Answer:
[tex]TU = 15[/tex]
Step-by-step explanation:
Given
[tex]\square MNOP \simeq\ \square STUV[/tex]
[tex]NO = 10[/tex]
[tex]OP = 4[/tex]
[tex]TU = x[/tex]
[tex]UV = 6[/tex]
Required
Determine the length of TU (i.e. x)
Because both shapes are similar, then the following equivalent ratios exist:
[tex]NO : OP = TU : UV[/tex]
Substitute values for NO, OP, TU and UV
[tex]10 : 4 = x : 6[/tex]
Represent as fraction
[tex]\frac{10 }{ 4 } = \frac{x }{ 6}[/tex]
Multiply both sides by 6
[tex]6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6[/tex]
[tex]6 * \frac{10 }{ 4 } = x[/tex]
[tex]x = 6 * \frac{10 }{ 4 }[/tex]
[tex]x = \frac{60 }{ 4 }[/tex]
[tex]x = 15[/tex]
Hence:
[tex]TU = 15[/tex]
Find −2.45−(−3.9)
-
2
.
45
-
(
-
3
.
9
)
. Write your answer as a decimal to the nearest hundredth.
The nearest hundredth is 1.45.
How to find nearest hundredth?Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth.
Find −2.45−(−3.9)
Remove the parenthes:
-2.45+3.9
calculate the sum or diffrerece
1.45
round the number 1.45
The answer is 1.45
Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth." A hundredth is 1/100 or 0.01 in decimal form. For instance, 2.17 is the result of rounding 2.167 to the nearest tenth.Look at the next place value to the right to round a number to the next hundredth (the thousandths this time).To learn more about nearest hundredth refer to:
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The decimal point is the dot that separates the whole number from the fractional part of the number.
The decimal to the nearest hundredth exists 1.45.
What is meant by decimal number?Integer and non-integer numbers are often expressed using the decimal numeral system.
Decimals are a type of number in algebra that have a whole number and a fractional portion separated by a decimal point. The decimal point is the dot that separates the whole number from the fractional part of the number.
The term "decimal" refers to the base-10 number system, which is arguably the most widely used. The ten single-digit numbers that make up the decimal number system are 0 through 9, or just 1, 2, 3, 4, 5, 6, and 7. 10 is the number that follows 9. 20 comes follows the number 19, and so on.
Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth.
Let the given equation be −2.45 − (−3.9)
= -2.45+3.9
simplifying the above equation, we get
= 1.45
Therefore, the decimal to the nearest hundredth exists 1.45.
The complete question is:
Find -2.45-(-3.9). Write your answer as a decimal to the nearest hundredth.
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Cheyenne bought 60 tickets for rides at an amusement park. Each ride costs 4 tickets, and Cheyenne has been on x rides so far. Write an expression is equivalent to the number of tickets that Cheyenne has left?
Answer:
x=number of rides taken
y=number of tickets left
60=4(x)+y
help me w this multiple choice!
Answer:
D
Step-by-step explanation:
[tex] \sin(30) = \frac{n}{ \frac{10 \sqrt{3} }{3} } \\ 0.5 = \frac{n}{5.77} \\ n = 2.88 = \frac{5 \sqrt{3} }{3} [/tex]
[tex] \cos(30) = \frac{m}{ \frac{10 \sqrt{3} }{3} } \\ 0.866 = \frac{m}{5.77} \\ m = 5[/tex]
Solve - 12x ≤ 72 and then plot the solution set on the number line.
Answer:
(6,0)
Step-by-step explanation:
Used Desmos Scientific calculator.
Please give me the correct answer.
Answer:
C
Step-by-step explanation:
The lake because its constantly increasing at 3 F per hour and at the beach its only 0.5 F per hour. The lake's temperature moved from 71 to 83 in 4 hours which is 12 F in 4 hours which means 3 F per hour. Hence, the lake's temperature was moving at a faster rate.
x-7=7-x find solution
Answer:
7
Step-by-step explanation:
x-7=7-x
2x-7=7
2x=14
x=7
Answer:
x = 7
(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)
The yearbook club had a meeting. The meeting had 24 people, which is three-fourths of the club. How many people are in the club?
Answer:
32
Brainiest plz? :)
Which number best represents the slope of the graphed line?
Answer:
The answer is number four(4).
15. Find the length of x. Round to 1 decimal place.
Which of the following situations could be modeled with a parabola that is concave up? a rocket that is launched into the air a rope bridge a soccer ball being kicked across the field the flow of the water from a water fountain
Answer:
djdjfjfjfhfhfhd ch fmdknfrus M dnqjw
what is ³/8 of 1 dollar
Answer:
Step-by-step explanation:
A dollar is 100 cents
3/8 = .375
0.375 * 100 = 37.5
Rounded it is 38 cents.
i need help asapp i’ll be giving a brainliest to the person with the correct answer
Are they correct? Is that the question? Well, the first one is correct because Slope (m) = -6/1 =-6
Equation of the line:
y = -6x + 15
When x=0, y = 15
When y=0, x = 2.5
and the other one:
Is incorrect and the correct answer is A because y= 7.5x -2. 7.5 is positive, the slope, and -2 is the y-intercept. Its negative.
Hey guys please help!!
Answer:
Yes
Step-by-step explanation:
g(x) = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex]
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex] ....... (1)
(1) × 4
4y = - x + 1
x = - 4y + 1
y = - 4x + 1
f(x) = - 4x + 1
∴ f(x) and g(x) are inverses
1/4 : 10 = x : 4 solve for x
Answer:
Step-by-step explanation:
1/4 :10=1/40
1/40=x/4
x=4/40=1/10
Pls help I hate math
A water container in the shape of a rectangular prism has a length of 2 meters, a width of 3/4 meter, and a height of 1/2 meter. If a cubic meter of water costs $1.20, what is the cost to fill the container?
Answer:
look below!
Step-by-step explanation:
For the length I think you meant 32, and if you did it is $14.40
If not and you meant length of 2 it is $0.90
Answer:
lxwxh for volume.
2x.75x.5 = .75 cubic meters.
.75 percent of 1.20 = .90.
90 cents is the answer.
A store in Madison, Wisconsin, advertised an HDTV for $1,224.95.
a. What is the sales tax if the combined state and city rate is 6 percent?
b. What is the total purchase price?
Answer:
a. $73.50
b. $1298.45
Step-by-step explanation:
6% of $1224.95 is $73.50
add them and it's $1298.45 total
help, will give brainliest, due tonight, help asap
Answer:
(8,5)
Step-by-step explanation:
quadratic formula
In a fruit survey , 30 children choose their favourite
fruit out of apples, bananas and watermelon.10% choose
apples, 30% choose bananas. How many children choose
watermelon?
Answer:
60%
Step-by-step explanation:
Find the values of x and y - will give brainliest if right
Answer:
x=31 and y=45.........
Answer:
4x=3y-11
3y-11=180-56
3y-11=124
3y=135
y=45
4x=124
x=31
Step-by-step explanation:
Two equations that would have a solution of (3,6)
Answer:
[tex]1) y=2x\\2) y=x+3[/tex]
Step-by-step explanation:
[tex]1) y=2x\\2) y=x+3[/tex]
Hope I helped!
Check out my profile for more answers!
A color printer prints 16 pages in 7 minutes.
How many pages does it print per minute?
Lily begins solving the equation 4(x-1)-x=3(x+5)-11. Her work is shown below. 4(x-1) - x = 3 (x+5)-11 4x −4) −x =3x +15 −11 3x-4= 3x+4 How can her solution be interpreted? The equation has no solution The equation has one solution: x=0x=0. The equation has infinitely many solutions. The equation has one solution: x=8x=8.
Answer:
Um...
Step-by-step explanation:
Hai
Muffins cost $3.00 per dozen.
Andre says, “I have $2.00, so I can afford 8 muffins.”
Elena says, “I want to get 16 muffins, so I’ll need to pay $4.00
D you agree with either of them? Explain your reasoning.
Answer:
I agree with both of them
Step-by-step explanation:
A dozen is 12 muffins. Therefore, you pay $3.00 for 12 muffins.
We know that you pay $3.00 for 12 muffins we need to find out how much EACH muffin cost. For that we need to divide $3.00 by 12 which is 0.25.
Now we need to know how much it will cost us for 16 muffins. We use our equation 16*0.25 which is 4. Elena said she will pay 4 so she is right.
Andre said he will buy 8 muffins so we use our equation again 8*0.25 which is 2. He said he will pay 2 so he is right.
Tasha went golfing. Tasha hit the ball 220 yards down the fairway and then 165 yards to the hole. What would have been the shortest distance had she just hit the ball from the tee area to the hole?
Answer:
385 yards
Step-by-step explanation:
From the information provided we can only assume that the two hits that Tasha performed were in a straight line and in the same direction. Otherwise we would need to know the direction and/or angle of the shots. Assuming they were straight, the shortest minimum distance between the tee area and the hole would be calculated by adding the distance of the two shots.
220 yards + 165 yards = 385 yards
How much more would Keri's monthly loan payment be if she got a 5% loan for 5 years?
$
more per month
$9436 EMI Keri has to pay for $500,000 loan at the rate of 5% for 5 years.
What is EMI?equated monthly instalment or EMI relates to payments made regularly to repay an outstanding loan within a certain time frame.
Given loan rate is 5% and time period is 5 years let total amount is $500,000. Formula for EMI Calculation is -
P x R x (1+R)^N / [(1+R)^N-1] where-
P = Principal loan amount.
N = Loan tenure in months.
R = Monthly interest rate.
R = Annual Rate of interest/12/100.
Putting these values in above equation
EMI = 500000 *5* *(1 + 5%)^60 / [(1 + 5%)^60]
EMI = 9436
Therefore, Keri must pay a $9436 EMI on her $500,000 loan over five years at a rate of 5%
Learn more about EMI here:
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A velocity field (in m/s units) is given by u = 2x 2 y, v = − xy2 , w = 0. (a) Obtain the streamline equation and plot several streamlines in the domain 0 x 5, 0 y 5. (b) Find the velocity vector at point (1, 2),
Answer:
I don't know but, try your hardest you can do it! I know you can!
equivalent Find the number that makes the ratio equivalent to 1:7. 4:
Answer:
28
Step-by-step explanation:
Ratios are like fractions. Since you're finding an equivalent ratio, u can set them up like equivalent fractions and put an x where the missing number would go:
[tex]\frac{1}{7} = \frac{4}{x}[/tex]
You can either cross multiply and then solve for x, but it's easier to just think about it. The fractions are equivalent, right? So for them to be the same you'd have to do to the bottom what u do to the top.
To get from 1 to 4, you multiply by 4. By that logic, to get from 7 to x you'd have to multiply by 4 as well. Therefore x = 7x4, which is 28.
So x = 28
HELP ME PLeaseee!!!!
Answer:
x= 8.5, 2x=17, (9x+5)=81.5
Step-by-step explanation:
since the sum of the interior angles of a triangle is 180 degrees, you must add all of the angles and set them equal 180:
[tex]2x + 2(9x+5) = 180[/tex]
next distribute the 2 to 9x + 5.
[tex]2x + 18x + 10 = 180[/tex]
next combine like terms (2x and 18x) and subtract 10 from 180.
[tex]20x = 170[/tex]
finally, divide 170 by twenty.
[tex]\frac{20x = 170}{20}\\,x=8.5[/tex]
the final answer is x=8.5
once x is determined, you can solve 2x and 9x+5.
[tex]2(8.5)=17\\\\9(8.5) +5 =81.5[/tex]
At my birthday party, the girls ate 3 pizzas and the boys at 5 pizzas. How much more pizza did the boys eat than the girls?
Answer:
the answer is 2
Step-by-step explanation:
Answer: The boys ate 2 more pizza's than the girls.
Step-by-step explanation:
Girls = 3 pizzas
Boys = 5 pizzas
Now subtract them:
5 - 3 = 2
4x + y = 14. 5x +2y = 19 solve the simultaneous equation
Answer:
(3, 2 )
Step-by-step explanation:
Given the 2 equations
4x + y = 14 → (1)
5x + 2y = 19 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the y- term
- 8x - 2y = - 28 → (3)
Add (2) and (3) term by term to eliminate y
- 3x + 0 = - 9
- 3x = - 9 ( divide both sides by - 3 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
4(3) + y = 14
12 + y = 14 ( subtract 12 from both sides )
y = 2
solution is (3, 2 )
Step-by-step explanation:
[tex] \underline{ \underline{ \text{USING \: ELIMINATION \: METHOD}}}[/tex]
[tex] \underline{ \underline{ \text{ Solution}}} : [/tex]
[tex] \text{4x + y = 14 - - - - - (i)}[/tex][tex] \text{5x + 2y = 19 \: - - - - - (ii)}[/tex]Multiply equation ( i ) by 2 & Subtract from ( ii ). The equation ( i ) now becomes 8x +2y = 28 { 2 ( 4x + y ) = 2 × 14 }. Remember that while subtracting the sign of each term of equation ( i ) changes and now , it becomes -8x-2y = -28.
[tex] \text{5x + 2y = 19}[/tex]
[tex] \text{ - 8x - 2y = - 28}[/tex]
_____________________
[tex] \text{ - 3x = - 9}[/tex]
Solve for x :
⤑ [tex] \tt{x = \frac{ - 9}{ - 3}} [/tex]
⤑ [tex] \tt{x = 3}[/tex]
Now , substitute the value of x in equation ( ii ) :
⟼ [tex] \text{5 × \: 3 + 2y = 19}[/tex]
⟼ [tex] \text{15 + 2y = 19} [/tex]
⟼ [tex] \text{2y = 19 - 15}[/tex]
⟼ [tex] \text{2y = 4}[/tex]
⟼ [tex] \text{y = 2}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{⤿ \: Our \: final \: answer : \boxed{ \boxed{ \tt{x = 3 \: and \: y = 4}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day night ! ♡
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