Answer:
207 cm
Step-by-step explanation:
Because ΔPQR ≅ΔSTU and the longest side in the ΔPQR is RP then the longest side in ΔSTU must be SU = 92 cm
Perimeter of triangle PQR is
P(ΔPQR) = 36+48+24 = 108 cm
Because the triangles are are similar their sides are in proportion.
But how much bigger did the second triangle get?...is (92/48) times bigger
P(ΔSTU) = 180*(92/48) = 207 cm
...you can also use proportions to find each side and then find the perimeter
TU = 24*92 /48 = 46
TS = 36*92/48 = 69
SU = 92
P(ΔSTU) = 92+69+46 =207 cm
*the triangles are not drawn to scale
The point A(−4,5) is reflected over the point (2,3) and its image is point B. What are the coordinates of point B?
Answer: (8,1)
Step-by-step explanation:
The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b
b = 3 2/3
The equation for the line is y = -(1/3)x + 3 2/3
The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1
The point is (8,1)
A line is represented by the equation y = x + 2. Suppose the slope of the line was doubled and the value of the y-intercept was divided by 2. What is the equation of the new line?
Answer:
y = 2x + 1
Step-by-step explanation:
slope is the coefficient of the 'x' term, in this case 1
doubling 1 gives you 2
y-intercept is 2, dividing this by 2 gives you 1
for f(x)=5x+1 find f(-4)
Answer:
-19
Step-by-step explanation:
f(-4) = 5(-4)+1 = -20+1 = -19
The figure is a drawing of a field that will be planted with new grass. What is the area of the field?
a 36.0 ft2
b 292.5 ft2
c 1,296.0 ft2
d 270.0 ft2
Answer:
Step-by-step explanation:
) Which list orders the fractions from least to greatest? A.) ½, ¾, ¼, ⅜ B.) ¾, ½, ⅜, ¼ C.) ¼, ⅜, ½, ¾ D.) ⅜, ½, ¾,
Answer:
I believe the answer is C
7819 rounded to 1 significant figure
Answer:
8000
Step-by-step explanation:
what is 8 divided by 9/10
7 divided by 5/8
8 divided by 1/2
9 divided by 2/3
8 divided by 5/8
8 divided by 1/4
1 divided by 5/10
8 divided by 1/3
Answer:
8 divided by 9/10
= 8.8888... = 8 8/9
7 divided by 5/8
= 11.2 = 11 1/5
8 divided by 1/2
= 16
9 divided by 2/3
= 13.5 = 13 1/2
8 divided by 5/8
= 12.8 = 12 4/5
8 divided by 1/4
= 32
1 divided by 5/10
= 2
8 divided by 1/3
= 24
Step-by-step explanation:
4-2y=-2x in slope intercept form
Answer:
y=x+2
Step-by-step explanation:
4-2y=-2x
Divide everything by 2.
2-y=-x
Switch to y=mx+b form.
-y=-x-2
Multiply everything by +1.
y=x+2
Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?
The correct option is D f⁻¹(x) = 2 + √(x + 2).
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The inverse function of a function f in mathematics is a function that reverses the operation of f.
The given function is f(x) = 1 / (2 + √(x + 2)). The inverse function of the given function is,
f⁻¹(x) = 2 + √( x + 2).
Therefore, the correct option is D f⁻¹(x) = 2 + √( x + 2 ).
To know more about a function follow
brainly.com/question/3831584
#SPJ1
please help im confused
Hi there!
We are given two exterior angles. Don't panic! We know that exterior angles form a linear pair, which means they add up to 180 degrees.
180-130=50
180-96=84
Now that we have those angles, how can we work out the value of x?
Turns out that all the angles in any triangle add up to 180 degrees.
So
180-84-50=46 degrees.
So the value of x is 46 degrees.
Now let's work out the value of x in the next problem.
180-126=54
180-54-43=83 degrees
So the value of x in this problem is 83 degrees.
Let's move on to the third problem.
At first, it seems like we do not have enough information.
If we know that the right angle is 90 degrees (it is shown by a little square), then we have enough information.
180-90-43=47 degrees
So the value of x is 47 degrees.
Hope this helps you!
~Just an emotional teen who listens to her favorite song "Try Everything"
[tex]SilentNature[/tex]
Write an equation in slope-intercept form for the line with slope 1/4 and y-intercept -3
Answer: [tex]y=\frac{1}{4}x-3[/tex]
Step-by-step explanation:
Cuantos lugares sobran de acuerdo con el número de las mesas y de los invitados que te tienen?
Answer:la cantidad de invitados y la cantidad de mesas que no nos dio por favor agréguelo para que pueda ayudarlo :))
Step-by-step explanation:
Please help meeeee how do you reflect this?????
Answer:4 units down and 2 units right if I’m wrong I’m sry
Step-by-step explanation:
Answer:
Please I can't see the question well
6. What type of slope does the equation
7x + 3y = 15 have? (Hint: convert to slope
intercept form.)
A) positive
B) Negative
C) Zero
D) Undefined
We can convert the line 7x + 3y = 15 into the slope-intercept form (y = mx + c) by making y the subject of the equation. In this form the coefficient of x (m) is the slope.
Since 7x + 3y = 15
3y = -7x + 15
y = - ⁷/₃x + 5
∴ the slope is NEGATIVE.
Check your answer:
A line with a negative slope is highest to the left and lowest to the right. This is because when x values increase, the y values decrease, and when x values decrease, y values increase (the two variables are negatively related). If we graph the line this should be true, and it is.
Plss answerrrr thankyou!!
Answer:
Step-by-step explanation:
1 5/8 = 13/8
so
5/8 + 8/8
10/8 + 3/8
i could go on forever but.
do ya want to impress ya teacher?
500/800 + 800/800
and
2/4 + 4/4
*Add 6 to the difference between 9 and 7*
Answer:
(9-7)+6
2+6
8...........
Answer:8
Step-by-step explanation:9-7=2. 2+6=8
f(x)=3x-7 input is 3
Answer:
The answer is f(x)=2
Step-by-step explanation:
When the input is given it means that the x is substituted by that number.
so 3x3-7.
3x3-7
9-7=2.
The f of x is equivalent to 2.
I hope this helps :D
calculate the time taken for a train to travel 1000m if its initial is 3 m/s and it is moving at a constant acceleration of 0.1m/s^2
Answer:
Step-by-step explanation:
For obects already in motion, the distance travelled, s, is:
s = vi*t + (1/2)at^2
where vi is the initial velocity, a is the acceleration, and t is the time in seconds.
We want the time, t, to reach 1000 meters.
1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)
(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2
0.05t^2 + 3t -1000 = 0
Solve quadratic equation:
t = 114.6 seconds
Which expression is equivalent to 6m + (m – 2)(m + 7) + 3?
Answer:
m^2+11m-11.
Step-by-step explanation:
Answer: When x=10 , both expressions have a value of 33. James determined that these two expressions were equivalent expressions using the values of x= 4 and x=6 .Which statements are true? Check all that apply. When x=2, both expressions have a value of 18. The expressions have equivalent values for any value of x.
Step-by-step explanation:
Hope this helps!
q
1
y=qx
P
Write x in terms of p, q and y.
Answer:
x = [tex]\frac{y}{pq}[/tex]
Step-by-step explanation:
y = pqx ( isolate x by dividing both sides by pq )
[tex]\frac{y}{pq}[/tex] = x
Jodi is going to start up a cookie baking business over the summer to make some extra money. It costs her $2.45 in supplies to make a dozen cookies. She wants to markup the price by 150%. How much should she sell a dozen cookies for? $
Rachna borrowed a certain sum at the rate of 15% per annum. if she paid at the end of the two years Rs.1290 as interest Compounded annually, find the sum she borrowed.
Given info:
Compound Interest = Rs.1290
Rate of Interest = 15% p.a
Time = 2 years
Formula we have to know:-[tex] \dag{\underline{\boxed{\sf{C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1}}}}[/tex]
Where
C.I = Compound Interest
P = Principle
R = Rate of Interest
N = Time
[tex]\textsf{ \underline{Solution-}}\\[/tex]
Here
C.I = Rs.1290
R = 15%
N = 2 years
Principle = ?
Now,Calculating the sum (Principle) borrowed by Rachna
[tex] \quad{: \implies{\sf{C.I = \Bigg[P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1 \Bigg]}}}[/tex]
Substituting the given values
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(1 + \dfrac{15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{(1 \times 100) + 15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \times \dfrac{115}{100} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{13225}{10000} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg( \cancel{\dfrac{13225}{10000}} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg({1.3225 - 1} \bigg) \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = P \times {0.3225}}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{1290}{0.3225} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{1290 \times 1000}{0.3225 \times 1000} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{12900000}{3225} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\cancel{\dfrac{12900000}{3225}} = P}}}[/tex]
[tex]\quad{: \implies{\sf{Rs.4000 = P}}}[/tex]
[tex]\quad{\dag{\underline{\boxed{\tt{\blue{Principle} = \purple{Rs.4000 }}}}}}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
Hence,
The sum (Principle) is Rs.4000.
Leticia spends $18.45 on a shirt. She spends at least $3.00 more than Humberto spends. If h represents the amount Humberto spends, which symbol can be used to complete the inequality below to represent this situation?
18.45 blank 3 + h
>
<
Greater-than-or-equal-to
Less-than-or-equal-to
Answer:
>
Step-by-step explanation:
28.45 >3+hgydnjsjsjjsjkso
1260=(n-2) x 180what is n?
Answer:
N = 9
Step-by-step explanation:
1. 1260 / 180 = 7
2. Because we removed 2 before, we're going to add 2 because we're doing it in reverse and we get 9, therefore the answer is 9
7 pls pls pls help meeee!
A recipe that would make 18 cupcakes
calls for 4 teaspoons of vanilla. How
many cupcakes is that per teaspoon?
Answer:
Hello there,
Let's solve,
It takes 4tsp for 18 cupcakes
thus for 1tsp it'll be,
= 18/4
= 4 and a half cupcake
That is one teaspoon of vanilla is needed for 4 and a half cupcakes.
All the best!
Jose has 4 times as many baseball cards as his brother. Together they have 40 baseball cards. How many baseball cards does Jose's brother have?
Answer:
Ummm..... I would think 10??
Step-by-step explanation:
I don't really know tho.....
Answer:
10
Step-by-step explanation:
4x = 40
/4 /4
x = 10
FIND THE FACTORS OF THE FOLLOWING POLYNOMIAL 3y²-2y-1
Answer:
y
[tex] y2 - 2y - 3[/tex]
[tex](y - 1)(y + 3) [/tex]
[tex](3y - 1)(3y + 3)[/tex]
Step-by-step explanation:
you multiple the 3 with the 1
then factor
then divide by 3 again but the denominator goes in front of the y.
There are ten eggs in a carton. How many eggs are in four cartons?
Answer:
40 because 10 x 4 = 40
Step-by-step explanation:
Dude this is baby level question
Answer is 10×4= 40
So 40 Eggs
what is the unit rate of 588 and 12
Answer:
49
Step-by-step explanation:
588 divided by 12 49
___ = -------
12 divided by 12 1
Hope this helped, click thanks if it did