Jake wanted to measure the width of the pond, so
he drew this diagram of two similar triangles.
What is the approximate width, w, of the pond?
Answer:
C
Step-by-step explanation:
Applying the similar triangle theorem, the width, w, of the pond is approximately: D. 13 feet
Recall:
Similar triangles will have corresponding sides that have proportionate length based on the similar triangle theorem.
The two triangles in the diagram are similar.
Therefore, the ratio of their corresponding sides will be equal (i.e. corresponding side lengths that are proportional).
Thus:
[tex]\frac{5}{w} = \frac{7}{18}[/tex]
Divide both sides by 5[tex]w = \frac{18 \times 5}{7} \\\\w = 12.9[/tex]
Therefore, applying the similar triangle theorem, the width, w, of the pond is approximately: D. 13 feet
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solve for the variable.
3(2x-4)+6=30
x=___
Answer:
x = 6
Step-by-step explanation:
Use distributive property: a(b + c) = a*b + a*c
3(2x - 4) + 6= 30
3*2x - 3*4 + 6 = 30
6x - 12 + 6 = 30
6x - 6 = 30
6x = 30+ 6
6x = 36
x = 36/6
x = 6
Answer:
x = 6
Step-by-step explanation:
Simplify 3(2x-4) first: 3 (2x) 3(-4) =
6x - 12+6 = 30
Combine like terms: -12 + 6 = -6
6x - 6 = 30
Add 6 to both sides: 6x = 36
Divide both sides by 6: x = 6
CHECK:
3( 2(6) - 4) +6 = 30
3 (12-4) +6 = 30
3(8) +6 = 30
24+ 6 = 30
30 = 30
Is point (9,7) on line J explain why or why not
Answer:
you need to add the image
Step-by-step explanation:
Variable on both sides
John will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.96 and costs an additional $0.12 per mile driven.
The second plan has an initial fee of $47.96 and costs an additional $0.16 per mile driven. How many miles would John need to drive for the two plans to cost
the same?
II miles
Х
?
So for starts we can go 0.16 x 63 miles = 10.04 so the total for the second plan would be $58 with driving 63 miles. and for the first plan would be 0.12 divided by 3 would be 0.04 so we add them together and we get $58 with driving a 3rd of a mile.
Overall:
1st plan: $58 with driving a 3rd of a mile.
2nd plan: $58 with driving 63 miles.
26-d=8 I need help on this pls
Answer:
d=18.
Step-by-step explanation:
subtract eight from twenty six and there's your answer
write an equation for the line in slope intercept form.
For which value of a are the graphs of 4 = 3x + 6y and ax – 8y = 12 parallel?
a = -4
O a =
= - 1 / 1
a = 1/2
O
a = 2
Answer: a=-4
Step-by-step explanation:
PLZ HELP ME WITH THISSSS
The graph shows the parent function f(x)=0.75x.
answer:
it should be the graph on the top right!
The graph of the parent function f(x) = 0.75ˣ + 1 is shown in figure.
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The parent function is,
⇒ f(x) = 0.75ˣ + 1
Now,
Since, The parent function is,
⇒ f(x) = 0.75ˣ + 1
Hence, The points on the function are (0, 2) and (1, 1.75).
Thus, The graph of the parent function is given in option 2.
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1. Simplify: 2√50 × 3√32 × 4√18
Answer:
Answer is 4072.93506 and there's full explanation.
Write the line equation.
Which set of data contains two outliers? 113, 115, 103, 114, 109, 111, 119 141, 151, 138, 142, 149, 140, 150 99, 113, 91, 104, 109, 114, 97 101, 135, 131, 99, 138, 136, 140
Answer: 99,113,91,104,109,114,97
Step-by-step explanation:
Got 100% on the quiz :)
Answer:
D: 101, 135, 131, 99, 138, 136, 140
Step-by-step explanation:
edg2021 (do not get this confused with the question: "which set contains no outliers" hope this helps, please mark me brainliest if it does
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
2 times the square root of 41
Answer:
2× square root of 4 should be the answer hope this helpss! :3
Write this percentage as a fraction in its simplest form.
20%
Answer:
it is 1/5
Step-by-step explanation:
.............
whats is x2 - x - 12 = 0
Answer:
x = -3 or x = 4
Step-by-step explanation:
[tex]x^2-x-12=0[/tex]
[tex](x+3)(x-4)=0[/tex]
[tex]x + 3 = 0[/tex]
[tex]x = -3[/tex]
[tex]x - 4 = 0[/tex]
[tex]x = 4[/tex]
Answer:
x=-3 or x=4
Step-by-step explanation:
x2−x−12=0
Step 1: Factor left side of equation.
(x+3)(x−4)=0
Step 2: Set factors equal to 0.
x+3=0 or x−4=0
x=−3 or x=4
It was in Copenhagen and in Oslo. Which city was colder?
Answer:oslo was colder it was -12 and copenhagen was -6
Help will give star and brainlest or what ever is the highest you can give a comment!!!
Answer:
puppies - 22
Step-by-step explanation:
since the ratio is 2:3, there are 5 parts in total. (2+3=5)
55/5=11 then multiply by parts
puppies- 2×11=22
adults- 3×11=33
check answer by adding- 22+33=55
Answer:
22 puppies and 33 adult dogs
Step-by-step explanation:
Total: 55 Dogs
Ratio: 2:3
Puppies : Adults
2 : 3 (1)
20 : 30 (10)
22 : 33 (11)
Answer = 22 puppies
PART A: Which statement below is true?
1. A = H
2. I = C
3. B = G
4. I = A
PART B: Which statement below is true?
1. AC = IH
2. BC = HI
3. GH = BC
4. IG = CB
Answer:
Part A is I = C
&
Part B is BC = HI
Help me to do this problem System by sustitution.
4) y = -3x - 7
-6x - 2y = 14
Answer:
The system of equations has infinite solutions
Step-by-step explanation:
∵ y = -3x - 7 ⇒ (1)
∵ -6x - 2y = 14 ⇒ (2)
→ Substitute y in equation (2) by equation (1)
∴ -6x - 2(-3x - 7) = 14
→ Simplify the left side
∵ -6x - 2(-3x) - 2(-7) = 14
∴ -6x + 6x + 14 = 14
→ Add the like terms in the left side
∵ (-6x + 6x) + 14 = 14
∴ 0 + 14 = 14
∴ 14 = 14
∵ The variable is disappeared and the two sides of the equation equal
∴ The equation has many solutions
→ That means x and y can be any numbers
∴ The system of equations has infinite solutions
please help it is due today at 4:40
Answer: decrease
50% I think this is correct
Step-by-step explanation:
Answer:There was a
66.7
%
d
e
c
r
e
a
s
e
in the number of people.
thats also rounded hope it helps :)
Step-by-step explanation:
What decimal is equivalent to 15%
Answer:
0.15 is the right answer
Answer:
0.15
Step-by-step explanation:
15% is equivalent to the decimal 0.15. Notice that dividing by 100 moves the decimal point two places to the left.
How do I graph this? Domain: 1 Range: 2
Answer:
You graph them by using the domain as x and the range y.
Step-by-step explanation:
Angus has $3,000 he want to invest. What interest rate compounded continuously does an account need to offer so that Angus has $5,500 in 8 years?
Answer:
The interest rate is 7.58%
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
A = P[tex]e^{rt}[/tex], where
A is the future value of the investment, including interestP is the principal investment amount (the initial amount)r is the interest rate in decimalt is the time the money is invested for∵ Angus has $3,000 he want to invest
∴ P = 3000
∵ The interest rate is compounded continuously
∵ Angus has $5,500 in 8 years
∴ A = 5500
∴ t = 8
→ Substitute them in the rule above to find r
∵ 5500 = 3000[tex]e^{8r}[/tex]
→ Divide both sides by 3000
∴ [tex]\frac{11}{6}[/tex] = [tex]e^{8r}[/tex]
→ Insert ㏑ in both sides
∵ ㏑( [tex]\frac{11}{6}[/tex] ) = ㏑([tex]e^{8r}[/tex])
→ Remember ㏑([tex]e^{n}[/tex]) = n
∴ ㏑( [tex]\frac{11}{6}[/tex] ) = 8r
→ Divide both sides by 8
∴ 0.07576697545 = r
→ Multiply it by 100% to change it to a percentage
∴ r = 0.07576697545 × 100%
∴ r = 7.576697545 %
→ Round it to the nearest hundredth
∴ r ≅ 7.58
∴ The interest rate is 7.58%
PLEASE HELP!! An alien blob started with a mass of 4 kg and is doubling in size every day. How large will the blob be after 2 weeks?
Answer:
56
Step-by-step explanation:
Write an equation of the parabola in vertex from y=a(x-h)^2 +k that passes through (-7,-15) and has vertex (-5,9).
Answer:
Step-by-step explanation:
We have the work form of the equation, and we also have values for x, y, h, and k. All we need to do is fill those in and solve for a:
[tex]-15=a(-7-(-5))^2+9[/tex]
Let's clean that up a bit.
[tex]-15=a(-2)^2+9[/tex] and
-15 = 4a + 9 and
-24 = 4a so
a = -6
Now we'll fill in the a value along with the h and k to get
[tex]y=-6(x+5)^2+9[/tex] which is choice C
Wyatt bought 12 souvenirs during 3 days of vacation. How many days will Wyatt have to spend on vacation before he will have bought a total of 20 souvenirs? Solve using unit rates
Answer: 5 days
Step-by-step explanation:
12/3=4 souvenirs a day
20/4=5 days
Answer:
Assuming Wyatt buys the same number of souvenirs per day (4), it will take him 5 days to buy 20.
Step-by-step explanation:
12/3 = 4 souvenirs/days
20/4 = 5 days
Chuck needs to drive 400 miles on the highway.
Gas costs $1.50 per gallon. How much will it cost for
gas to drive his truck 400 miles?
Answer:
$600
Step-by-step explanation:
400*1.5=600
Ingrid claims that Cosine (negative StartFraction pi over 2 EndFraction + y) = sine (y). Review Ingrid’s steps in verifying her claim.
A 2-column table with 5 rows. Column 1 has entries Step 1, step 2, step 3, step 4, step 5. Column 2 has entries cosine (negative StartFraction pi over 2 EndFraction + y) = sine (y), cosine (negative StartFraction pi over 2 EndFraction) cosine (y) minus sine (negative StartFraction pi over 2 EndFraction) sine (y), 0 times cosine (y) minus 1 times sine (y) = sine (y), 0 minus sine (y) = sine (y), sine (y) = sine (y).
Which statement describes Ingrid’s claim that Cosine (negative StartFraction pi over 2 EndFraction + y) = sine (y) and her steps in verifying her claim?
Ingrid’s claim is correct, and her steps are correct.
Ingrid’s claim is correct, but her steps are incorrect.
Ingrid’s claim is incorrect, but her steps are correct.
Ingrid’s claim is incorrect, and her steps are incorrect.
9514 1404 393
Answer:
(b) Ingrid’s claim is correct, but her steps are incorrect
Step-by-step explanation:
As nearly as we can tell from the problem statement, Ingrid's table looks like the one attache. We have highlighted the incorrect steps.
Step 3 should read ...
0·cos(y) -(-1)·sin(y) = sin(y) . . . . . . . . . sin(-π/2) = -1
Step 4 should read ...
0 + sin(y) = sin(y)
So, Ingrid's conclusion is correct, but her steps are incorrect.
please help!! i’ll mark brainliest!!!!
Answer:
x^2+11x+30
Step-by-step explanation:
.In the coordinate x,y the point x is calledorigin
abscissa
line
y-axis
Answer:
The x coordinate is known as abscissa (B)Step-by-step Explanation:
In a Cartesian plane, we learn many such terms which represent a point, or a line, or cooridnates of some points etc[tex].[/tex]
Such terms are:
Origin (Intersection of x axis and y-axis.)x - axis (Horizontal line)y - axis (Vertical line)abscisaa (x -coordinate)ordinate (y - coordinate)