a flag pole that is 10 m talk casts a shadow that is 6 m long. what is the distance from the top of the pole to the end of the shadow
Answer:
11.66 meters
Step-by-step explanation:
First draw a diagram. See attachment.
We notice that if we draw everything out, we get a right triangle.
The flag pole and its shadow are the two legs, with lengths 10 and 6 meters. We want to find the distance from the top of the pole to the end of the shadow, so we need to use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:
a² + b² = c²
Here, a = 10 and b = 6, and we want to find c:
a² + b² = c²
10² + 6² = c²
100 + 36 = c²
136 = c²
c = √136 = 2√34 ≈ 11.66 meters
~ an aesthetics lover
Answer:
11.7
Step-by-step explanation:
∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21) ∘ and m\angle B=(2x-15)^{\circ}∠B=(2x−15) ∘ , then find the measure of \angle A∠A.
Answer:
A = 21 degrees
Step-by-step explanation:
Here in this question, we are told to calculate the value of angle A.
When two angles are tagged complementary, what this means is that the addition of both angles gives a total of 90 degrees.
Hence;
A + B = 90
This means that;
(x-21) + (2x -15) = 90
x + 2x -21-15 = 90
3x -36 = 90
3x = 90+ 36
3x = 126
x = 126/3
x = 42
But we are told to calculate the measure of A
A = x -21
A = 42-21
A = 21 degrees
Answer:
21
Step-by-step explanation:
Evaluate the indicated function for f(x) = x2 - 7 and g (x) = x+3
Answer:
-1 but your question doesn't make sense
Step-by-step explanation:
Express in simplest form: 12 (2 + ) − (4 + )
Answer:
20
Step-by-step explanation:
12 (2 + ) − (4 + )
24-4
=20
Answer:
20
Step-by-step explanation:
What is the simplified form of each expression? Use
the Distributive Property.
a. (j + 2)7
b. -8(x-3)
c.-(4-0)
d. -(11 + 2b)
a. 7j + 14
b. -8x + 24
c. -4 + 0
d. -11 - 2b
-(x+3) = 2x-6 what is x
Answer:
x=1
Step-by-step explanation:
So, first you make sure to multiply the parenthesis by the negative so then it would be,
-x-3=2x-6
Then you add the -3 from the right to the other side
so, -x=2x-3
Then you want all the X variables to one side so you subtract the 2x to both sides.
so, -3x=-3
divide both by -3
x=1
Round the following numbers to 2 decimal places 3526.48502 12.6433 0.2099
Step-by-step explanation:
3526.49 12.64 0.21
I hope this helps
Answer:
3526.49
12.64
.21
Step-by-step explanation:
1. On the left of the decimal place, take the third number and if it is = to or higher than 5, round the second number up by 1.
3526.485 becomes 3526.49
2. If it is lower than 5, then just leave the second number alone.
12.6433 becomes 12.64
3. If it is a decimal place number, just take the third number and if it is higher than 5, increase the second number.
.2099 becomes .21
I need help on this question
Answer:
x=32
Step-by-step explanation:
Answer:
x= 32
Step-by-step explanation:
Remember all triangles sum up to 180 degrees.
Equation= 98+50+x=180
Step 1- Add to simplify
148+x= 180
Step 2- Subtract 148 to both sides.
148+x= 180
-148 148
x= 32
I need help on this mathematical equation B is the Midpoint of AC.
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
B is the midpoint of AC so AB = BC.
AB + BC = AC
AB + AB = AC
2(AB) = AC
[tex]2\left(3\left(3x-1\right)\right)=5\left(2x+2\right)[/tex]
Expand:
[tex]2\times3\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\times3x-6\times1=5\times2x+5\times2[/tex]
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x-6+6=10x+10+6[/tex]
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]18x-10x=10x+16-10x[/tex]
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8}=\frac{16}{8}[/tex]
[tex]x=2[/tex]
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
First, we know that the entire segment adds up to 5(2x+2). In other words:
[tex]AB+BC=5(2x+2)[/tex]
Now, since B is the midpoint of AC, by the definition of midpoint, AB and BC are equivalent. So:
[tex]AB=BC[/tex]
Since we know that, let's substitute BC for AB in the first equation:
[tex]AB+BC=5(2x+2)\\[/tex]
This is equivalent to:
[tex]AB+AB=5(2x+2)[/tex]
Combine like terms:
[tex]2AB=5(2x+2)[/tex]
And since we know that AB is 3(3x-1), substitute:
[tex]2(3(3x-1))=5(2x+2)[/tex]
Now, solve for x.
Distribute the left side:
[tex]6(3x-1)=5(2x+2)[/tex]
Distribute both sides:
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]x=2[/tex]
So, the value of x is 2.
And we're done!
Notes:
You didn't particularly state what you need to find. If you want to length of AB or BC, it would be:
[tex]AB=BC=3(3(2)-1)=15[/tex]
And the entire length AC is:
[tex]AC=2(15)=30[/tex]
solve for x. ax-bx=k
Answer:
x= k/a-b
Step-by-step explanation:
Move all terms to the left side and set equal to zero as well as each factor.
Hope this helps.
The value of x is k/ (a-b).
What is Algebra?algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Given:
ax-bx=k
x(a-b)=k
x= k/ (a-b)
Hence, the value x is k/(a-b)
Learn more about algebra here:
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whats the final answer?
Step-by-step explanation:
Tanø=opp/adj
Tan30=x/7. (× b.s 7)
x=7Tan30
x= 4.04
27x^0y^-2 for x=4 and y=3
Answer:
A3=44 56-7
Step-by-step explanation:
1. Sum of two numbers = 15
Difference of the numbers = 3
Find the numbers.
What is their product?
P + 4 Solve for p
--------- = 5
6
Answer:
p = 26
Step-by-step explanation:
(p+4)/6 = 5
Multiply each side by 6
(p+4)/6 *6 = 5*6
p+4 = 30
Subtract 4 from each side
p+4-4 = 30-4
p = 26
What ratios are equivalent to 7:3|. 12:9, 14:6, 11:7, 4:2,| PLZ HELP
Answer:
14:6 is the same as 7:3
Step-by-step explanation:
both variables seven and three are multiplied by the same number (2) just like with division if you do the same thing to both sides it's still equal
Answer:
14:6
Step-by-step explanation:
When 2 is divided by the two numbers, 14 and 6, it will be 7:3.
Under the Declaration of Independence ordinary citizens have the right to do what and why?
Answer:
yes, ordinary netizens have a right to do what they want or what opinion they want to say. Declaration of Indepence is not just for powerful people but also for ordinary netizens in order for them to spek the truth
if
f(x)=5x+7
and
g(x)=-2x-4
find
f(g(x))=___x+___
Step-by-step explanation:
F(g(x)) = -10x-13
First blank: -10
Second blank: -13
Please Help!! 10 Points!! Brainliest answer
Answer:
XW since it matches the same as IH
Step-by-step explanation:
example if it asked another question saying what corresponds with XY. XY is on the last part of the statement so it would correspond with IJ
Jordan borrowed some money from his friend in order to help buy a new video game
system and agreed to pay the friend back a constant amount each week. Jordan
originally borrowed $120 from his friend and after 2 weeks, he still owed his friend
$90. Write an equation for L, in terms of t, representing the amount Jordan owes
his friend after t weeks.
Answer:
l=-15t+120
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total amount borrowed = $120
Amount left to pay after 2 weeks = $90
This means,
In 2 weeks the amount paid.
= 120 = 90
= $30
The amount paid per week is constant.
2 week = $30
Divide both sides by 2.
1 week = $15
Now,
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
Thus,
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
Learn more about expressions here:
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the length of a rectangle is 3 inches m ore that its width. if the perimeter is 42 inches, what are the dimensions of the rectangle
Answer:
width is 9 length is 12 :)
Step-by-step explanation:
I'm doing this stuff rn
60% of a class studied for the quiz. 70% of the class passed the quiz. If 12 people did not study for the quiz, how many students passed the quiz
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
4 to the second power is the same as 4 squared. True or false ?
Answer:
False.
Step-by-step explanation:
a bin contains 26 markers four students each choose the same number of markers if they choose as many markers as possible how many markers are left in the bin
Please Help Me Which letter represents Chinese dynasties? Which letter represents the birthplace of Hinduism? Which letter represents the beginning of the Hebrew culture?
Step-by-step explanation:
chinese dynasties=C
Hinduism birthplace=B
Hebrew culture=A
Solve the literal equation cy−7=5d+3y for y.
y=
Answer: y = 5d + 7 / c - 3
Step-by-step explanation:
Step 1: Add -3y to both sides
cy - 7 + -3y = 5d + 3y + -3y
= cy - 3y - 7 = 5d
Step 2: Now, add 7 on both sides
cy - 3y - 7 +7 = 5d +7
= cy - 3y = 5d +7
Step 3: Factor out y
y(c - 3) = 5d + 7
Step 4: Divide both sides by c-3
y(c - 3) / c - 3 = 5d+7 / c-3
Your answer for this should be
y = 5d + 7 / c - 3
Hope this helped!
#2 - Simplify the expression. Type your answer with all lowercase letters and no spaces. * 3h - e + 2h - 5e
Answer:
5h-6e
Step-by-step explanation:
3h - e + 2h - 5e =
= 3h + 2h - e - 5e
= 5h-6e
Answer:
5h - 4e
Step-by-step explanation:
Add 3h and 2h to get 5h then subtract e from 5e which equals 4e
Hope this helps!
.666 repeating as a fraction
please use equation
Answer:
2/3
Step-by-step explanation:
6/9 divide three on the numerator and denominator
It will give you 2/3
to check if its right
divide 2 with 3 and you will 0.666 repeating.
Which of these would not produce a representative sample that determines the favorite sport of the students at the local high school?
Answer:
The answer is ask ten students wearing football jersey each day for a week
Step-by-step explanation:
Answer:
it its the pizza one because people could be bias and that would not give a very acturate answer
Step-by-step explanation:
Adriana earned a gross income of $46,250 last year. She made $569.10 in IRA contributions, donated $841 to her favorite charity and paid $1,399.03 in home mortgage interest. If Adriana claims a standard deduction of $5,700 and her exemption is $3,650, what is her taxable income?
a.) $34,090.87
b.) $36,330.90
c.) $39,790.87
d.) $34,931.87
Answer:
B
Step-by-step explanation:
expand using pascal triangle (3x+2)^4
Answer:
The answer is
81x⁴ + 216x³ + 216x² + 94x + 16Step-by-step explanation:
(3x + 2)⁴
Using the Pascal's triangle
For an exponent of 4 we have
( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³
Using a = 3x and b = 2 we have
( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴
Expand and simplify
That's
➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16
➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16
We have the final answer as
81x⁴ + 216x³ + 216x² + 94x + 16Hope this helps you