Answer:
25 in x 15 in
Step-by-step explanation:
Given:
Length = 3/5 the widthArea = 375 in²Let width = [tex]x[/tex]
Therefore, length = 3/5 [tex]x[/tex]
First create an equation for the area of the picture based on the given information for its width and length:
[tex]\begin{aligned} \implies \textsf{Area of original picture} & = \sf width \times length\\& = x\left(\dfrac{3}{5}x\right)\\& = \dfrac{3}{5}x^2\end{aligned}[/tex]
We are told the area of the enlarged picture is 375 in². Therefore, substitute this into the equation and solve for [tex]x[/tex] to find the width of the enlarged picture:
[tex]\begin{aligned}\textsf{Area} & = 375\\ \implies \dfrac{3}{5}x^2 & = 375\\ x^2 & =375 \cdot \dfrac{5}{3}\\ x^2 & =625\\ x & = \sqrt{625}\\ x& = 25\end{aligned}[/tex]
Therefore, the width of the enlarged picture is 25 in.
Substitute the found value of [tex]x[/tex] into the expression for length to find the length of the enlarged picture:
[tex]\begin{aligned}\sf Length & = \dfrac{3}{5}x\\\\\implies \sf Length & = \dfrac{3}{5}(25)\\\\& = 15\: \sf in\end{aligned}[/tex]
Therefore, the dimensions of the enlarged picture are 25 in x 15 in. The width is 25 in and the length is 15 in, as the length is 3/5 of the width.
Answer:
correct
Step-by-step explanation:
Which of these is a recurring cost of car ownership?
A. Windshield replacement
B. Driver's license application fee
C. Gas
O D. Bumper replacement
Which expression gives the distance between the points
(-3, 4) and (6, -2)?
O A. (-3-4)²+(6+2)²
O B. (-3-6) +(4+2)²
O C. (-3-6)²+(4+2)²
O D. (-3-4)²+(6+2)²
The expression that gives the distance is [tex]\sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]
How to determine the expression?The points are given as:
(-3, 4) and (6, -2)
The distance between two points is calculated using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
This gives
[tex]d = \sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]
Hence, the expression that gives the distance is [tex]\sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]
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PLEASE HELP ME :)
At a track meet, you time a friend running 100 m in 11.00 seconds. The officials time her as well. You find that you have an error of 3.09%. What are the two possible official times your friend ran the 100 meters?
Answer:
sorry but i need the answer too pls answer the question
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time?
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time
Answer:
s
Which of the triangles shown are scalene triangles? (2 points)
A group of triangles. Triangle A has three acute angles and two equal sides. Triangle B has two acute angles, one ninety degree angle, and two equal sides. Triangle C has three acute angles and two equal sides. Triangle D has two acute angles and one obtuse angle. All the sides on this triangle are different lengths.
Triangle A and Triangle B
Triangle C
Triangle B and Triangle D
Triangle D
Answer:
Triangle D.
Step-by-step explanation:
A scalene triangle has different sides.
y=x^2+5x-8 to factored form
Answer:
Factor and set each factor equal to zero. Y=x2+5x−8
Step-by-step explanation:
To convert a distance between miles and feet, you can use the equation f=5280m. In this equation, what is the role of f
3. Eden has completed 7⅝ laps of a 10 lap race How many more laps does she still need to run?
eden must run 2 3/8 laps to complete the race.
How to calculate the laps that Eden is missing?To calculate the laps that Eden is missing, we must perform the following operation:
We must take into account that he has already completed 7 laps and a segment of the eighth lap that is equivalent to 5/8, that is to say that he has 3/8 to complete the eighth lap.
On the other hand, once he completes the eighth lap, he will have 2 full laps left to finish the race. Due to the above, it can be stated that it is missing 2 3/8 laps.
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rainbow's is having a discount on swimsuits for the start of summer. the original price of the swimsuit is $30 and it is marked as 25% off. what is the
sale price that the customer will pay?
Answer:
22.50
Step-by-step explanation:
25 percent 30
= (25/100)30
= (25*30)/100
= 750/100 = 7.50
$30 - $7.50 = $22.50
Answers to the questions?
Based on the relationship of special angles, the values of x are:
1. x = 34
2. x = 9
3. x = 6
What are The Relationship of Angles Formed by a Transversal and Parallel Lines?Alternate interior angles are equals and corresponding angles are also equal.
Linear pair angles are supplementary.
1. Angles j and a are linear pair angles, therefore:
3x + 15 + 2x - 5 = 180
5x + 10 = 180
5x = 180 - 10
5x = 170
x = 170/5
x = 34
2. Angles m and g are corresponding angles, therefore:
4x + 12 = 2x + 30
4x - 2x = -12 + 30
2x = 18
x = 9
3. Angles c and v are alternate interior angles, therefore:
6x + 9 = 3x + 27
6x - 3x = -9 + 27
3x = 18
x = 6
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You pick a card at random.
3 4 5
what is p(not less than 5)?
write your answer as a fraction or whole number.
HELPP PLEASE 50 POINTS
Tucker bought some envelopes plain envelope cost twenty-five cents each decorative envelopes cost $0.45 each. he bought at least one plain envelope and at least one decorative envelope he spent exactly the same amount on Plain envelopes as on decorative envelopes.
before taxes added what was the least total amount he could have spent?
A. 1.40$
B. 2.30$
C. 3.10$
D4.50$
Answer:
D.
Step-by-step explanation:
0.45*5=2.25
0.25*9=2.25
2.25*2=4.50
Hope this helps!
If not, I am sorry.
Which three side lengths best describe the triangle in the diagram?
A. 6 cm, 8 cm, and 10 cm
B. 3 cm, 4 cm, and 5 cm
C. 5 cm, 8 cm, and 10 cm
D. 6 cm, 8 cm, and 9 cm
Please help me
The three side length that describes the triangle in the image attached below are: 5 cm, 12 cm, and 13 cm.
What is a Triangle?A triangle is a shape that has three sides. The sides can be measured using a ruler.
The sides of the triangle in the image shown have side lengths as measured by the ruler beside each of the sides, which are 5 cm, 12 cm, and 13 cm.
Therefore, the three side lengths of the triangle in the diagram are: 5 cm, 12 cm, and 13 cm.
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What is the probability you spin something larger than 10
The probability you spin something larger than 10 will be 1 / 2.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The given data is:-
There are 8 numbers in the spinner.We need to find the probability of a number greater than 10.The probability will be calculated as:-
Total numbers = 8
Numbers greater then 10 are = 13 , 16 , 22 , 42 = 4
Probability = 4 / 8 = 1 / 2
Therefore the probability you spin something larger than 10 will be 1 / 2.
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If x and y are complementary angles, then y is a right angle.
right?
calculate the area of this trapezium:
b = 15cm
h = 6cm
top part = 9cm
PLEASE I NEED THIS ASAP !!!
Answer:
72
Step-by-step explanation:
hopefully you dont need work since you need it asap :(
Answer:
Step-by-step explanation:
1/2 (a+b) x h
a+b = 9+15= 24 / 2 = 12
12 x 6 = 72cm2
please help, i need it done by today but dint know how to solve it
Answer:
B
C
B, C
Step-by-step explanation:
Equation for each tree's growth.
A: y = 4x + 5
You are correct.
B: Your slope is correct, 4.5
Equation of height: y = 4.5x + 3
C: It starts at 10 inches, so in y = mx + b, b = 10.
Now we find the slope from points on the graph (0, 10) and (3, 20).
slope = m = (20 - 10)/(3 - 0) = 10/3
Equation: y = 10x/3 + 10
Questions:
Which tree is growing fastest:
The slope is the rate of growth.
Answer: B since it has the greatest slope.
Tallest tree when planted:
The y-intercept is the4 initial height.
Answer: C since it was 10 inches tall at planting.
Challenge:
A: 4x + 5 = 4(6) + 5 = 29
B: 4.5x + 3 = 4.5(6) + 3 = 30
C: 10x/3 + 10 = 10(6)/3 + 10 = 30
Trees B and C were both 30 inches at 6 months. Tree A was 29 inches.
Answer: B and C
At a diner, the lunch special gives you three choices. For the starter, you can pick from 3 choices (soup or salad or fries) For the main item, you can pick from 2 choices (burger or sandwich) For the drink, you can pick from 2 choices (coke or pepsi) If the staff chooses all items for you randomly, figure these probabilities.
1. Probability of getting (soup, burger, coke)
2. Probability of getting (fries, burger, any drink)
Answer:
1/12; 1/6
Step-by-step explanation:
1. the chance of getting soup is 1/3, the chance of getting a burger is 1/2, and the chance of getting coke is 1/2, multiply these chances to get (1/3) *(1/2) * (1/2) = 1/12
2. the chance of getting fries is 1/3, the chance of getting a burger is 1/2, and the chance of getting any drink is 1, multiply these chances to get (1/3) * (1/2) * 1 = 1/6
Calculate the surface area of the composite figure
Answer:
Below in bold.
Step-by-step explanation:
Total surface area = 1/2 * area of a sphere + area of the side o a cone
= 1/2 * 4 π r^2 + π r L
= 1/2 * 4 π 7^2 + π*7*25
= 307.876 + 549.779
= 857.65 in^2 to nearest hundredth.
Which graph has a slope 4/5?
Answer:
The middle option on the top row
Step-by-step explanation:
Slope is calculated as rise/run between two points.
In this case it takes 4 up and 5 to the right to get between the two points, so the rise would be 4 and run 5.
There are 11 cookies in a jar, as listed below. The cookies are all the same size and shape.
•
6 chocolate chips
• 5 oatmeal
One cookie is randomly selected from the jar and not replaced. Then a second cookie is
randomly selected and not replaced. What is the probability they are both chocolate chips?
Answer:
6/11*5/10 = 3/11
Step-by-step explanation:
first we can get 6/11 which is the probability.
then we minus both sides by 1 to get 5/10
then we times them
In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph:
(2, 1990) (5, 4225) (9, 7205)
Find the slope and y-intercept. Explain what each represents.
The slope of the graph is 745 and the y-intercept of the graph is 500
How to determine the slope?The points are given as:
(2, 1990) (5, 4225) (9, 7205)
The slope is calculated using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m = (4225 - 1990)/(5 - 2)
Evaluate
m = 745
This means that the amount earned per day is 745
Hence, the slope of the graph is 745
How to determine the y-intercept?In (a), we have
m = 745
To calculate the y-intercept, we use the following points
(x1 , y1) = (0,y)
Recall that:
m = (y2 - y1)/(x2 - x1)
So, we have:
745 = (4225 - y)/(5 - 0)
Evaluate the difference
745 = (4225 - y)/(5)
Multiply both sides by 5
3725 = 4225 - y
Solve for y
y = 500
This means that the initial amount earned is 745
Hence, the y-intercept of the graph is 500
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How do you write 9.085 x 10-9 in standard form?
Answer: 0.000000009085
Step-by-step explanation: This expression is rewritten like this because it is multiplied by a negative power of ten. Therefore, applying this principle to scientific notation, the answer would have to be less than 0. That would be your answer. Hope this helps!
Lawrence poured 27.328 L of water into a right rectangular prism- shaped tank. The base of the tank is 40 cm by 28 cm. When he finished pouring the water, the tank was ⅔ full. ( 1L=1,000 cm 3).
By using the given dimensions and volume of water, we will see that the height of the tank is 36.6cm
How to find the height of the tank?We know that 27,238 cm³ is the volume of water on the tank, and this is equal to 2/3 of the volume of the tank.
So we can write:
27,238 cm³ = (2/3)*V
Then the volume of the tank is:
V = (3/2)*27,238 cm³ = 40,992 cm³
The base of the tank measures 40cm by 28cm, then:
B = 40cm*28cm = 1,120 cm²
Then the height H is such that:
H*1,120 cm² = 40,992 cm³
Solving for H:
H = (40,992 cm³)/(1,120 cm²) = 36.6cm
The height of the tank is 36.6 centimeters.
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Are the equations 1/2x-8=9 and x-8=18 equivalent?
Answer:
not equivalent
Step-by-step explanation:
solve for x to see if they are equivalent
1/2x-8=9 and x-8=18
1/2x=17
x=34
x-8=18
x = 36
no they are not equivalent
Function k is a transformation of the parent exponential function f. what are the domain and range of function k? k(x)= 2^x
Answer:
Domain: All real numbersRange: All real numbers greater than 0What is the probability of rolling two dice, and having a total of 8 dots showing? Express your answer as a percent
rounded to the nearest hundredth.
11.11%
15%
16.67%
13.89%
3 substracted from 9 times 2 and 5 is added
Answer:
20
Step-by-step explanation:
It is because 9x2=18
3 subtracted from 18 is 15
15+5=20
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What are two possible measures of the angle below?
A boat is heading towards a lighthouse, whose beacon-light is 139 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 11 degrees
∘
. What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest hundredth of a foot if necessary.
Using the slope concept, it is found that the ship’s horizontal distance from the lighthouse (and the shore) is of 715.09 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we have that:
The vertical change is of 139 feet.The horizontal change is of d feet.The angle is of 11º.Hence:
tan(11º) = 139/d
d = 139/tan(11º)
d = 715.09.
The ship’s horizontal distance from the lighthouse (and the shore) is of 715.09 feet.
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