Answer:
Step-by-step explanation:
A=2(10)12+2(10)9+9(12)
A=240+180+108
A=528 in^2
John drove his car due east for 8 miles. He then turned south and drove 15 miles. How far was he from where he started?
Answer:
John was 17 miles away from where he started.
Step-by-step explanation:
The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.
Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].
So to solve this, work backwards:
[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]
The distance between the initial and final point will be 17 miles.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
This can be expressed as
H² = P² + B²
John drove his car due east for 8 miles.
He then turned south and drove 15 miles.
Then the distance between the initial and final point will be
H² = 8² + 15²
H² = 64 + 225
H² = 289
H = 17 miles
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
A meteorologist reports that the temperature today will be colder than −1° Fahrenheit. The inequality is t < −1. The variable t represents the temperature.
A number line going from negative 2 to positive 2.
Which numbers are solutions of the inequality? Choose all that apply.
–2
0
1
–10
–3
–1
Answer:
its 145
Step-by-step explanation:
Answer:
D: –10
Step-by-step explanation:
edge2020
HELPPP
A. 9
B. 20
C. 16
D. 4
Answer:
C 16
Step-by-step explanation:
Using ratios
3:12
12/3=4
4:x
4*4=16
x=16
4:16
hope this helps:)
i am failing. help.
12 Units to the right of zero on a number line
Answer:
12
Step-by-step explanation:
0 + 12 = 12
Answer:
12
Step-by-step explanation:
the 2 numbers 12 units away from 0 are 12 and -12
since it's to the right of 0, it's positive
After 32 years from now a boy will be 5 times as old as he was 8 years back.How old is the boy now?
Answer:
18 years
Step-by-step explanation:
Transforming the question in form of equation:
Let x be the current age.
x + 32 = 5(x-8)
x + 32 = 5x - 40
5x - x = 40 + 32
4x = 72
x = 18
Answer: look at this! He’s 18
Step-by-step explanation:
equation = x+32=5(x-8)
X+32=5x-40
5x-x=32+40
4x=72
X=72/4
=18
What is 1- (58%+3%) expressed in percent form
Answer:
39/100 or 39%
Step-by-step explanation:
1−(58/100+3/1000)
=39/100.
39%
Dave buys a goat and sheep for a total price of £120 as is surprised to find that the goat was twice the price of the sheep..
He made twice as much profit on the sheep as he did on the goat having sold both for a combined price of £180.
What is the percentage profit on the sheep?
Answer:
Let's define:
G = cost of a goat
S = cost of a sheep.
We know that the total cost for a goat and a sheep is £120, then:
S + G = £120
And the cost of the goat is twice the price of the sheep, then:
G = 2*S
To solve this system, we can just replace the second equation into the first one, then we get:
S + (2*S) = £120
3*S = £120
S = £120/3 = £40
This means that each sheep costs £40
And the cost of a goat is:
G = 2* £40 = £80.
Now we know that he sold both of them, where:
s = price of the sheep
g = price of the goat.
We know that he sold both of them for £180, then:
s + g = £180
And the profit of the sheep is twice the profit of the goat, then:
(s - S) = 2*(g - G)
(s - £40) = 2*(g - £80)
s - £40 = 2*g - £160
Then we have a system of equations:
s + g = £180
s - £40 = 2*g - £160
To solve this, we first could isolate g in the first equation:
g = £180 - s
Replacing this in the other equation we get:
s - £40 = 2*( £180 - s) - £160
s - £40 = £360 - 2*s - £160
s - £40 = £200 - 2*s
s + 2*s = £200 - £40 = £160
3*s = £160
s = £160/3 = £53.33
Then the percentage profit for the sheep is:
percentage profit = (s/S)*100% = (£53.33/£40)*100% = 133.3%
Then the percentae profit is 33.3%, which means that the sheep was sold at 133.3% of its original cost, leaving a profit of 33.3% of its original cost.
Correct answer pleaseeeee
A financial analyst constructs a statistical model to represent the market shares of several similar companies.She then collects data over the next month to evaluate her model.At the end of the month,she finds that for one of the companies,the difference between her model and the data is 5%.
She decides to collect dats for an additional two months. If her model is valid,what could she except from the total data collected after three months?
A.)The difference between the data and the model will get larger.
B.)it is important to predict how the difference between the data and the model will change.
C.)The difference between the data and the model will get smaller
D.) The difference between the data and the model will stay the same
Answer:
D
Step-by-step explanation:
The difference between the percentage of the data and the model will stay the same.
Answer:
will get smaller.
Step-by-step explanation:
how much simple interest is earned on 3,500 in 3 1/2 years interest rate of 1.5%
Answer:
Loan amount
3,000
$
Interest
1.5
%
Payment
45
$
/
per year
Step-by-step explanation:
Write the equation of the line with a slope of 10 that goes through the point (8. -2) in Slope-Intercept and Point-Slope Form.
Slope-Intercept Form:
Answer:
Slope-Intercept: y = 10x - 82 Point Slope form: y + 2= 10(x - 8)
Step-by-step explanation:
To create a Slope-Intercept form, you need to first find the y-intercept. To do that, you need to plug in the coordinates in the eqaution so far, y = 10x +b.
y = 10x +b.
-2 = 10(8) + b
-2 = 80 + b
-82 = b
y = 10x - 82
Point Slope form: y + 2= 10(x - 8)
can anyone please help and tell me what the answer to this question is?
Answer: what question?
work out the gradient of a line which has a gradient of 2 and passes through the point (1,4).
cos 45° cos 30° + sin 45° sin 30°
Answer: hi hope this helps
Step-by-step explanation:
Hillside middle school chorus is giving a concert in the cafeteria
plz help me with these questions tomorrow is my exam and i need to practice them
Answer:
good luck !!!!!!!
hope this help for you !!!!!
What is the length of arc S shown below?
Enter an exact expression.
SA
21
MY
S
4
2 cm
Pro
PO
The angle in the figure is a central angle in radians.
Answer: pi/2
Step-by-step explanation:
Can someone help me with this?
Answer:
I think it's y= +10
not sure tho :))
24xy-xy^3+x^2 find the degree plz
Answer:
4
Step-by-step explanation:
24xy---> 2
-xy3--->4
x2--->2
Monica has this recipe for fruit salad. 2 1/2 cups of pers, 2/3 cups of grapes, 1 1/4 cups of apples, and 1/2 of orange slices. How many cups for fruit is it in total?
Answer:
[tex]3\frac{11}{12}[/tex] cups
Step-by-step explanation:
[tex]2\frac{1}{2} = \frac{5}{2}[/tex] of pears
[tex]\frac{2}{3}[/tex] of grapes
[tex]\frac{1}{4}[/tex] of apples
[tex]\frac{1}{2}[/tex] of orange
when adding fractions, make sure all denominators are the same:
[tex]\frac{5}{2} = \frac{30}{12}[/tex] of pears
[tex]\frac{2}{3} = \frac{8}{12}[/tex] of grapes
[tex]\frac{1}{4} = \frac{3}{12}[/tex] of apples
[tex]\frac{1}{2} = \frac{6}{12}[/tex] of orange
add all of the fractions:
[tex]\frac{30}{12} + \frac{8}{12} + \frac{3}{12} + \frac{6}{12} = \frac{47}{12}[/tex]
convert to mixed fraction:
[tex]\frac{47}{12} = 3\frac{11}{12}[/tex]
Look at the other guys
the area of a triangle is 12 cm squared. If the base of the triangle is 4 cm what is the height
Answer:
6 cm
Step-by-step explanation:
convert 5 km into millimeters
Answer:
5000000mm
im smart
Answer:
5,000,000mm
Step-by-step explanation:
1km = 1000m
1 m = 100cm
1cm = 10 mm
5km = 5000m
5000m = 500,000cm
500,000cm = 5,000,000mm
18% as a fraction in its simplest form
Answer:
9/50
Step-by-step explanation:
18% = 18/100
GCF of 18 and 100 = 2
(18 ÷ 2)/(100 ÷ 2)
9/(100 ÷ 2)
9/50
Helpp pleaseeeee and could u put an explanation of how you did it?
Answer: Option A
Step-by-step explanation:
To get from A to A', what is done?
A is at the point (2,6) and A' is at the point (2,-1)
The x value of the two points stayed constant (didn't change) meaning that options C and D are invalid (because those two are transformations to the x-value)
Now let us take a look at options A and B which both concern the y value
The y-value of A is 6 and A' is -1
To get from 6 to -1, do you
a) subtract 7
or b) = multiply by -1
Let us test it out:
a) 6 - 7 = -1 (yes, it equals -1)
b) 6 * -1 = -6 (no, it does not equal the intended value of -1)
Thus correct choice is A, we subtract 7
I need help with this
9514 1404 393
Answer:
pyramidprismprismpyramidprismStep-by-step explanation:
A triangular prism will have exactly 2 triangular sides (bases).
A triangular pyramid will have at least 3 triangular faces.
Count the triangles and classify accordingly.
Left to right, the number of triangles is ...
4, 2, 2, 4, 2
The figures with 4 triangles are pyramids; the others are triangular prisms.
Sam is making a delivery to a store. The total trip will be 410 miles. He is driving at a constant rate of 65 miles per hour. He has already driven 20 miles. How much longer will it take him to get to the store?
Answer:
6 hours
Step-by-step explanation:
20 + 65x=410
65x=390
x=6
Point B has coordinates (4,1). The x-coordinate of point A is -8. The distance between point A and point B is 13 units. What are the possible coordinates of point A?
Answer:
1.3
Step-by-step explanation:
B: (4,1)
A: (-8, 1.3)
pythagorean theorem:
a leg: .3
b leg: 13
c: 13
please help me this is all my grade!!!!
Select all the system of equations that have exactly one solution
A- y=2x+1
y=x+2
B- -x+10
-x+12
C- y=3x+1
y=3x+7
D- y=4x
y=x-6
Answer:D
Step-by-step explanation:
4) Madison's mom wrote the names of every day of the week on separate pieces of paper. Then she put the papers
in a hat. Madison would have to clean her room on the day that she blindly picked from the hat. What is the
probability that Madison will clean her room on a day that starts with the letter T'?
Talib
Answer:
2/7
Step-by-step explanation:
There are 7 days in a week, and 2 days start with the letter T.