Answer:
EI = 30
GH = 30
RS = 10
Step-by-step explanation:
Given: PQRST ~ HGFEI
From inspection of the diagram, the corresponding sides are:
RS ~ FE
ST ~ EI
TP ~ IH
QP ~ GH
QR ~ GF
The only pair of sides that both have side lengths are QR and FG. Therefore, we can use these to work out the scale factor of dilation.
QR = 8 and GF = 20
⇒ GF/QR = 20/8 = 2.5
Therefore, HGFEI is an enlargement of PQRST by a scale factor of 2.5
If ST = 12,
⇒ EI = 12 x 2.5 = 30
If QP = 12,
⇒ GH = 12 x 2.5 = 30
If EF = 25,
⇒ RS = 25 / 2.5 = 10
If IH = 15,
⇒ TP = 15 / 2.5 = 6
Answer:
See below ~
Step-by-step explanation:
As they are similar, find the scale factor.
QR ~ GF8 : 202 : 5Finding EI
ST ~ EIST : EI = 2 : 5EI = 5 x 12 / 2 EI = 30Finding GH
QP : GH = 2 : 5GH = 5 x 12 / 2GH = 30Finding RS
RS : FE = 2 : 5RS = 2 x 25 / 5RS = 10find the dimension of a rectangle whose width is 6 miles less than it width and whose area is 72 square miles.
Complete two expressions that have the same product as 3×5/12
Answer:
1. 5/(2+2)= 5/4= 1.25
2. 5/(2x2)= 5/4= 1.25
Step-by-step explanation:
3x5/12= 15/12= 1.25
maths j2 a road is 300km long is drawn to a scale of 1cm represents 50km . what is it's length on drawing?
Answer: 6cm.
Step-by-step explanation:
Strategy 1 (in-head thinking)
300 divided by 50 would be 6, multiply 6 by 1 and get 6cm.
Strategy 2 (proportions)
First, set up a proportion.
We know that 1cm = 50km, so we put them on a fraction (whichever is denominator/numerator doesn’t affect the process)
However, we don’t know how much cm equals 300km, so we turn that into a variable, in this case x.
1cm x cm
——— ———
50km 300km
To solve a proportion, go diagonal to where the variables have already been filled in. You can’t so 50km and x cm, as you don’t know x. You can do 300km however. To start, multiply 1 and 300, to which you get 300. Then, multiply 300 by the 50km and you’ll get x. That’ll equal to 6.
So in conclusion, your answer is 6.
Determine the solution to the system of equations graphed below and explain your reasoning complete sentences: glx) = -2x - 3 f(x) - kx+1l-4
Answer:
I hope it helps you
PLEASE MARK ME BRAINLIESTс
Fruit-O-Rama sells dried pineapple for $0.25 per
ounce Mags spent a total of $2.65 on pineapple.
How many ounces did she buy?
OZ
Answer:
10.6 oz
Step-by-step explanation:
X × 0.25 = 0.265
x= 2.65/0.25= 10.6 oz
In FGH,FH =7 ft,FG=12 ft and m
Answer:1) In Δ FGH,
FH=7 ft, FG=12 ft,
∠F=70 degrees
By "Law of cosines":
So,By applying Law of Sines , we get that
Hence, Option 'D' is correct.
2) In Δ XYZ,
XY=14, ∠Y=22°, and XZ=26
By using "Law of sines":
so, X = 147° , Y = 22° , Z = 11.6°
Step-by-step explanation:
“A number decreased by 16 is
Answer:
Step-by-step explanation:
A number decreased by 16 is − 3
hope this helps.
mark me brainliest please.
Two groups of tourist fly to Japan. It takes the first group 4 hours less than the second to fly
there. If it takes the first group 17 hours, how many hours does it take the second group?
Answer:
21
Step-by-step explanation:
think about it this way. if the first group takes 17 hours, and the second group takes 4 hours more than the first group, then how long does the second group take?
Hi there please help me on this
Answer:
[tex]\tan(X)=\dfrac{77}{36}[/tex]
Step-by-step explanation:
First we need to find the length of side WX.
To do this, use Pythagoras' Theorem: [tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
[tex]\implies WX^2+77^2=85^2[/tex]
[tex]\implies WX^2=85^2-77^2[/tex]
[tex]\implies WX=\sqrt{85^2-77^2}[/tex]
[tex]\implies WX=36[/tex]
Now use the Tan trig ratio:
[tex]\tan(x)=\sf \dfrac{O}{A}[/tex]
where:
[tex]x[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleFrom inspection of the triangle,
[tex]x[/tex] = ∠XO = 77A = WX = 36Substituting these values into the tan trig formula:
[tex]\implies \tan(X)=\dfrac{77}{36}[/tex]
Therefore, the tangent of ∠X is [tex]\dfrac{77}{36}[/tex]
Answer:
77 / 36
Step-by-step explanation:
Finding the adjacent side
WX² = VX² - VW² [Pythagorean Theorem]WX² = (85)² - (77)²WX² = 7225 - 2929WX = √1296WX = 36Tangent of ∠X
Opposite side / Adjacent sideWX / VW77 / 3614 8/9 less than the product of 8 and a number d
whats an exspression for this
Answer:
(8*d)-14 8/9
Step-by-step explanation:
14 8/9 less than means: -14 8/9
product of 8 and a number d means: 8*d
It says 14 8/9 less than the product meaning the multiplying must be done first: (8*d)-14 8/9
This all comes down to order of the equation, and logic to understand meanings of phrases.
the temperatures for the first 10 days of January were recoded as follows 22 43 47 8 51 39 35 50 28 and 43 sara is organizing the temperatures to the display on a stem and leaf plot what will the stems be for the display
A. 0, 1, 2, 3, 5, 7, 8, 9
B. 0, 1, 2, 3, 4, 5
C. 0, 2, 3, 4, 5
D. 2, 3, 4, 5
is there a picture
Please put one so i. can help
.
If vector A=xz³î-2x²yj+2yz⁴k find CURL A at the point [1, -1, 1]
Given that
[tex]\vec A = xz^3 \, \vec\imath - 2x^2 y \, \vec\jmath + 2yz^4 \, \vec k[/tex]
its curl is
[tex]\displaystyle \nabla\times\vec A = \left(\frac{\partial\left(2yz^4\right)}{\partial y} - \frac{\partial\left(-2x^2y\right)}{\partial z}\right) \, \vec\imath - \left(\frac{\partial\left(2yz^4\right)}{\partial x} - \frac{\partial\left(xz^3\right)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\frac{\partial\left(-2x^2y\right)}{\partial x} - \frac{\partial\left(xz^3\right)}{\partial y}\right) \, \vec k[/tex]
[tex]\nabla\times\vec A = 2z^4 \, \vec\imath + 3xz^2 \, \vec\jmath - 4xy \, \vec k[/tex]
so that at the point (1, -1, 1), the curl is
[tex]\nabla\times\vec A \bigg|_{(x,y,z)=(1,-1,1)} = \boxed{2 \, \vec\imath + 3 \, \vec\jmath + 4 \, \vec k}[/tex]
pls help i have the first part done it’s just confusing
We can represent the pattern by a general sequence:
u(n+1)=8n+2
u(1)=8(10)+2
u(1)=82
u(2)=8(82)+2
u(2)=658
....
Answer:
10:82:658:5266:42130
Explain how to obtain the equation 3x=6 from the given system.
-x+y=-3
6x-3y=15
PLEASE HELP ASAP
Answer:
Step-by-step explanation:
Sand Hill Crane Elementary is
collecting food to donate. Their goal
is 2 tons of food so far they have
collected 2,798 pounds of food.
How many more pounds of food do
they need to collect?
The pounds of food that Sand Hill Crane Elementary needs to collect more in order to reach their goal is 1202 pounds.
How many more pounds needs to be collected?The first step is to convert tons to pounds.
1 ton = 2000 pounds
2 tons x 2000 = 4000 pounds.
The second step is to subtract the pounds of food collected so far from the goal.
4000 - 2798 = 1202 pounds.
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Help help help help math
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!!!
Answer:
4,000
Step-by-step explanation:
The value goes down by around 2,000 every year and 4,00 is the closest answer of any of them.
18. a gamer played four games in 6 hours. she played each game for the same amount of time. how much time did she play each game on
a.2/3 hours
b. 1 hour
c. 1 1/2 hour
d. 2 hours
Answer:
c. 1 1/2 hours
Step-by-step explanation:
6 hours / 4 games = 1 1/2 hours per game
Another way to think of it:
1 hour = 60 minutes
6 hours = 6 hours x 60 minutes per hour = 360 minutes
360 minutes / 4 games = 90 minutes per game
90 minutes per game / 60 minutes per hour = 1.5 hours
1.5 hours is the same as 1 1/2 hours
So, the answer is c. 1 1/2 hours
write down 3 numbers that are between 1.9 and 2
Answer:
1.91, 1.92, 1.93
Step-by-step explanation:
They are all between 1.9 and 2
What is the next term of the arithmetic sequence? -3, -7,-11, –15,
Answer:
-19
Step-by-step explanation:
The sequence is going down by 4
What is the equation?
Answer:
[tex]\displaystyle 5x + 6y = 72\:or\:y = -\frac{5}{6}x + 12[/tex]
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so 1⅕ becomes −⅚, and we move forward with plugging the information into the Slope-Intercept formula:
[tex]\displaystyle -8 = -\frac{5}{6}[24] + b \hookrightarrow -8 = -20 + b; 12 = b \\ \\ \boxed{y = -\frac{5}{6}x + 12}[/tex]
To write this in Linear Standard Form, perfourm he following:
y = −⅚x + 12
+ ⅚x + ⅚x
___________
⅚x + y = 12 [We cannot leave the equation this way, so multiply the equation by the denominatour to eradicate the fraction.]
6[⅚x + y = 12]
[tex]\displaystyle \boxed{5x + 6y = 72}[/tex]
I am joyous to assist you at any time.
When will the graph meet the line y=5?
Answer:
Step-by-step explanation:
The graph of the linear equation cuts the x-axis at (5,0)
which expression entered into a graphing calculator will return the probability that a data value in a normal distribution is between a z score of -1.99 and a z score of 0.18
The expression that returns the probability that a data value in a normal distribution is between a z- score of -0.18 and a z-score of 1.99 is (d) normalcdf(-0.18, 1.99)
How to determine the expression?To calculate the probability between two z-scores is to calculate the area between the z-scores.
This is done using the following syntax:
normalcdf(lower bound, upper bound)
From the question, the lower and the upper z-scores are -0.18 and 1.99
So, the formula would be normalcdf(-0.18, 1.99)
Hence, the expression is (d)
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How many meters are in 3 kilometers?
A. 30 m
B. 300 m
C. 3,000 m
D. 30,000 m
Answer:
there are 3000 meters in 3 kilometres
Answer:
C. 3,000 m
Step-by-step explanation:
There are 1,000 meters in one kilometer, so 3 times 1,000. This gets you 3,000.
Answer these?
3. John bought 2 kg apples, 4 kg mangoes, 1 kg pears and put them in his bag. Find the total weight of the fruits in his bag.
4. Three brothers weigh 30 kg, 25 kg and 45 kg. Find their total weight.
5. A man weighs 72 kg and his wife weighs 59 kg. How much does the man weigh more than his wife?
6. Papaya sells at $16 per kg. Find the cost of 4 kg of these papayas.
7. A bag of wheat weighs 25 kg. Find the total weight of 8 such bags.
Answer:
3. 7kg
4. 100kg
5. 13kg more
6. $64
7. 200kg
Please help ASAP!!!! 20 PTS
Marko is playing the video game Fort Attack. The purpose of the game is to shoot invading bandits that are trying to breach the fort's circular wall, and Marko must provide the angle at which the cannon should turn in order to shoot the attacking bandits. The bandit is attacking as pictured in the figure below:
The unit circle is shown. There is an angle 30 degrees counterclockwise from the positive y axis. An image of a bandit is shown at the point of intersection between the angle and unit circle.
What is the angle of fire in standard position on the unit circle in both degrees and radians?
120°; pi over 6 radians
120°; 2 pi over 3 radians
30°; pi over 3 radians
30°; 2 pi over 3 radians
The angle of fire in the standard position will be B. 120°; 2 pi over 3 radians.
How to calculate the angle?
It should be noted that the image shows the shooting angles arrangements. Also, π = 180°.
In this case, the value of the angle will be:
= 12π/18
= (12 × 180) / 18
= 12 × 10
= 120°
Therefore. the angle of fire in the standard position will be B. 120°; 2 pi over 3 radians.
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ima need help, I'm confused about this depth stuff
[tex]v (total)= v(r \: p \: ) + v(c)[/tex]
[tex]v(t) = lwh + \pi {r}^{2} h[/tex]
[tex]v(t) =( 18 \times 10 \times 5 )+( 3.14 \times {5}^{2} \times 5) \\ [/tex]
[tex]v(t) = 900 + 392.50[/tex]
[tex]v(t) = 1292.50 \: \: \: {ft}^{3} [/tex]
Depth is also referred as height.
Volume of the rectangular part = l b h
= 18 × 10 × 5
= 900 ft³
Volume of two semi circular parts = 4 / 3 π r³
= 4 / 3 × 5 × 5 × 5 × π
= 523.8 ft³
Total Volume of the figure = 1423.8 ft³
John types 90 words in 2 minutes. Enter the number of words John types in 4 minutes at this rate
Answer:
360
Step-by-step explanation:
9x4=36 add the zero you didn't use
Three local stores are each selling their videos game consoles for the same price the table below shows how many consoles have been sold at each of the stores and the total sales dollars for the consoles.
Applying proportions, it is found that the discounted price of each console at store B is given by:
B. $210.80.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, at store B, 15 consoles sold for a total of $3,720, hence the price per console is of:
P = 3720/15 = $248.
A discount of 15% is applied, which means that the new price is 85% of the original price, hence:
P = 0.85 x 248 = $210.8.
Which means that option B is correct.
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a furniture store sells kits that customers use to build cabinets. each kit contains 18 screws and a set number of boards. part B what is the value of x in jarreds equation
Answer:
x times square then subtract