Answer:
24
Step-by-step explanation:
Using ratios, we know that PQ/PT = PR/PS = QR/TS
of course, we know this because of AA similarity.
PQ/PT = 1/2
so PR/PS = 1/2 => PS = 12*2 = 24
Answer:
24
Step-by-step explanation:
PQ is half of PT, therefore, if PR = 12, PS = 24
A tree casts a shadow of 18 feet. A horse standing 9 feet tall casts a 6-foot shadow. Determine
the height of the tree to the nearest foot
A.27 feet
B.21 feet
C.25 feet
D.20 feet
I don’t have time pls
Answer:
D
Step-by-step explanation:
2 sides of a triangle have measures of 5 inches and 11 inches which measure could be the length of the third side
Answer:
the third side must be greater than 6 but less than 16
Step-by-step explanation:
use triangle inequality theorem - 3 scenarios (one of which is discounted because it produces a negative and a side of a triangle cannot be negative)
5 + 11 > 3rd side (n) n < 16
5 + n > 11 n > 6
11 + n > 5; n > -6 discounted
The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main entrance to the building is 4 feet above the sidewalk level. The angle of elevation from where the ramp and sidewalk would meet is 8.1°. Determine the length of the ramp to the nearest tenth of a foot.
Answer:
0.6 feet
Step-by-step explanation:
We solve this question using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent.
Where:
Opposite = Height /Length of the ramp = ?
Adjacent = Distance from the base of the ramp = 4 feet
θ = 8.1°
Therefore,
tan 8.1° = x/4
Cross Multiply
x = tan 8.1 × 4
x = 0.5692843028 feet
Approximately = 0.6 feet
Length of the ramp = 0.6 feet.
Solve for v.
19v – 18 = 16 + 17v
Answer:
v= 17
Step-by-step explanation:
Start with the given equation.
19v – 18 = 16 + 17v
Move -18 to the other side, and swap it's sign.
19v = 16 + 18 + 17v
Move 17v to the other side and swap it's sign.
19v - 17v = 16 + 18
Combine like terms.
2v = 34
Divide by 2v.
v = 17
Answer:
v = 17
Step-by-step explanation:
Given
19v - 18 = 16 + 17v ( subtract 17v from both sides )
2v - 18 = 16 ( add 18 to both sides )
2v = 34 ( divide both sides by 2 )
v = 17
The sum of the digits of a positive 2-digit number is 12. The units digit is 3 times the tens digit. Find the number
Answer:
44
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
Let’s call the tens digit x and the unit digit y. From the question we know that x + y = 12 and that x = y^2, giving us the following system of equations:
x + y = 12
x - y^2 = 0
Let’s multiply the second one by -1, to get rid of one of the unknowns in the system.
x + y = 12
-x + y^2 = 0
By adding together the two, we get y^2 + y = 12. As that is a quadratic equation, let’s make it of the form Ay^2 + By + C = 0, so subtracting 12 from each side gives as y^2 + y - 12 = 0. Then let’s solve the quadratic equation to find out the two values of y we get out of it, one of which is legal in the above system of equations.
y = (-B +/- sqrt(B^2–4AC))/2A
This time, both A and B are 1, while C is -12. By entering them in the above formula, we get the inner part of the square root to be 49, and thus the square root to give 7. So solving y = (-1 +/- 7)/2 gives two alternatives, either y = -4 (impossible, as it has to be a digit, ie has to be between 0 and 9 inclusive) or y = 3.
Then let’s return to the system of equations, and as both digits appear without any modifiers in the first one, let’s use it to find x with. So x + 3 = 12, x = 12 - 3, x = 9.
As x is the tens digit and y the unit digit per how the variables were chosen, we can with confidence say that the number is 93.
3,000 is 1/10 of?-
300
300,000
3,000
30,000
Answer:
30,000
Step-by-step explanation:
3,000 times 10 is 30,000, therefore 30,000/10=3,000
Answer:
Step-by-step explanation:
3000 of 1/10
3000*0.1=300
helpppppp i took a pic because just in case yall don't understand
Answer:
last one
Step-by-step explanation:
the last one because it cannot be expressed as a fraction.
Davita brought 6 granola bars for herself and the 7 other girls in her camp group for a snack . If they share them equally, what fraction of a granola bar will each girl get
Answer: 3/4 granola bars
Step-by-step explanation:
From the question, we are given the information that Davita brought 6 granola bars for herself and the 7 other girls in her camp group.
The fraction of a granola bar that each girl gets if they agree it equally would be the number of granola bars bought divided by the total number of girls which is 8. Therefore, the calculation would be:
= 6 ÷ 8.
= 3/4 granola bars
Each person gets 3/4 granola bars.
The fraction of a granola bar that each girl will get is 3/4
To get the fraction of a granola bar will each girl get, we will take the ratio of the total granola to total number of girls.
Given the following parameters
Total number of 6 granola bars
Total number of girls plus Davita is 8
Taking the required ratio;
Ratio = number of granola: total number of girls
Ratio = 6:8
Ratio = 3:4
Hence the fraction of a granola bar that each girl will get is 3/4
Learn more on fractions here; https://brainly.com/question/24191335
Please help me out!
1. there are two methods to solve this system
I.substition
from the first relation we can deduct
2a-b=4
2a=4+b
a=(4+b)/2
now we substitute a in the second relation
(4+b)/2+b=5
we multiply by 2
4+b+2b=10
3b=6
b=6/3=2
a+2=5
a=3
II.reduction
2a-b=4
a+b=5
we can add the two relations together
2a+a-b+b=4+5
3a=9
a=3
3+b=5
b=2
SOMEONE PLEASE HELP!!!
Select the reason why these triangles are
similar. If they are not, select "Not similar".
Answer:
not similar bcs side are not in ratio
Choose the correct compound inequality for the graph below
Answer:
The first one is the correct one
Find the measure of the missing angle.
Answer:
It's 155
Step-by-step explanation:
Since the whole angle is 180
And u got 25
So 180-25=155
Answer:
155
Step-by-step explanation:
a+25=180
a. =180-25
a. = 155
Find the exact length of the third side.
39
36
The answer is 15 cm
39 cm, 15 cm, 36 cm
CH3CH2CHCH2CH3OH name ?
What fraction will equal 1
Answer:
Any fraction with the same number on both the top and bottom
Step-by-step explanation:
example: 1/1 and 2/2
Answer:
2/2, 10/10
Step-by-step explanation: They all equal one
I need help with this conjugate of the equation above
Answer:
8-√5
I hope this is good enough:
The conjugate of a two-term expression is just the same expression with subtraction switched to addition or vice versa.
Find the midpoint of the segment.
A. (1.5, 2)
B. (6, 8)
C. (2, 1.5)
C=5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
3. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
D) I and II only
Step-by-step explanation:
Jared sells jewelry online he can make 25 necklaces from 375 beads yesterday he made 21 necklaces. How many beads did Jared used to make necklaces yesterday?
Answer:
315 beads
Step-by-step explanation:
The question above is calculated as:
25 necklaces = 375 beads
21 necklaces = x beads
Cross Multiply
25x = 21 × 375
x = 21 × 375/25
x = 7875 / 25
x = 315 beads
Hence, Jared used 315 beads to make 21 necklaces yesterday
Find the value of x.
Answer:
81 degrees
Step-by-step explanation:
Step-by-step explanation:
Here,
X+128+100+51=360
X+279=360
X=360-279
:.x=81
I WILL GIVE THE BRAINLYEST ANSWER WHO EVER ANSWRS THIS QUICKLY AND CORRECTLY
Kiera used her calculator to work out the value of a
number x. She wrote down the first two digits of the
answer on her calculator. She wrote down 7.3.
Write down the error interval for x.
Answer:
7.3≤x<7.4
Step-by-step explanation:
−2(1 − 5v) Please help with this i got it wrong twice
Answer:
Step-by-step explanation:
Sorry for the bad handwriting :(
Marsha deposited $8500 into a savings account 2 years ago. The simple interest rate is 5% how much did Marsha earn in interest
Answer:
Marsha earned interest = $850
Step-by-step explanation:
Amount deposited = $8500
Time = 2 years
Interest rate = 5% = 0.05
We need to find how much did Marsha earn in interest
The formula use is: [tex]I=P\times r \times t[/tex]
Where I is interest earned, P is amount deposited, r is interest rate and t is time.
Putting values and finding interest.
[tex]I=P\times r \times t\\I=8500\times 2\times 0.05\\I=850[/tex]
So, Marsha earned interest = $850
Simplify the expression
6s-6s=?
Answer:
0
Step-by-step explanation:
6-6=0 so when you multiply s by 0 its 0
Betsy earns $15.50 per hour working as a hairdresser. Each week, she earns an
average of $150 in tips. Write an equation to determine how many
hours Betsy worked in a week where she was paid a total of $739
Answer:So you subtract 150 from 739 which is 598 and then you divide 589 with 15.50 which is 38. The answer is 38 hours
Step-by-step explanation:
739-150=589
589/15.50 is 38
The answer is 38 hours
3. What is the graph that represents y = x-3
Answer:
Option C
Step-by-step explanation:
-3 is the y intercept so the graph should intersect at -3 on the y axis.
x is positive so the graph should point up.
Answer:
Option C
Step-by-step explanation:
By looking at the equation y = x - 3 we can see that the slope is positive (so the line will have an upward trend) and that the y intercept is - 3 (which mean the line will go through the y axis in that point. So now we have two following statement....
line has an upward trendline has the y intercept of (0,-3)The only line following this statements is line C.
what is the slope for the equation 5x-2y=18
Answer:
slope:5/2
y-intercept:-9
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
First, we need to change the equation into slope-intercept form.
5x-2y=18 Isolate the y by subtracting 5x on both sides.
-5x -5x
-2y=-5x+18 Divide both sides by -2.
/-2 /-2
y=2.5x-9
The slope is the number next to x, so the slope is 2.5.
Hope this helps! Have a great day C:
hiii please help i’ll give brainliest if
you give a correct answer and maybe explain thankss
Answer:
4:3
16:12
Step-by-step explanation:
Both of those numbers can be multiplied or divided to equal 8:6
PLEASE HELP AND QUICK WILL GIVE THANKS
Answer:
15.012
Step-by-step explanation:
tan(theta) = opposite/adjacent
tan65 = x/7
x = 7tan65
x = 15.012
hope this helped!
Write the standard equation of the circle.
I’ll give brainliest!