The length of side ST of the triangle SRT using concept of similar triangles is; ST = 22 km
How to find Length of Similar Triangles?We are given a Triangle PQR.
In Triangle PQR, Side PQ = 16 kilometers and side PR = 24 kilometers.
In Triangle SRT, Side RT = 33 kilometers.
Using concept of ratio of similar triangles, we can say that;
ST/RT = PQ/PR
Thus;
ST = RT * (PQ/PR)
ST = 33 * (16/24)
ST = 22 Km
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mrs. jenningswants to take her kids on a field trip to the musem. the bus cost a total 100 and the meusem will charge 2 per student. what is the maximum number od students that mrs. jennings cantake to the meusem without exceeding her budget of 150
On a budget of $150, Mrs. Jennings will only be able to take 25 kids to the museum.
Mrs. Jennings has $150 in total and has to spend it on the bus and getting the kids into the museum.
After she spends on the bus, she will be left with:
= Budget - Cost of bus
= 150 - 100
= $50
She then spends $2 per kid. The total number of kids she can bring into the museum is:
= Amount remaining/ Cost per kid
= 50 / 2
= 25 kids
In conclusion, she can only take 25 kids.
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8. Elijah has $2800.00. He gets a check for $300.00. He takes his mom out for dinner that costs $150.00. He finds$200.00 on Utopian Street, he then pays his friend Christian back $175, finally he pays his car insurance for $115.How much money does he have left?__________
Answer:
$2060
Step-by-step explanation:
2800+300-150-175-115= $2060
Answer:
2860
Step-by-step explanation:
2800+300-150+200-175-115=2860
If u(x) = x^5-x^4x+x^2 and v(x)=-x^2, which expression is equivalent to (u/v)(x)?
Step-by-step explanation:
(x^5/-x^2)-(x^4x/-x^2)+(x^2/-x^2)
-x^3+x^2-1
Identify the domain
of the following function.
PLS HELP
Which angle is congruent to 7? Select all that apply
Answer:
angles 5, 1, and 3
Simplify, the solve.
Answer:
1/64
Step-by-step explanation:
4x4^3/4^7
4^-3
1/4^3
1/64
pls help me this is due tonight by 8 40
Answer:
a. gh³
b. xy³
Step-by-step explanation:
a. [tex]g^{3-2}[/tex][tex]h^{5-2}[/tex] = gh³
b. [tex]x^{3-2} y^{4-1} p^{1-1}[/tex] = xy³
Use the negative exponent rule.
A politician has $4,200 to buy TV advertisements. If each advertisement costs $700, how many advertisements can the politician buy?
they can buy 6 tv advertisements.
What is the image point of (9, -1) after the transformation T-4,-3 0 R270°?
Answer:
Given A point (9,-1) is first translated by rule T-4,3 : ( x,y ) goes ( x - 4 , y+ 3) followed by rotation of 270°
rule of rotation of 270° : ( x , y ) goes ( y,-x )
image of ( 9 , -1) after translation :
( 9 - 1) goes (-9,-1+3)=(-9,2)
then , image after rotation of 270° :
( -9,2 ) goes (2,9 p
hence , the image point of ( 9,-1 ) (9,-1)
after the transformation T-4,3 and rotation of 270°i is ( 2,9 ).
Step-by-step explanation:
hope it helps
please help me asap and show your work
Answer:
We need a question
Step-by-step explanation:
what multiplies to get 27 but adds to get -1
Answer:
9×3
and
-26
Step-by-step explanation:
9×3=27
27+-26
Use the vertical line test to determine whether the relation graphed below is a function.
A. Yes
B. No
C. It cannot be determined.
Answer:
No
Step-by-step explanation:
Draw a vertical line. If a vertical line passes through two or more points on the graph, it is not a function. Since it passes through 2 points, it is not a function
Please take a look at the picture.
How do u write 6000 in standard form
Answer:
6× 10^3 is the standard form of 6000
Answer:
I write 6000 , Six thousand in standard form.
need an answer, please need an answer, please
Answer:
Step-by-step explanation:
1) 6 and -5
x₁ + x₂ = 6 +(-5) = 1
x₁* x₂ = 6*(-5) = -30
x² -(x₁ + x₂)x + (x₁* x₂)=0
x² - x - 30 = 0
2) 4 and 7
x₁ + x₂ =4 + 7 = 11
x₁* x₂ = 4*7 = 28
x² - 11x + 28 = 0
3) 1 and -10
x₁ + x₂ = 1 +(-10) = -9
x₁* x₂ = 1*(-10) = -10
x² - 9x - 10 = 0
4) -9 and 0
x₁ + x₂ = -9 + 0 = -9
x₁* x₂ = 0
x² - (-9)x = 0
x² + 9x = 0
5)2 and 6
x₁ + x₂ = 2 + 6 = 8
x₁* x₂ = 2*6 = 12
x² -8x + 12 = 0
8) 2 +√3 and 2 - √3
x₁ + x₂ = 2+ √3 + 2 - √3 = 4
x₁* x₂ = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1
x² - 4x + 1 = 0
Write the equation of the line perpendicular to 2x+3y=7 that passes through the point (-4, 6). Write your answer in slope-intercept form.
Answer:
Ig This Would Be The Answer
Step-by-step explanation:
Reorder 73 7 3 and 2x3 2 x 3 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 23 .
5. Ken was at bat 120 times during the baseball season. If he hit the ball
15% of the time, how many times did he have a hit?
HEEEEEEEEEEEEEEEELP MEEEEEEEEEEEEEEEEEEEEEE
answer: the inequality is 3+7(x)<24
x=x < 3 2/7
Step-by-step explanation:
because...
3 + 7x < 26
7x < 23
x < 23/7
x < 3 2/7
Answer:
More/Product is a key word to multiply so 3X7 and less is a key word to subtract so your subtracting X from 24
3x7=21 and that's 3 less than 24
The answer is 3
Step-by-step explanation:
This table shows the relationship between time and push-ups.
Which of the following values could represent the value of r2 for this relationship?
r2 = ‒0.9646
r2 = ‒0.0354
r2 = 0.0354
r2 = 0.9646
Answer:
D
Step-by-step explanation: i <3 satistics so much
What’s an equivalent fractions for 6/8 with a 20 as the new denominator
Answer:
15/20
Step-by-step explanation:
Divide your denominator by your previous/compared denominator (20/8) to find the number as your numerator. Take the found numerator (2.5) and multiply it times the compared numerator (2.5 x 6) giving your 15/20.
Hopes this helps!
Cecilia owns just as many cats as she does birds. If her pets have a total of 18 legs, how many cats does she own?
Answer:
1
Step-by-step explanation:
You can get this answer by adding 4+4+4+4, equaling out to 16...but how is there 18? well you just add 2 for the bird's legs and that's your answer!!
Hope this helps you love!!!
Answer:
3
Step-by-step explanation:
3 cats with 4 legs = 12
3 birds with 2 legs =6
12 + 6=18
A. 23.7
B. 8.7
C. 13.8
D. 9.5
Answer:
a
Step-by-step explanation:
just cuzyfhyf
I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on
Hi there!
What we need to know:
The three main trigonometric ratios are sine, cosine and tangent:
[tex]\displaystyle sin\theta=\frac{opposite}{hypotenuse}[/tex] [tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex] [tex]\displaystyle tan\theta=\frac{opposite}{adjacent}[/tex]
"Opposite" refers to the side opposite the angle that is not the hypotenuse.
"Hypotenuse" refers to the side opposite the right angle of a right triangle.
"Adjacent" refers to the side next to the angle that is not the hypotenuse.
"θ" is read as "theta". It just represents the angle.
Keep in mind that these three ratios only apply to right triangles.
You can use the mnemonic "soh-cah-toa" to help you remember these ratios.
First question
For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.
Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:
[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information:
[tex]\displaystyle cos56=\frac{a}{13}[/tex]
Isolate a by multiplying both sides by 13:
[tex]13\displaystyle cos56=a[/tex]
Solve using a calculator:
[tex]a=7.3[/tex]
Therefore, a is equal to 7.3 when rounded to 1 decimal place.
Other information you will need to know:
In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:
[tex]\displaystyle sin\theta=\frac{5}{8}[/tex]
In this case, we will use the inverse sine ratio:
[tex]\displaystyle \theta=sin^-^1(\frac{5}{8})[/tex]
Solve using a calculator:
[tex]\displaystyle \theta=39[/tex]
Therefore, the angle would equal approximately 39 degrees.
I hope this helps!
What is 3763.2 ÷0.512 with the work that goes with it.
Answer:
7350
Explanation:
3763.2/0.512 can be determined by simply dividing.
Determine whether the ordered pair (6,5) is a solution to the equation -2x +y = -7.
O Yes, (6,5) is a solution.
O No.(6,5) is not a solution.
Answer:
yes (6,5) is a solution
Step-by-step explanation:
Write the slope-intercept equation of the line passing through (3.5) and (10.-7). Do not give decimals in your answer.
Answer:
Answer:
y = -12/7x + 71/7
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - 5 / 10 - 3
-12/7
y = -12/7x + b
5 = -12/7(3) + b
5 = -36/7 + b
71/7 = b
1) (2.01) Identify domain and range. Then determine whether the relation is a function or not. Explain your reasoning.
x y
2 2
-1 4
0 6
3 2
Is this relation a function? Why or why not?
Thomas, a waiter at a local restaurant, is paid $ 4 an hour plus tips. His friend Marie works at a local bookstore for $12 an hour. Marie and Thomas worked the same number of hours. If Thomas made $120 in tips and both made the same amount of money, how many hours
1.please just give me the first step on how it’s written out
Answer:
15 hours
Step-by-step explanation:
Let h = numbers of hour worked, x = tips, t = Thomas' pay, and m = Marie's pay
We can set up an equation for this question:
t = 4h + x
Now plug in 120 for x
t = 4h + 120
Now we set up Marie's pay:
m = 12h
Since Thomas and Marie made the same amount of money over the same number of hours, we can say:
4h + 120 = 12h
120 = 8h
h = 15
This means they both worked for 15 hours.
ABC, Construct a triangle ABC, <B =90° AB= 4cm AC=5cm. Find the third side.
Helpppp
Pythagoras Theorem
BC = 3 cm
Step by step explanation :
» Attached «
solve 4x + 5 = x + 8 please
Answer:
x = 1
Step-by-step explanation:
4x+5=x+8
4x-x = 8-5
3x=3
x=1
Answer:
1
Step-by-step explanation:
4*1 = 4
4+5 =9
1+8=9
9=9