 0.4 = $3.90
Solve for x:
[tex]5x + 5x = 100[/tex]
Answers
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Step-by-step explanation:
Help me find the value of X please
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(2x + 15) + x = 90º
3x + 15 = 90
3x = 75
x = 25
You borrow $500 to buy a computer. The simple interest rate is 15%. You pay off the loan after 4 years. How much do you pay for the loan?
Answers
Answer:
133.33
Step-by-step explanation:
sorry if im incorrect
Answer:
800
Step-by-step explanation: