ABC and ACD are both right-angled triangles.
D
a)
Explain why the length of AC
is 13 cm.
5 cm
C
5 cm
b)
Calculate the length of AD.
Give your answer correct
to 1 decimal place.
B
A
12 cm
Answers
Answer:
In the picture attached, the question is shown.
a) Applying Pythagorean theorem to triangle ABC, and solving for AC:
CB² + BA² = AC²
5² + 12² = AC²
√169 = AC
13 cm = AC
b) Applying Pythagorean theorem to triangle ACD, and solving for AD:
CD² + AC² = AD²
5² + 13² = AD²
√194 = AD
13.9 cm = AD
Related Questions
How do you write the circumference of the circle in terms on 几
Answers
____________________________________
Hey!!!
The formula to find circumference of circle
=2 pi r
For eg:
Radius=4 cm
Circumference of circle=2 pi r
=2 *pi*4
=8 pi
Hope it helps..
Good luck on your assignment
#Stay safe#
__________________________________
Given sin(−θ)=−16 and tanθ=−35√35.
What is the value of cosθ?
A) −35√6
B) −35√210
C) 35√6
D) 35√210
Answers
Answer:
D. -√35/6
Step-by-step explanation:
I do t o wish she sksnheisnmakakabs nsjd
Answers
Answer:
x=-12
Step-by-step explanation:
(-22 + 3x) /( 3x+7) =2
Multiply each side of the equation by 3x+7
-22+3x = 2(3x+7)
Then distribute
-22 +3x = 6x+14
Subtract 3x from each side
-22 = 3x+14
Subtract 14 from each side
-36 = 3x
Divide by 3
-12 =x
Maya is building a wooden box with a rectangular base that is 20 in and by 14 in tall. If she wants an open box without a top how much wood will Maya use?
Answers
Area of 5 faces = 280 x 5
= 1400 inches squared worth of wood
The formula for finding the surface area of a triangular prism is SA = 2 B + Ph . TrueFalse PLZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPP MMMMMMMMMMMMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEe
Answers
Answer:
The Surface Area = 2 B + p h. So True
Step-by-step explanation:
What is the area of the parallelogram?
A. 39. 20 cm2
B. 39.33 cm?
c. 56.58 cm2
D. 78.66 cm2
E. 93.48 cm2
Answers
Answer:
D
Step-by-step explanation:
A=bh
A=11.40*6.90
A=78.66 cm^2
Answer:
base x height = area
6.9 x 11.4 = 78.66
D. is the answer
Hope this helps
Step-by-step explanation:
A football is punted into the air. Its height h, in meters, after t seconds is given by the equation b) When will the ball reach a height of 30.4 meters?
Answers
Answer:
h = mt
Step-by-step explanation:
Representing postulates with diagrams
Answers
Answer:
the 3rd one
Step-by-step explanation:
Answer:
3rd one
Step-by-step explanation:
What is (-4,4) reflected on the x-axis
Answers
Answer:
(-4, -4)
Step-by-step explanation:
When reflecting coordinates onto x-axis, x sign doesn't change, y sign changes.
Answer:
(4,-4)
Step-by-step explanation:
That is the answer because it is like you are flipping the object so the opposite of -4 is 4 and the opposite of 4 is negative 4.
Write an exponential equation in the form y = abx whose graph passes through points (−3, 24) and (−2, 12). y = 3x y = 3(0.5)x y = 0.5(3)x y = −3(24)x
Answers
Answer:
Option B.
Step-by-step explanation:
The given exponential equation is
[tex]y=ab^x[/tex] ...(1)
It is given that the graph of above equation passes through points (−3, 24) and (−2, 12).
The graph passes through the point (-3,24), so substitute x=-3 and y=24 in equation (1).
[tex]24=ab^{-3}[/tex] ...(2)
The graph passes through the point (-2,12), so substitute x=-2 and y=12 in equation (1).
[tex]12=ab^{-2}[/tex] ...(3)
Divide equation (3) by equation (2).
[tex]\dfrac{12}{24}=\dfrac{ab^{-2}}{ab^{-3}}[/tex]
[tex]0.5=b[/tex]
Substitute b=0.5 in equation (2).
[tex]24=a(0.5)^{-3}[/tex]
[tex]24=\dfrac{a}{(0.5)^{3}}[/tex]
[tex]24=\dfrac{a}{0.125}[/tex]
[tex]24\times 0.125=a[/tex]
[tex]3=a[/tex]
Substitute a=3 and b=0.5 in equation (1).
[tex]y=3(0.5)^x[/tex]
Therefore, the correct option is B.
Please Answer Quick!!
Write 2 2/3 as an improper fraction. Then multiply the improper fraction by 1/4. Write the product as a reduced fraction.
Answers
Answer:
2 2/3 as an improper fraction is 8/3
8/3 × 1/4 = 2/3
Does (–2, 0) make the equation y = x true?
Answers
One year, a farmer harvested 50,000 bushels of wheat on her family farm.
Three years later, she harvested 12,000 more bushels of wheat from the
same fields. How much wheat did she harvest that year?
A. The change in the amount of wheat harvested
B. The amount of wheat harvested in the later year
C. The area of the farm
Answers
Answer: A hope it helps
i think its a
What value is a discontinuity of x squared plus 2 x plus 3, all over x squared minus x minus 12?
x = −1
x = −2
x = −3
x = −4
Answers
Answer:
x=-2
hope this helped
please help with this ! will give brainless
Answers
Answer:
x^13
2n^2x-5n^7
-6x^10-x
60s^7
6v^7
p^6
-4b^9/3
pls mark as brainliest if its right :)
Angie has a box that is 3/4 of a foot long What fraction is equal to the length, in feet, of the box?
A. 6/12
B. 8/12
C. 9/12
D. 11/12
EXPLAIN AS WELL WHY YOU PICK THAT ANSWER!
Answers
Answer:
C.
3 x 3 = 9
4 x 3 = 12
3/3 = 1 so it is equal
3/4 = 9/12
Step-by-step explanation:
7
What is the inverse of the statement below?
If a quadrilateral has four right angles, then it is a rectangle.
A.
If a quadrilateral is a rectangle, then it has four right angles.
OB.
If a quadrilateral does not have four right angles, then it is a rectangle.
OC.
If a quadrilateral does not have four right angles, then it is not a rectangle.
D.
If a quadrilateral is not a rectangle, then it does not have four right angles.
Answers
Answer:
a if a quadrilateral is a rectangle, then it has four right angles
Step-by-step explanation:
when you know a quadrilateral is a rectangle it has two short sides and two long sides and it has four right angles
Steven paid $52 in sales tax. The retail price of the item was $966. What is the sales tax percentage?
Answers
Answer:
5.38%
966/52 = 0.05383022774
Step-by-step explanation:
5.38 can also be 5.4%
As proved.
We can write this as 52>52.2
To find 52>52.49 we only have to divide it by the larger number.
52.49/966 = 0.05433747412
or multiply to check.
966 x 0.054 = 52.164 sales tax = 5.4% paid
966 x 0.053835 = 52.00461 = 5.38 % paid
Both these amounts or in-between would be sales tax percentage
But exact would be 5.38%
Answer:
5.383%
Step-by-step explanation:
To find what percent a part is of a number, divide the part by the number and multiply by 100%.
part = 52
number = 966
percent = 52/966 * 100% = 5.383%
Compare the values 0.25 and 2/9 using < >, or = MAKE SURE TO SHOW WORK!!
Answers
Answer:
0.25 > 2/9
Step-by-step explanation:
When you change 2/9 into a decimal, you get 0.22222222...
Therefor, 0.25 is greater than 2/9
What is the equation of the line that passes through the point (-7,-1) and has a slope of 1?
Answers
Answer:
Step-by-step explanation:
y + 1 = 1(x + 7)
y + 1 = x + 7
y = x + 6
What is the mean of this data set: 17, 13, 18, 20, 17, 15, 12
A. 19
B. 16
Answers
Answer:
16
Step-by-step explanation:
You first add all the numbers together,then you divide by 7 to get the mean of it
Answer:
16
Step-by-step explanation:
17, 13, 18, 20, 17, 15, 12
To find the mean, add up all the values and divide by the number of terms
(17+ 13+ 18+ 20+ 17+ 15+ 12)/7
112/7
16
An insurance company uses the formula T = 3.5n + 5 to work out the cost, T pounds, for insuring a customer for n days. Work out the cost for travel insurance for 4 days.
Answers
Answer:
19
Step-by-step explanation:
T=3.5n+5 -------- T= 3.5(4)+5
3.5*4 = 14 -------- T=14+5
T=19
The cost of travel insurance for 4 days is 19 currency units
The expression T = 3.5n + 5 shows the cost of insuring a customer for n days.
The question wants to know the cost of insuring a customer for 4 days. You should therefore replace the n in the expression with 4.
= 3.5n + 5
= 3.5 x 4 + 5
= 14 + 5
= 19 currency units
The cost of travel insurance for 4 days is therefore 19 currency units.
Find out more at https://brainly.com/question/16871646.
CN someone help me please
Answers
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is
h² = 3² + 7² = 9 + 49 = 58 ( take the square root of both sides )
h = [tex]\sqrt{58}[/tex] → B
Answer:
It's probably B
Step-by-step explanation:
you use the pythagorean theorm
a^2+b^2=c^2
3^2+7^2=c^2
9+49+=c^2
[tex]\sqrt{58}[/tex]=[tex]\sqrt{c^2}[/tex]
[tex]\sqrt{58}\\[/tex]=c
If Maria left a $10.16 tip on a breakfast that cost $86.89, approximately what percentage was the tip.
Answers
Answer:
11.6929451 %
Step-by-step explanation:
Take the amount of the tip over the total amount to find the percent left
10.16/86.89 =
.116929451
Multiply by 100 to put in percent form
11.6929451 %
Answer:
approx: 11.693%
Step-by-step explanation:
First divide the tip by the cost:
10.16/86.89
which =
0.11692945103
To get it to a percent we multiply by 100:
0.11692945103x100=
11.692945103
now all we need to do is add the percentage
11.692945103%
And it says approximately so that means round. A good place to round in a number as large as this is the thousandths place, so since the 9 next to the 2 is closer to 10 we make the 2 a 3 to fully complete the rounding.
= 11.693%
please mark brainliest and have a great day
How many complex zeros does y = x^5 have?
Answers
Answer:
no complex zeros.
Step-by-step explanation:
The given equation is
[tex]y=x^5[/tex]
To find the zeros equate y=0.
[tex]x^5=0[/tex]
We know that, if n>0, then
[tex]x^n=0\Rightarrow x=0[/tex]
So,
[tex]x^5=0\Rightarrow x=0[/tex]
It means zero or root of the given equation is 0 with multiplicity 5.
Therefore, the given equation have no complex zeros.
Which angles are acute?
А в
H
Check all that apply.
Answers
Answer:
The answer is A and D.
Step-by-step explanation:
Acute angles are angles that are less than 90°.
0° < θ < 90°.
So by looking at the diagram, any angles that are smaller than a L-shaped(90°) are all acute angle.
Help me on this last one
Answers
Answer:
The answer is A. [tex]g(x)=4x^2[/tex]
Diana and marie went out for lunch. Their Food and beverages cost $26.00 and there is an 8% meals tax. How much do they pay in total? Show your work.
Answers
$26.00 + $2.08
= $28.08
Deandre bought 4 CDs that were each the same price. Including sales tax, he paid a total of $69.20. Of that total,was $3.60 tax. What was the price of each CD before tax?
Answers
A worker bee has a mass of 1*10^-4. There are 4*10^4 worker bees living in one hive. What is the mass of all the worker bees in the hive together? Write your answer in scientific notation.
Answers
Answer:
[tex]4[/tex]
Step-by-step explanation:
[tex]1 \times 10^{-4} \times 4 \times 10^{4}[/tex]
[tex]4 \times 1 \times 10^{-4} \times 10^{4}[/tex]
[tex]4 \times 10^{-4+4}[/tex]
[tex]4 \times 10^{0}[/tex]
[tex]4[/tex]
Answer:
4 x 10^0
Step-by-step explanation: That is the correct answer on khan academy
