Answer:
The distance the sprinkler is away from any one tree is 6.32 m if it is 2 m from the fence and 6.71 m if it is 3 m from the fence.
Step-by-step explanation:
Since the perimeter of the triangle P = a + b + c where a, b and c are the length of sides. Since the triangle is an equilateral triangle, a = b = c. So,
P = 3a
a = P/3
Since the perimeter = 36 m,
a = 36 m/3 = 12 m.
Since the sprinkler is 2 m from the fence joining the oak tree and maple tree, thee line perpendicular from the sprinkler to the fence is thus 2 m. This line cuts the side at the midpoint of the fence which is 12 m/2 = 6 m.
Since this is now a right-angled triangle, we now use Pythagoras' theorem to find the distance from the sprinkler to each tree which is
L = √[(2 m)² + (6 m)²]
= √[ 4 m² + 36 m²}
= √40 m²
= 2√10 m
= 6.32 m
If the fence is 3 m from the sprinkler, the distance
L = √[(3 m)² + (6 m)²]
= √[ 9 m² + 36 m²}
= √45 m²
= 3√5 m
= 6.71 m
So, the distance the sprinkler is away from any one tree is 6.32 m if it is 2 m from the fence and 6.71 m if it is 3 m from the fence.
Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies. Which equation should she use to find the number of teaspoons of baking soda, x, needed if she uses 9 cups of sugar?
Given:
Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies.
To find:
The equation that she should use to find the number of teaspoons of baking soda, x, needed if she uses 9 cups of sugar.
Solution:
Let the number of teaspoons of baking soda be x, that is needed if she uses 9 cups of sugar.
For every 2 teaspoons of baking soda Trisha uses 3 cups of sugar.
For every 1 teaspoons of baking soda Trisha uses [tex]\dfrac{3}{2}[/tex] cups of sugar.
For every x teaspoons of baking soda Trisha uses [tex]\dfrac{3}{2}x[/tex] cups of sugar.
Since she uses 9 cups of sugar for every x teaspoons of baking soda, therefore,
[tex]\dfrac{3}{2}x=9[/tex]
Multiply both sides by 2.
[tex]3x=18[/tex]
Divide both sides by 3.
[tex]x=6[/tex]
Therefore, the required equation is [tex]\dfrac{3}{2}x=9[/tex] and the number of required teaspoons of baking soda is 6.
a line in point-slope form that goes through the points (8,-9) and (-4,15).
Answer: The answer is 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
dtermine the slope of the line (9,-8) (3,4)
Answer:
The answer is -2
Step-by-step explanation:
Use the dropdowns to fill in the outputs for the given inputs, using the function y=-2x+1
x y
-3 ?
-1 ?
2 ?
0 ?
pls help
The drama teacher decreased the length of a play from 90 minutes to 60 minutes. What was the percent decrease in the length of the play?
Answer:
it was decreased by 67%
Step-by-step explanation:
Answer:
67 %
Step-by-step explanation:
What number is between 0.50 and 1.00
Answer:
0.75 is one answer.
Step-by-step explanation:
There are infinite numbers between those two numbers.
0.51, 0.52, 0.53. . . . so on.
Hope I helped :)
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What would be the ending balance in an account if $3,500 is invested at
6% for seven years using simple interest?
Answer:
$4,970
Step-by-step explanation:
Distribute 3(x^2+2x)
Answer:3
3[tex]x^{2}[/tex]+6x
is this what you want?
Step-by-step explanation:
-3
3m2n)
Which expression is equivalent to
?
6mn-2
Answer:
a
Step-by-step explanation:
if 3/8 of a pizza cost $5, how much would a full pizza cost? (Be sure to write your answer in the form of money)
$13.35 rougly around that
Explain! Reward! Thank you !!!!!
Answer:
its the last one
Step-by-step explanation:
so first you gotta add up all the animals in the zoo
2+4+3+6 which equals 15
then you gotta see how many goats there are there are 6 goats
so 6/15 are goats
U CAN REDUCE
so what number can divide into 6 and 15 evenly? 3!!!!!
so u divide 6 by 3 to get 2
then u divide 15 by 3 to get 5
NOW U GOT THE ANSWER 2/5
You hang two strings of decorative lights. Strand 1: changes between red and blue every 15 seconds. Strand 2: changes between green and gold every 18 seconds. Both strands just changed color. After how many seconds will the strands change color at the same time again?
Answer:
The strands change color at the same time again after 90 seconds
Step-by-step explanation:
We are told:
Strand 1: changes between red and blue every 15 seconds.
Strand 2: changes between green and gold every 18 seconds.
To solve for this question, we use the LCM method.
Step 1
List multiples of each number until the first common multiple is found.
Multiples of 15:
15, 30, 45, 60, 75, 90, 105, 120
Multiples of 18:
18, 36, 54, 72, 90, 108, 126
Therefore,
LCM(15, 18) = 90
The first common multiple is 90, and this is the lowest common multiple.
Therefore, the strands will change color at the same time again after 90 seconds.
Passes through (4,2) and is vertical
Answer:
the equation for the line would be x= 4
Step-by-step explanation:
vertical lines means that only the x axis will be crossed by the line
this means that if you have a point of a vertical line, you can take the x value in it to determine the equation
Jeremy's car went 300 miles (highway) on 10 gallons of gasoline. What was the average number of miles per gallon?
c. 32 mpg
a. 31 mpg
b. 29 mpg
d. 30 mpg
Please select the best answer from the choices provided
A
С
D
Please help me solve this problem
Answer:
x=2
Step-by-step explanation:
because if you put the equation as in x+11=6x+1 and do the equation you'll get x=2
) You owe $135. on your credit card. You make a $45. payment and then purchase $97 worth of clothes at Kohl’s. What is the integer that represents the balance owed on the credit card?
Answer:
$ 187
Step-by-step explanation:
Assuming the credit card is for Kohl's,
You make a 45 dollar payment: your debt goes down by 45
You make a 97 dollar purchase: your debt goes up by 97
135-45+97
Your current debt is 187 dollars. Not a nice way to live if you ask me!
hi someone pls help me with #2
Answer:
B
Step-by-step explanation:
Determine the angle of rotation.
-165
-125
125
165
Answer:
-165
Step-by-step explanation:
Hi, I need help with this equation
[tex]9^7/9^n = 9^2[/tex]
what is the value of n?
Will give brainliest to accurate answer.
A ball thrown straight up in the air travels 90 inches in the first tenth of a second. In the next tenth of a second the ball travels 85 inches. After each additional tenth of a second, the ball travels 5 inches less than it did during the preceding tenth of a second. How long will it take before the ball starts coming back down? What is the total distance that the ball has traveled once it reaches its maximum height?
Answer:
855
Step-by-step explanation:
1.9 seconds is 19 tenths, so that means we add using the information given, which is that the ball travels 5 fewer inches every tenth of a second:
Time | Inches traveled
0.1 | 90
0.2 | 85
0.3 | 80
0.4 | 75
0.5 | 70
0.6 | 65
0.7 | 60
0.8 | 55
0.9 | 50
1.0 | 45
1.1 | 40
1.2 | 35
1.3 | 30
1.4 | 25
1.5 | 20
1.6 | 15
1.7 | 10
1.8 | 5
1.9 | 0
90+85+80+75+70+65+60+55+50+45+40+35+30+25+20+15+10+5+0=855
What are some Integers that are not whole numbers? Please help its due tomorrow!! and its currently 8pm. I need this! I'll give you brainliest.
Answer:
0,-1,-2,-3,-4,-5,-6,-7
Step-by-step explanation:
Any negative number is an integer, that is not a whole number
STORAGE COSTS According to a certain prediction equation, the cost of 200 square feet of storage space is $60. The cost of 325 square feet of storage space is $160. Find the slope of the prediction equation (in decimal form). Use the prediction equation to calculate the cost of 520 square feet. (use slash symbol to separate both answers, do not space)
Answer: for the first one it would be y=.8x-100 and the other answer would be 180
Let me know ASAP pls if it’s correct I found the answer online
Answer:
Full answer is
.8 for 1st one
and 360 for 2nd one
Step-by-step explanation:
Correct answer was given after wrong one.
I need help with my homework , Please.
Answer:
Yes they are congruent.
Step-by-step explanation:
Congruent triangles are triangles that are the same size and shape. Since the triangle was split in half, both sides of the triangle are congruent to each other. If you fold the triangle, both will allign perfectly on top of one another.
What is the slope of the line that contains these points?
Pls help
Answer:
-1
Step-by-step explanation:
m=y2-y1/x2-x1
-6-(-5)=(-1)
6-5=1
-1/1=(-1)
hope this helps :3
if it did pls mark brainliest
Jamal needs to dig a ditch 15 yards long.
Jamal digs 7 yards in the morning and
another 3 yards after lunch. How much is left to dig
more of the ditch is left to dig?
Answer:
5 yards
Step-by-step explanation:
7y+3y=10yards
15yards-10yards=5yards
i need help with this
Answer:
answer is A
Step-by-step explanation:
This symbol is called a tilde. In symbolic logic (a field of math
used a lot in computer sciences) it is used to denote "not." For
example, ~A means "not A." In some other contexts, it means
"approximately." For example, pi ~= 3.1416. (Note that sometimes it is
written above the equal sign, and sometimes it is used without an
equal sign - it depends on the situation and the publisher.)
There are 75 ounces of chips in the extra-large bag. A serving size is 4 ounces. How many servings are in the chip bag?
Answer:
18
Step-by-step explanation:
75 divided by 4 is 18.75
so there are 18 servings
5=45 ÷
What is the answer
45 ÷ 5 = 9
So, 5 = 45 ÷ 9
can someone help me solve 2× +7 =21
Answer:
x=7
Step-by-step explanation:
2x+7=21
Minus 7
2x=14
Divide 2
x=7
is it proportional or non proportional
Answer:
proportional
Step-by-step explanation:
13/2=6.5
19.5/3=6.5
26/4=6.5
32.5/5=6.5
so if all equal the same they are proportional