Answers
Answer:
5
Step-by-step explanation:
[tex] \triangle CDE \sim\triangle FGH...(given) [/tex]
[tex] \therefore \frac{CD}{FG}=\frac{CE}{FH}...(csst)[/tex]
[tex] \therefore \frac{4x}{28}=\frac{25}{35}[/tex]
[tex] \therefore \frac{x}{7}=\frac{5}{7}[/tex]
[tex] \therefore x=\frac{7\times 5}{7}[/tex]
[tex] \therefore x=5[/tex]
Related Questions
Question
Which of the following is equivalent to x2 – 5x + 6?
o (x - 2)(- 3)
o (x - 2)(x+3)
o (x+6)(x - 1)
o (x-6)(x + 1)
Answers
Answer:
Option one (x-2)(x-3)
Step-by-step explanation:
We have x²-5x+6 =0
X²-3x-2x+6=0
X(x-3)-2(x-3)=0
(x-2)(x-3)=0
The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, determine the number of bacteria present after 16 hours, to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
I really hope you know how to use your calculator to find regression equations, because in this forum it is impossible to teach you how to do that. I ran the data through my calculator and got the exponential equation as
[tex]y=1963.56(1.14)^x[/tex] which means at 4 hours, we started with 1963 bacteria and it is growing at a rate of 114% each hour. Since we started out with an x value of 0, and that value represents the number of bacteria after 4 hours, then time 0 is 4 hours, which means that time 12 is 16 hours. We replace the x in the equation with a 12 and do the math:
[tex]y=1963.56(1.14)^{12[/tex] which gives us, in the end,
y = 9460
The exponential regression equation is given by y = 304(1.072)ˣ and the number of bacteria present after 12 hours would be 700.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
here, we have,
Let y represent the number of bacteria after x hours.
When x = 0, y= 304, hence:
304 = ab⁰
a = 304
When x = 1, y= 326, hence:
326 = (304)b¹
b = 1.072
The exponential regression equation is given by y = 304(1.072)ˣ.
When x = 12:
y = 304(1.072)¹² = 700
Find out more on equation at:
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Michelle bought a watch for $135. This price included a tax of 8%. Calculate the tax that was paid.
Answers
Answer:
The tax paid was $10.80
Step-by-step explanation:
135 time 0.08 is 10.8
Tax Paid: $10.80
Total Paid: $145.80
Answer:
145.8
Step-by-step explanation:
135x1.08=145.8
13. A set of 121 chairs needs to be arranged in
a square formation for a school assembly.
How many chairs should be lined up in each
row?
Answers
Answer:
11
Step-by-step explanation:
so basically u just square root 121 which give u 11
[tex] \sqrt{121} = 11[/tex]
Can someone help me?
Answers
Answer:
1 feet
Step-by-step explanation:
15-14
√7+√3+√98-√18
write the answers in radical form
Answers
Answer:A:√7+√3+√98−√18 Part B:3√5−3√11+2√121−3√90. 1.
Step-by-step explanation:
Monica is building a 4 ft sidewalk around her flower garden.
25 ft
4 ft
9 ft
4 ft
Find the area of the sidewalk.
Answers
Answer: 336 sq ft
Step-by-step explanation:
3. Justin went to the movies and
bought a popcorn for $4.25 and a
soda for $2.75. What was his total bill
after addin a 5% sales tax?
Answers
Answer:
7.35
Step-by-step explanation:
4.25+2.75=7.00 before tax
7.00 x .05=.35 sales tax
7.00+ .35=7.35 total bill
Pls help with all of them
Answers
Answer:
Blue area ~ 25π
Blue circumference ~ 10π
Pink area ~ 36π
Pink circumference ~ 12π
Grid area ~ 9 π
Grid Circumference ~ 6π
Red area ~ 49 π
Red Circumference ~ 14 π
Step-by-step explanation:
have a good day!! :)
mariah found a flat iron originally priced at $80 on sale for $60 by what pecentage was the price reduced
Answers
Answer:
25%
Step-by-step explanation:
25% us the answer. First: work out the difference (decrease) between the two numbers you are comparing.
Decrease = Original Number - New Number
Then: divide the decrease by the original number and multiply the answer by 100.
Select all the correct answers, Consider functions and g. /(x) = –2008(– 1) + 3 g(1) = 2cos(t + 3) – 3
Which statements describe transformations of the graph of fresulting in the graph of function g? A.The graph of function Fhas been reflected over the x-axis. B. The graph of function Fhas been reflected over the v-axis. C. The graph of function fhas been translated 3 units down. D. The graph of function has been translated 3 units left E. The graph of function fhas been translated 4 units left. F. The graph of function has been vertically stretched by a factor of 4
Answers
Answer:
Reflected over the x axis and translated 4 units left
Step-by-step explanation:
Just took the test and got 5/5 :)
Answer:
Reflected over the X axis
Tanslated 4 units left.
Step-by-step explanation:
Plato 5/5
please show workings on how to do it :)
Answers
Answer:
here
Step-by-step explanation:
ratio:
1x, 3x, 5x=180
9x=180
x=180/9
x=20
forgot to mention 1x=cement
3x=sand and 5x=gravel.
I only know first part of the question.
Answer:
Let the ratio be x,3x,5x
then,
or,x+3x+5x=180kg
or,9x=180
or,x=180/9
or,x=20kg
now,3x=3*20
=60kg
5x=5*20
=100 kg
therefore he doesn't have enough cement and sand but he has enough gravel.
Points F and G are located at (3, 2) and (-2,2) on a coordinate plane.
What is the distance between the two points?
Answers
Answer
5
Step-by-step explanation:
Formula for distance between two points:
d = [tex]\sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} }[/tex]
d = [tex]\sqrt{(-2-3)^{2} + (2-2)^{2} }[/tex]
d = 5
What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.
lo
2
3
si tohoto
Answers
Answer:
-3/4
Step-by-step explanation:
change them to improper fractions
-5/2 - (-7/4)
now multiply -5/2 by two so the denominators are the same
-10/4 - (-7/4)
subtracting a negative number is the same as adding a positive number
-10/4 + 7/4
= -3/4
Aeg = 10 solve for g
Answers
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
A
Step-by-step explanation:
120 is the starting value, aka the price of the painting in 2014 before it is increased.
Stephen is taking a math test. There are 4 multiple choice questions, and each question has five possible answers. How many different
ways can Stephen complete the answer sheet?
Answers
Select the correct answer.
Four months end in the letter y. What is the probability that two randomly chosen students in Chelsea's math class were born in a month ending
In y?
Answers
Answer:
1/9
Step-by-step explanation:
4/12 x 4/12 = 1/9
Answer: 1/9
Step-by-step explanation: CORRECT ON EDMENTUM
hey what's the answer
show step by step explanation
if u don't know.u don't need to answer
Answers
Answer:
The 3rd one - I don't seem too sure with the answer, you know the 1st question's 2nd part, right?
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
What is the radius of a sphere with a volume of 32398 cm, to the nearest tenth of a
centimeter?
Answers
Answer:
21.1cm
Step-by-step explanation:
Hello :)
The volume of a sphere can be found by this equation:
[tex]V=\frac{4}{3} \pi r^3[/tex] where V stands for volume and r stands for the radius in the sphere.
Since the volume is actually given to us and we need to find the radius, we can substitute in the numbers we know, and isolate the variable we are trying to find so we can get a concise answer.
[tex]V=\frac{4}{3} \pi r^3[/tex]
[tex]32398=\frac{4}{3} \pi r^3[/tex]
Now, let's isolate the r variable by dividing 4/3 and pi to the other side.
[tex]\frac{32398}{\frac{4}{3}\pi } =r^3[/tex]
We can get rid of the exponent by square rooting by 3.
[tex]\sqrt[3]{\frac{32398}{\frac{4}{3}\pi}} =r[/tex]
If we plug this into the calculator, the r=21.1
Which means the radius of the sphere is 21.1 cm.
Answer:
21.1 CM
[tex] \: \: \: \: \: \: \: [/tex]
The vertices of quadrilateral ABCD are
A(-4, -2), B(4, -6), C(6, -2), and D(-2, 2).
What kind of quadrilateral is ABCD ?
Answers
Answer:
4 sided quadrilateral
Step-by-step explanation:
The sides of a rectangle are in the ratio 2:5. If the longer side of the rectangle is 25.5
in., what are its width, perimeter, and area?
Plz help
Answers
Answer: The width is 10.2 inches, the perimeter is 71.4, the area is 260.1.
Step-by-step explanation: So first i divided 25.5/5 which equals 5.1. The ratio is 2:5 so I know that i have to multiply 5.1x2 which is 10.2, thats how you get the width. The perimeter I just did 25.5+25.5+10.2+10.2 =71.4. For the area I just multiplied 25.5x10.2=260.1.
The width of the rectangle is 10.2 inches.
The perimeter of the recatngle is 71.4 inches.
The area of the rectangle is 260.1 square inches.
What is the perimeter of rectangle?The perimeter of rectangle is given by;
[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)[/tex]
The sides of a rectangle are in the ratio 2:5.
If the longer side of the rectangle is 25.5.
The shortest side of the rectangle is;
[tex]=\dfrac{25.5}{5}\\\\=5.1 \rm \ inches[/tex]
The width of the rectangle is;
[tex]\rm Width=2\times 5.1\\\\Width =10.2[/tex]
The width of the rectangle is 10.2 inches.
The perimeter of the recatngle is;
[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)\\\\\rm Perimeter \ of \ rectangle=2 (25.5+10.2)\\\\\rm Perimeter \ of \ rectangle=2 \times 35.7\\\\\rm Perimeter \ of \ rectangle=71.4 \ inches[/tex]
The perimeter of the recatngle is 71.4 inches.
The area of the rectangle is;
[tex]\rm Area=length \times width\\\\Area=25.5\times 10.2\\\\Area=260.1 \ square \ inches[/tex]
The area of the rectangle is 260.1 square inches.
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Find the value of ( 2x + 10
Answers
Answer:
Solution given:
x+x+10°+40°+2x+10=360[complete turn]
4x+60°=360
4x=360-60
x=300/4=75
now
2x+10=2×75+10=160° is your answer
Select all true statements:
Translating a segment can change the length.
Translating a polygon can change the angle measures.
Dilating a segment can change the length.
Dilating a polygon can change the angle measures.
A dilated line segment is parallel to its preimage.
Answers
Answer:
Step-by-step explanation:
Dilating a segment can change the length. TRUE
A dilated line segment is parallel to its preimage. TRUE
Dilation is a transformation that allows you to resize an object. The correct options are C and E.
What is dilation?Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.
A translation is a transformation that moves every point in a figure in the same direction by the same amount, while dilation is a transformation that allows you to resize an object.
Therefore, the statements that are true are,
Dilating a segment can change the length.A dilated line segment is parallel to its preimage.Hence, the correct options are C and E.
Learn more about Dilation here:
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What are the coordinates of the vertex
Answers
A farm grew 19.8 tons of wheat in 2013 the farm's wheat output increased by 9.8% from 2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a strategy for estimating the total output of wheat, in tons, in 2015?
Answers
Answer:
D
Step-by-step explanation:
Here are the options
A 20+10+5
B 20(10)(5)
c 20+1.1+1.05
D 20(1.1)(1.05)
total output of wheat in a given year = total tons of wheat the previous year x ( 1 + rate of increase of wheat)
Total growth in 2013 = 1.098 x 19.8 = 20 tons
total growth in 2014 = 20 tons x (1 + 0.098) = 20 x 1.1
total growth in 2015 = 20 x 1.1 x 1.05
Answer number 7 and 8 I will pick the right answer
Answers
Answer:
grrrr
Step-by-step explanation:
Find the scope of the line renesented by the title, show all work
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Hi there!
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in any two points; plug in (9,2) and (3,-2)
[tex]=\frac{-2-2}{3-9}\\=\frac{-4}{-6}\\=\frac{2}{3}[/tex]
Therefore, the slope is [tex]\frac{2}{3}[/tex].
I hope this helps!
Pick the correct inequality.
A .
B.
C.
D .
Answers
Answer:
B
Step-by-step explanation:
-6 -------------------->
---------------> = x
x ------>
-6 NOT 6
Therefore is B
Two ships leave a harbor at the same time. One ship travels on a bearing S14°W at 15 miles per hour. The other ship travels on a bearing N75°E at 11 miles per hour. How far apart will the ships be after 3 hours?
Answers
Answer:
67.48 miles
Step-by-step explanation:
the angle between two ships =180°-75°+14°= 119°
the first ship travels for 15×3=45miles
the second ship trave 11×3=33miles
the distance between them after 3 hours=
√(45²+33³-2(45)(33)cos 119°)
=√(2025+1089+1440)
=√4554
= 67.48 miles