Answers
Answer:
x = 3
Step-by-step explanation:
[tex] \triangle TFG\sim \triangle TUV... (given) [/tex]
[tex] \therefore \frac{FG}{UV}=\frac{TG}{TV} ... (csst) [/tex]
[tex] \therefore \frac{45}{63}=\frac{10x+5}{49} [/tex]
[tex] \therefore \frac{5}{7}=\frac{10x+5}{49} [/tex]
[tex] \therefore 10x+5= \frac{5\times 49}{7} [/tex]
[tex] \therefore 10x+5=5\times 7 [/tex]
[tex] \therefore 10x+5=35 [/tex]
[tex] \therefore 10x=35-5 [/tex]
[tex] \therefore 10x=30 [/tex]
[tex] \therefore x=\frac{30}{10} [/tex]
[tex] \therefore x=3[/tex]
x = 3
Related Questions
A quality-assurance inspector periodically exam-ines the output of a machine to determine whether it is properly adjusted. When set properly, the machine pro-duces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. Using the 0.01 level of significance, examine the null hypothesis that the machine is adjusted properly. Determine and interpret the p-value for the test.
Answers
Answer:
Step-by-step explanation:
From the given information;
The null hypothesis & alternative hypothesis:
[tex]\mathbf{H_o:\mu = 2} \\ \\ \mathbf{H_1 : \mu \ne 2}[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \dfrac{2.025- 2}{\dfrac{0.07}{\sqrt{35}}}[/tex]
[tex]Z = \dfrac{0.025}{\dfrac{0.07}{\sqrt{35}}}[/tex]
[tex]Z =2.11[/tex]
The p-value = 2(Z > 2.11) since this is a two-tailed test
The p-value = 2( 1 - Z < 2.11)
The p-value = 2 (1 -0.9826)
The p-value = 2 (0.0174)
The p-value = 0.0348
Decision Rule: To reject the [tex]\mathbf{H_o}[/tex] if the p-value is less than [tex]\mathbf{H_o}[/tex]
Conclusion: We fail to reject [tex]\mathbf{H_o}[/tex] and conclude that the population mean = 2, thus the machine is properly adjusted.
HELP PLZ!!!! I will give brainlest
Mr. Olejnik's son is going for a bike ride on his new bike. The cold weather has the tires deflated. Normal pressure is between 35 psi and 60 psi. (50 is ideal). The back tire is currently at 18 psi. If Mr. Olejnik increase the tire pressure by 250%, will this be too much?
Help Please :)
Answers
Answer:
Step-by-step explanation:
2.5*18 = 45
So, the answer would be
Yes, this is in the range between 35 psi and 60 psi.
I'm a Clay student, are you too? :) Good luck!!
aplicaciones de la geometría en la vida
Answers
Answer:
I don't understand I'm sorry.....
Mother plans to buy 1/2 kilogram of chicken and 2/5 kilogram of beef How many kilograms of meat does she plan to buy?
Answers
Answer:
Step-by-step explanation:
what is 3,000 + 200 + .4 + .06 in standard from
Answers
Answer:
3,200.406
I think
Step-by-step explanation:
Answer:
Hello! :) have a good day!
3000 + 200 + .4 + 0.6 in standard form is 3201
Whats the equation in slope-intercept form -y - 3x = 4
Answers
Answer:
y = -3x - 4
Step-by-step explanation:
Using algebra we solve for solely y
-y = 3x + 4
y = -3x - 4
The number of measles cases increased 33.7% to 220 cases this year. What was the number of cases prior to the increase?
Answers
Hi there!
Multiply 33.7 with 0.01...
[tex]33.7[/tex]·[tex]0.01=0.337[/tex]
Then multiply 0.337 with the cases which is 220.
[tex]0.337[/tex]·[tex]220=74.14[/tex]
This means that 33.7% of 22 is 74.14 and this also means that the increased cases this year is 74.14.
<CEB and BED are adjacent angles ehat is the side common to the two angles?
Answers
Step-by-step explanation:
<CEB and < BED are adjacent angles then
The common side to the two angles is
EB
H E L P ! !
The cover of a memo book must have an area of 115 cm^2. Approximately, to the nearest tenth of a centimeter, how long should each side be to make a square cover?
Answers
Answer:
10.7cm
Step-by-step explanation:
x^2= 115
x = √115
x = 10.7
A pair of shoes were originally priced at $125. They are now being sold with a 20% discount. What is it's new price?
* ill give brainliest
Answers
Answer:
100
Step-by-step explanation:
Forumla is
Original price X rate of discount = discount
The original price is $125, the rate of discount is 20%
So in math form, this is 125 x .20
which equals 25.
Lastly, just subtract that from the original price. 125 - 25 = 100.
Please please give answer for this question
Answers
EXPLANATION: First find the area of one single square by multiplying b(BASE) * h(HEIGHT). Repeat for other figure. Finally you will add both sums.
Identify the missing digit: 5_8x6-3528
Answers
Answer:
The missing digit is 8
Step-by-step explanation:
3528/6 = 588
Answer:
the missing digit is 8
Step-by-step explanation:
3528÷6=588.
^
A group of 1,254 people are going on a boat tour. If each boat holds 8 people, how many boats will they need?
Answers
Answer:
Step-by-step explanation:
1254p(b/(8p))=156.75b
The number of boats must be an integer because you can’t have a fraction of a boat so
b=157
Find the perimeter and area of a rectangle of cardboard measuring 14.1 cm by 6.5 cm
Answers
Answer:
perimeters =41.2
area=91.65
Step-by-step explanation:
rectangle Perimeter(p) Area (A)
L=length 2 (L+W) L×W
W=width
Answer:
14.1*6.5= your area
6.5+6.5+14.1+14.1=perimeter
Step-by-step explanation:
hope this helps!
Let me know guys pls
Answers
Answer:5
Step-by-step explanation:
Answer:
Step-by-step explanation:
x/35=15/25
x=35(15)/25
x=21
!!! PLEASE HELP FAST !!
please help me with one a two :)
Answers
Answer:
Question 1Function given:
y = x² + 4x - 4In the vertex form:
y = x² + 4x + 4 - 8 = (x + 2)² - 8Axis of symmetry is the vertical line passing through the vertex.
The vertex is
(-2,-8)Axis of symmetry is
x = -2y- intercept is
x = 0 ⇒ y = -4, so the point (0, -4)Two other points are
x = 1 ⇒ y = (1 + 2)² - 8 = 9 - 8 = 1, the point is (1, 1)x = -1 ⇒ y = (-1 + 2)² - 8 = 1 - 8 = -7, the point is (-1, -7)See the graph with all the points plotted
Question 2Function given:
y + 2x² - 4x - 6 = 0In standard form:
y = -2x² + 4x + 6In vertex form:
y = - 2x² + 4x - 2 + 8 = -2(x - 1)² + 8The vertex:
(1, 8)Axis of symmetry is
x = 1y - intercept
x = 0 ⇒ y = -2(-1)² + 8 = -2 + 8 = 6, the point is (0, 6)Two other pints:
x = -1 ⇒ y = -2(-1 - 1)² + 8 = -8 + 8 = 0, the point is (-1, 0)x = 2 ⇒ y = -2(2 - 1)² + 8 = -2 + 8 = 6, the point is (2, 6)The graph is attached with the points plotted.
solve the formula for q
p = 2n + 8q
a. q = p - 2n
b. q = 2n - p / 8
c. q = 2p - n
d. q = 2n - p
e. q = p -2n / 8
please & thank you!!!
Answers
Answer:
I think it is B because it makes sense and I have done algebra before.
In the following question, the domain of discourse is a set of students at a university. Define the following predicates: E(x): x is enrolled in the class T(x): x took the test Translate the following English statements into a logical expression with the same meaning.
a. Someone took the test who is enrolled in the class.
b. All students enrolled in the class took the test.
c. Everyone who took the test is enrolled in the class.
d. At least one student who is enrolled in the class did not take the test.
Answers
Answer:
From the examples given below:
E(x): x is enrolled in the class T(x): x took the test ,
The following sentences can be translated into something similar like:
1 E(x): All students enrolled in the class.
T(x): All students took the test.
2. E(x): Someone took the test
T(x): Someone are enrolled in the class.
3. E(x): Everyone took the test
T(x): Everyone is enrolled in the class.
4. E(x): At least one student is enrolled in the class
T(x): At least one student did not take the test.
Step-by-step explanation:
There are four primary strategies for determining the area of two-dimensional figures and shapes: a) counting square units, b) subdividing the shape into pieces, finding the areas of the pieces and adding the areas together, c) enclosing the shape in a rectangle, finding the area outside of the shape but inside the rectangle and subtracting, and d) using a formula. Explain each strategy. Use an example for each.
Answers
Answer:
Given below
Step-by-step explanation:
a) if we look at the picture then we can find by counting the square units. In each box there are 3.5 square units along the breadth. There are 3 square units along the length . Counting these gives (3*3.5= 10.5 ) 10.5 square units for each box. Adding the 10.5 +10.5+10.5+10.5 = 42 square units gives the area of the inner rectangle.
b) There are 4 boxes and the total area of the these boxes will be 4*10.5= 42 square units.
Area of 1 box = 3*3.5= 10.5
c) The area of the outer rectangle = 8*12= 96 square units.
The area between the two rectangles along the breadth = 3*7= 21 of one side.
The area between the two sides along the length = 6*1= 6 square units.
Subtracting 21+21+6+6= 54 from 96 gives 42 square units
d) Area= length *breadth
= 6* 7= 42 square units.
Hence by all four methods the total area remains the same.
How many 1/3 inch cubes does it take to fill a box with width 2 2/3
inches, length 3 1/3 inches, and height 2 1/3 inches?
Answers
Answer:
Step-by-step explanation:
Please help me with this equation below.
Answers
Answer:
a) We have an aspect ratio of 4:3
This means that the width of the screen, W, is about 4/3 times the height of the screen, H.
Then we have the equation:
W = (4/3)*H
And the diagonal of a rectangle with width W and height H is:
D = √(W^2 + H^2)
Then if we have a 15 in TV, then we have D = 15 in.
Then we have:
15 in = √(W^2 + H^2)
Now we can use the relation W = (4/3)*H and replace this in the above equation:
15 in = √(((4/3)*H)^2 + H^2)
Now we can solve this for H:
15in = √( (16/9)*H^2 + H^2)
(15in)^2 = (16/9)*H^2 + (9/9)*H^2 = (25/9)*H^2
(9/25)*(15in)^2 = H^2
√( (9/25)*(15in)^2) = H
(3/5)*(15in) = H = 9 in
The height is 9 inches, and the width will be:
W = (4/3)*9in = 12in.
Now let's do the same for a 42 in tv.
We can use the same equation than before, this time we get:
42 in = √(((4/3)*H)^2 + H^2)
We can do the exact same procedure as before, and we will get:
(3/5)*(42in) = H = 25.2 in
Then the width is
W = (4/3)*H = (4/3)*25.2in = 33.6 in
b) Now we do the same, but now we have the relation:
W = (16/9)*H
Then if D is the diagonal, we have the equation:
D = √(W^2 + H^2) = √( ((16/9)*H)^2 + H^2)
This time we can simplify it for any general D.
D^2 = (16/9)^2*H^2 + H^2
D^2 = (256/81)*H^2 + H^2 = (256/81)*H^2 + (81/81)*H^2
D^2 = (337/81)*H^2
(81/337)*D^2 = H^2
√( (81/337)*D^2) = H
(9/18.36)*D = H
Then if we have a 42 in TV, the height is:
(9/18.36)*42in = H = 20.59 in
And the width will be:
W = (16/9)*H = (16/9)*20.59in = 36.60 in
If we have a 60 in TV, we get:
(9/18.36)*60in = H = 29.41 in
And the width will be:
W = (16/9)*H = (16/9)*29.41in = 52.29 in
c) if all the aspect ratios are always exactly 16:9, then no, the width and height should be exactly the same for all the TV with that ratio.
In 2002, the population of a town was approximately 34,050. In 2012,
the population of the town had increased to approximately 56,800. Based
on a linear model, what will be the approximate population of the town
in 2020?
Answer choices
A. 52,250
B. 75,000
C. 79,550
D. 99,850
Answers
hope that helps
A computer laboratory manager was in charge of purchasing new battery packs for her lab of laptop computers. She narrowed her choices to two models that were available for her machines. Since the models cost about the same, she was interested in determining whether there was a difference in the average time the battery packs would function before needing to be recharged. She took two independent samples and computed the following summary information: Battery Pack Model 1 Battery Pack Model 2Sample Size 9 9Sample Mean 5 hours 5.5 hoursStandard Deviation 1.5 hours 1.3 hoursUsing the null and alternate hypothesis:H0:mu1-mu2=0 vs. Ha: mu1-mu2 not equal 0Calculate the test statistic for this test.
Answers
Answer:
-0.756
Step-by-step explanation:
N1 = 9
N2 = 9
Sd1 = 1.5 hours
Sd2 = 1.3 hours
X1 = 5 hours
X2 = 5.5 hours
Hypothesis
H0: mu1 - mu2 = 0
H1 : mu1 - mu2 not equal to 0
Test statistic
t = (x1 - x2)/SE
SE is the standard error, which is unknown
SE = √sd1²/n1 + sd2²/n2
= √1.5²/9 + 1.3²/9
= √0.25+0.1878
= √0.4378
= 0.66166
t statistics = (5-5.5)/0.66166
= -0.5/0.66166
= -0.756
someone pls answer this-
Answers
20 came from temperature dropping 2 degrees every 30 minutes for 5 hours means that it dropped a total of 10 times, and 10x2=20 so the answer is 43
Find the perimeter of the figure. Round to the nearest tenth.
answer.
3 ft
3 ft
20 ft
5 ft
14 ft
Perimeter
feet
Answers
Answer:
45Step-by-step explanation:
Add the sides together:
3+3+20+5+14=45
If gasoline costs $3.28 per gallon, how much would 15.5 gallons cost?
Answers
Answer:
$50.84
Step-by-step explanation:
By multiplying $3.28 × 15.5 = $50.84
если x=6 то y=
если y=-4 то x=
Answers
Step-by-step explanation:
ssshzvecucsussddyz wksoav
Answer:
X=6 To y=-6
y=-4 TO X = 4
꧁꧁꧁꧁꧂꧂꧂꧂
꧂꧂꧂꧂꧂
1. Given A = {1,2,3,4}, B ={1,2,4,5), C={3,4,6}, D= {7,8}. U={1,2,3,4,5,6,7,8,9}
What is A UB? Bn C? CD? A'? (A U B)
Answers
Answer:
Step-by-step explanation:
A∪B = {1,2,3,4,5}
B∩C = {4}
I don't know what CD means.
A' = {5,6,7,8,9}
Instant brainliest please help.
Answers
Answer:the second one
Step-by-step explanation:
Pl help it’s for a grade
Answers
Answer:
A,d,e not sur tho
Step-by-step explanation:
Answer:
[tex]r^{2}+6r+9=(r+3)^{2} \\m^{2}-10m+25=(m-5)^{2}[/tex]
Step-by-step explanation:
Only !
