Dilation and rotation.
5. INDIRECT MEASUREMENT A lighthouse casts a 128-foot shadow. A nearby lamppost that
measures 5.25 feet casts an 8-foot shadow.
Write a proportion that can be used to determine the height of the lighthouse. What is the height of the lighthouse?
MGSE9-12.G.SRT 5
b. 5.25
a. 1285.25; 195 ft
X 128
8 ; 84 ft
128
c. 5.25" 8 ; 672 ft
X 128
d. 3 5.25; 195 ft
Using proportions, it is found that the height of the lighthouse is of 84 ft.
This question is solved by proportions, using a rule of three.For a height of 5.25 feet, the shadow is of 8 feet. What is the height when the shadow is of 128 feet?The rule of three is:
5.25 feet - 8 feet
x feet - 128 feet
Applying cross multiplication:
[tex]8x = 5.25(128)[/tex]
[tex]x = \frac{5.25(128)}{8}[/tex]
[tex]x = 84[/tex]
The height of the lighthouse is of 84 ft.
A similar problem, which also uses proportions, is given at https://brainly.com/question/24372153
"the product of negative three and x"
Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.
Answer:
x=(m)(7)(6) or x=m*7*6
Step-by-step explanation:
I need help quickly
Help me please!
Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.
Complete the table below showing the length of the fence and the cost.
Answer:
(cost ---> length)
35 ---> 5
49 ---> 7
56 ---> 8
70 ---> 10
WILL GIVE BRAINLEST!!! A rational expression has been simplified below
(x-2)(x+6) X-2
7(x+6)
*=2
For what values of xare the two expressions equal?
Answer:
You're answer is B. All answers except -6
Step-by-step explanation:
did the test
I’ll mark brainliest!! Please help:)
Answer:
E
Step-by-step explanation:
10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function? Show your work for full credit!
a.2x
b.2x+2
c.x^2
d.2x^2
Answer:
B 2x+2 I don't know whether is correct or not
What’s the answer to 4(1+9x)
Answer:
36x+4
hopes this helps
Answer:
Explanation:
4 ( 1 + 9x)
4 + 36x
Need help really quick look at the picture thank you soooooooo,, muchh
Answer:
The answer would be -7/12
Step-by-step explanation:
Use math.way itll help you tremendously :)
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
w>-20
Step-by-step explanation:
Kerry scored a total of 205 points last season by making
a total of 120 baskets. Some of the baskets were 1-point
free throws (t), and the rest were 2-point field goals (g).
Which pair of equations models this situation?
A.) t+2g=205
t+g=120
B.)t+g=205
t+2g=120
C.)t+g=205
t+g=120
D.)t+2g=205
t+2g=120
Answer:
a
Step-by-step explanation:
Answer:
A.) t+2g=205
t+g=120
Step-by-step explanation:
We know that Kerry scored 205 points by making 120 basket.
t+g=120 { Because some of the basket were 1-point free
t+2g= 205 ( Throws (t) and the rest were 2-point field goals (g)
Choose Yes or No to tell whether each expression is equivalent to this expression.
–3(0.15 – 0.2 + 0.25p)
0.15 – 0.75p
Choose...
–0.45 – 0.6 + 0.75p
Choose...
–3(–0.05 + 0.25p)
Choose...
–3(0.15) + (–3)(0.2) + (–3)(0.25p)
Choose...
Answer:
top to bottom,
Yes
No
Yes
Yes
1\4-2\5
plese help and thank
you
Answer:
3/20
Step-by-step explanation:
3/20 I sure, Just trying this one
Which equation has the solution x = 5?
Select each correct answer.
18−2x=9
x/5+5=6
32−4x=12
11 + 6x = 22
3x + 1 = 9
25/x+4=9
You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?
Answer:
Yes
Step-by-step explanation:
20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so that gives you 84 % . So you scored %84.
Good job
21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays 4.2% per year. Write a polynomial for the interest he will earn in one year if he invests x dollars in the savings account.
The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.
The interest earned after one year is 0.018·xReasons:
The amount Paul has to invest = $900
The annual interest rate from the savings account = 1.8%
The amount the money market account pays per year = 4.2 %
Required: The polynomial for the interest Paul earned by investing x dollars in the savings account.
Solution:
The interest earned is found using the compound interest formula as follows;
[tex]\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]
Where;
A = The amount in the account after one year
P = The original amount invested = x
r = The interest rate offered on the investment = 1.8% = 0.018
t = The time of the investment = 1 year
n = The number of times of application of the interest per period = Once per year
Which gives;
Interest = Amount earned = A - P
Therefore;
[tex]\displaystyle Interest, \ I = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}[/tex]
Plugging in the values gives;
[tex]\displaystyle I = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x[/tex]
The polynomial equation is therefore;
Interest, I = 0.018·x
Using the simple interest formula, we have;
[tex]\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}[/tex]
Which gives;
[tex]\displaystyle Interest = \frac{x \times 1.8 \times 1}{100} = 0.018 \cdot x[/tex]
Interest earned by investing in the savings account for one year, I = 0.018·x
The polynomial representing the interest earned is I = 0.018·xLearn more here:
https://brainly.com/question/11314161
who can solve this equation and get the right answer
solve x-2y=12 if the domain is {-3,-1,0,2,5}
Answer:
x-2y=12
Solve for y
x-2y=12
Subtract x on both sides
-2y=-x + 12
Divide both sides by -2
y=\frac{1}{2}x - 6y=21x−6
the domain is {-3,-1,0,2,5}
Domain are the set of x values
Range are the set of y values
We are given with domain x, we need to find out y values using the equation y=\frac{1}{2}x - 6y=21x−6
when x=-3 , y=\frac{1}{2}(-3)-6=\frac{-15}{2}=-7.5y=21(−3)−6=2−15=−7.5
when x=-1 , y=\frac{1}{2}(-1)-6=\frac{-13}{2}=-6.5y=21(−1)−6=2−13=−6.5
when x=0 , y=\frac{1}{2}(0)-6=-6y=21(0)−6=−6
when x=2 , y=\frac{1}{2}(2)-6=-5y=21(2)−6=−5
when x=5 , y=\frac{1}{2}(5)-6=\frac{-7}{2}=-3.5y=21(5)−6=2−7=−3.5
Range is {-7.5, -6.5, -6 , -5, -3.5}
Step-by-step explanation:
solve the equation ? 1 equation with 2 variables ? that is not possible.
what you mean is probably find the range.
x - 2y = 12
-2y = -x + 12
2y = x - 12
y = (x - 12)/2 = (1/2)x - 6
x = -3
y = 1/2 × -3 - 6 = -1.5 - 6 = -7.5
x = -1
y = 1/2 × -1 - 6 = -0.5 - 6 = -6.5
x = 0
y = 1/2 × 0 - 6 = -6
x = 2
y = 1/2 × 2 - 6 = 1 - 6 = -5
x = 5
y = 1/2 × 5 - 6 = 2.5 - 6 = -3.5
so, the corresponding range of the function is
{-7.5, -6.5, -6, -5, -3.5}
Can someone please help me with this?
4a - 5b = 7
substract 4a from both sides
4a - 5b - 4a = 7 - 4a
positive 4a with negative 4a
5b = 7 - 4a
devide both sides by 5
[tex] \frac{5b}{5} = \frac{7 - 4a}{5} [/tex]
[tex]b = \frac{7 - 4a}{5} [/tex]
A random sample of 150 adults was given an IQ test. It was found that 78 of them scored higher than 100. Based on this, compute a 99% confidence
interval for the proportion of all adults whose IQ score is greater than 100. Then find the lower limit and upper limit of the 99% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Answer:
answer in the link
Step-by-step explanation:
if marked price = 1,540 during the off season a discount was given and it was sold for 1,463. find the discount and the discount percent
Answer:
The discount is $77, and the discount percent is 5%
Step-by-step explanation:
Discount: $1,540 - $1,463 = $77
Discount percent: $1,463 / $1,540 = 0.95, 1.00 - 0.95 = 0.05, 0.05 = 5%
Sixteen Students Have Registered For A Summer Sports Camp. They Are To Be Divided Into Either A Swimming Or A Tennis activity, with no more than 10 students IN EITHER GROUP. in how many ways could the group in the tennis activity be chosen?
There are 5 ways you could choose the group in tennis.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
The total no of students is 16,
As there can be only a maximum of 10 students in a group,
If the student in Swimming is 10 then in Tennis it will be 6,
If the student in Swimming is 9 then in Tennis it will be 7,
If the student in Swimming is 8 then in Tennis it will be 8,
If the student in Swimming is 7 then in Tennis it will be 9,
If the student in Swimming is 6 then in Tennis it will be 10,
Therefore, there are 5 ways you could choose the group in tennis.
To know more about division:
https://brainly.com/question/27566440
#SPJ3
simplify this addition 2m+3m+(-6m)
Answer:
-m
Step-by-step explanation:
2m+3m+(-6m)=2m+3m-6m
=5m-6m
=-m
Answer:
-m
Step-by-step explanation:
2m+3m+(-6m)
Remove parentheses.
2m+3m-6m
Add and subtract.
-1m or -m
Hope this helps :)
what is the answer too 2y-3=-5
2 − 3 = −5
First we need to Add 3 to both sides of the equation:
2 − 3 + 3 = −5 + 3
Then we simplify:
2 = −5 + 3
2 = −2
Now we divide both sides of the equation by the same term:
2 / 2 = −2 / 2
Final answer: = −1
I hope this helps!
Answer:
Y= - 1
Step-by-step explanation:
2y-3= - 5
+3 +3
2y= -2
/2 /2
Y= -1
Step 1: Add 3 to both sides because you want to cancel out the 3 so you do the opposite of what is say's. For example, if it says 2y-3 add 3 or 2y+3 subtract 3 from both sides.
Step 2: Add 3 to -5 which would be -2
Step 3: Since you're "multiplying" Y to 2 you're going to divide 2 to get Y by itself. So 2/2 cancels out and now you're left with y
Step 4: Divide 2 form -2 and you get -1
Let me know if you have any questions and I hope this helps
Help me
pleaseeee
i need help
Answer:
A=2, B=28
Step-by-step explanation:
A:6:7
8:24:B
A=8÷4
=2
B=7×4
=28
Answer:A=2
B=28
Step-by-step explanation:
hiroshi borrowed 3 nonfiction books from the library. This was 25% of the books he checked out. how many books did Hiroshi take out?
Answer:
12 books
Step-by-step explanation:
25% is the same as 1/4
3=25%=1/4
if you multiply 3 by 4 you get 100% or 12
You can also do this by adding 9, aka 3*3, to 3 to get 3*4=12.
guys is there a way to change your age on brainly i pressed the wrong age and now brainly thinks im in high school when im in middle school.
also solve this problem so i can put it under math.
what is 176x 1,789
Answer:
i dont think so...
Step-by-step explanation:
314864
Answer:
314,864 is the product.
Step-by-step explanation:
176 x 1,789= 314,864
6.
3. Use the clues to determine
the number
I have 36 hundreds, 34 tens, and
7 ones. What number am I?
The number is 3947
It should be noted that 36 hundreds will be equal to:
= 36 × 100
= 3600
It should be noted that 34 tens will be:
= 34 × 10
= 340
7 ones will be:
= 7 × 1
= 7.
Therefore, the sum will be:
= 3600 + 340 + 7 = 3947
Answer:
3947
Step-by-step explanation:
test again Add.
3/8+3/8
Answer:
3/4 or 0.75
Step-by-step explanation:
[tex] \frac{3 }{8} + \frac{3}{8} [/tex]
transform the equation
[tex] \frac{3 + 3}{8} [/tex]
calculate
[tex] \frac{6}{8} [/tex]
simplify
[tex] \frac{3}{4} [/tex]
or 0.75
pls help asap! i will mark brainliest!
Answer:
19 or 17
Step-by-step explanation: