The length of the leg of the triangle is BC = 7.5 cm
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
where ΔABC is a right triangle
Now , the measure of side AB = 13 cm
The measure of hypotenuse AC = 15 cm
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
On simplifying , we get
The measure of side BC = √ ( AC )² - ( AB )²
The measure of side BC = √ ( 15 )² - ( 13 )²
The measure of side BC = √ ( 225 - 169 )
The measure of side BC = √56
The measure of side BC = 7.483 cm
On rounding to the nearest tenth , we get
The measure of side BC = 7.5 cm
Hence , the base of the triangle is 7.5 cm
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help plzzzzzzzzzzzz
8 is 16% of what?
Complete the sentence
Answer:
50
Step-by-step explanation:
the answer is 50 becuz it is
Inscribed angles
Please help!!!!!!!! With explanation!!!!!
Answer:
a = 72° b = 88°
Step-by-step explanation:
We know in the cyclic quadrilateral opposite angles are supplementary so
a + 108° = 180° { being opposite angles of cyclic quadrilateral }
a = 180° - 108°
a = 72°
b + 92° = 180° { being opposite angles of cyclic quadrilateral }
b = 180° - 92°
b = 88°
Determine the dimensions of a rectangle whose area is 54 units2 and whose side lenghs are (x + 1) and (x – 2).
Answer-:
6 and 9
8 and 7
8 and -7
3 and 18
Can somebody help me please:(!
Step-by-step explanation:
the greatest number of people that can sit on Seven tables is 28 it's seven tables times before people I just couldn't find you to tell you quick enough all you had to do is multiply 7 of those tables by four people sorry I didn't get to you quick enough someone else did
area of a circle with a diameter of 63
That is a question about circle area.
To calculate the area of a circle, we multiplicate the constant pi ([tex]\pi \approx 3.14[/tex]) by the radius (of the circle) squared. The expression represents that is below:
[tex]\boxed{A_c = \pi \times r^2}[/tex]
In our problem, we don't know what is the circle raius, but we know the diameter. In a circle, the diameter is equal the double radius.
So, to know the radius of our circle, we divided the diameter by 2. Consequently, the raius of our circle is [tex]63 \div2 = 31.5[/tex].
Now, we should use the expression and we will find the area:
[tex]A_c = 3.14\times 31.5^2\\A_c = 3.14\times 31.5\times 31.5\\A_c =3.14\times 992.25\\A_c = 3115.665[/tex]
Therefore, the area of a circle with a diameter of 63 is approximately 3115.665.
I hope I've helped. :D
Enjoy your studies! \o/
it snowed 15% more in Big Bear than Arrow Head.If it snowed 50 inches in Arrow head, how many inches did it snow in Big Bear
A countertop is 15 feet long and 8 feet wide.
Part 1 out of 2
What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your
final answer to 2 decimal places.
The countertop is
square meters.
✓ Check
Next
Answer:
it will help you
Answer:
The countertop is 8.37 square meters
Step-by-step explanation:
Let
L ----> the length of the countertop
W ----> the width of the countertop
we know that
The area of rectangle (countertop) is equal to
we have
Remember that
To convert feet to meters multiply by 0.305
so
Find the area in square meters
Answer:
8.37
Step-by-step explanation:
hope this helps!
have a good day :)
In a fish tank, there are 9 bluefish and 7 redfish.
How many fewer redfish than bluefish are there?
Answer:
arkadaşlar bu şeyler
Türkçeye nasıl cevriliyor
Suppose f(x) = x2 and g(x) = Which statement best compares the graph of g(x) with the graph of f(x)?
Answer:
g(x) is horizontally stretched by a factor of 1/5
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
[tex]g(x) = (\frac{x}{5})^2[/tex]
Require
Determine the relationship between f(x) and g(x)
[tex]f(x) = x^2[/tex]
[tex]g(x) = (\frac{x}{5})^2[/tex]
Express g(x) in terms of f(x)
[tex]g(x)=f(\frac{x}{5})[/tex]
This can further be simplified as:
[tex]g(x)=f(\frac{1}{5}x)[/tex]
When a function is represented as:
[tex]g(x) = f(cx)[/tex]
Where c < 1,
Then the type of translation is a horizontal stretch (stretch in the x direction)
By comparison: [tex]g(x) = f(cx)[/tex] and [tex]g(x)=f(\frac{1}{5}x)[/tex]
[tex]c = \frac{1}{5}[/tex]
This means that: g(x) is horizontally stretched by a factor of 1/5
if an item I want is $199 and I have two coupon's which provides better value
A) $25
B) 25%
Answer:
B
Step-by-step explanation:
Answer: 25% off
Step-by-step explanation:
If you take of 25 dollars, the price will be $174. If you take of 25%, the price will be $149.25. I hope this answers the question correctly!
Which of the following are NOT solutions to the system of inequalities? x-y>-3, 4x+y≥ -1 Select all that apply.
A:(-2,0)
B:(5,4)
C:(-1,3)
D:(2,-2
Answer:
I think it is d. but im not sure
Step-by-step explanation:
Ms. McCarty cuts 1/3 of a piece of construction paper. She uses 1/5 of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?
Answer: 1 / 15 of the paper
Step-by-step explanation:
Ms. McCarty had 1/3 paper and then used a fifth of this to make a flower.
Find a fifth of 1/3.
= 1 / 3 * 1 / 5
= 1 / 15 of the paper
Write 10^4 as a product of the same factor
Answer:
1000?
10x10x10x10?
don't really get it, but prob the second one.
Answer:
100*100 or 100^2
Step-by-step explanation:
A soccer team uses 5-gallon coolers to hold water during games and practices. Each cooler holds 640 fluid ounces. The team has small cups that each hold 6.25 fluid ounces and large cups that each hold 8.75 fluid ounces. 1. The team fills c coolers for practice. During practice, the players pour s small cups and g large cups of water. Write an expression that represents the amount of water that remains in the coolers.
===============================================
Work Shown:
s = number of small cups
g = number of large cups
c = number of coolers
----------
1 cooler = 640 fluid ounces
c coolers = 640c fluid ounces
1 small cup = 6.25 fluid ounces
s small cups = 6.25s fluid ounces
1 large cup = 8.75 fluid ounces
g large cups = 8.75g fluid ounces
----------
T = total amount of water poured
T = (amount from small cups) + (amount from large cups)
T = 6.25s+8.75g
L = amount of water left
L = (original total amount of water) - (amount of water poured out)
L = 640c - T
L = 640c - (6.25s+8.75g)
L = 640c - 6.25s - 8.75g
Each pair of triangles is similar Find the value of x
Answer:
x = 7
Step-by-step explanation:
You need to figure which sides correspond and set up the proportions
Labeling the vertices of the triangles would help you.
I did that and found that 5x - 15 ↔ 10 since both of those sides are opposite the 42° angles and 36 ↔ 18
So [tex]\frac{5x - 15}{10} = \frac{36}{18\\}[/tex]
18(5x - 15) = 10(36)
90x - 270 = 360
90x = 630
x = 7
anyonee?
pleaseee help!!!!
Step-by-step explanation:
Given
sin³ø cos ø + cos³ø sinø
= sin ø cos ø ( sin²ø + cos²ø)
= sinø cosø * 1
= sinø cosø
Hope it will help :)
A camera has a listed price of $699.98 before tax. If the sales tax rate is 9.5, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
do both of them please
Answer:
$ 333
Step-by-step explanation:
a) 33 + m*1 = 33 + m
b) m = 300 miles
33 + m = 33 + 300
= $ 333
I need help pleas!
Complete the table for the given rule.
Rule: y is less than 2 times x
x y
2
3
4
(I need to know what y is)
What is the quotient of 3.201 x 109 and 4.85 x 103 expressed in scientific notation?
Answer:
=3.201x109
=4.85x103
Step-by-step explanation:
5(x + 1)=20
5x+1=20
????? ASAPPPP
Answer:
x=3
Step-by-step explanation:
5(x+1)=20
5x+5=20
-5 -5
5x=15
now just divide 5 from 15 which is 3 so x=3
when will I have to use factoring in real life
ANSWER:
dividing something into equal pieces, exchanging money, comparing prices, understanding time and making calculations during travel.
The orbit of a comet in a video game can be defined by the equation StartFraction (x minus 56) squared Over 150 EndFraction + StartFraction (y minus 28) squared Over 256 EndFraction = 1. Which of the following is true about the path of the comet on the screen? Check all that apply.
The major axis is horizontal.
The center is at (–56, –28).
The length of the major axis is 32 units.
The length of the minor axis is 150 units.
One of the foci is approximately .
Answer:
C, And E
Step-by-step explanation:
The following options is true about the path of the comet on the screen;
C.) The length of the major axis is 32 units.
E.) One of the foci is approximately.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable.
The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The orbit of a comet in a video game can be defined by the equation;
(x- 56)^2/150 + (y - 28)^2/256 = 1
The length of the major axis = 2a
= 2 x 16 = 32
The following is true about the path of the comet on the screen;
C.) The length of the major axis is 32 units.
E.) One of the foci is approximately.
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The swimming team has 48 members, 23 came to the swim meet. What percent of
the students came to the swim meet? Round to the nearest percent
Answer:
52%
Step-by-step explanation:
48-23=25
25÷48×100
≈52%
Roger factored a polynomial to determine that the zeros of the polynomial are located at
*=-5,=-2 and x = 3. Which of the following functions is the factored form of that
polynomial?
Answer:
2 is the factor of polynomial
(x+5)(x+2)(x-3) is the factored form of the polynomial with zeros x=-5, x=-2 and x=3
What is Polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division
The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.
zeros of the polynomial are located at
x=-5,x=-2 and x = 3.
The polynomial is of the form P(x)=(x-a)(x-b)(x-c)
Let a=-5, b=-2 and c=3
P(x)=(x-(-5))(x-(-2))(x-3)
P(x)=(x+5)(x+2)(x-3)
(x+5)(x+2)(x-3) is the factored form of the polynomial with zeros x=-5, x=-2 and x=3
Hence (x+5)(x+2)(x-3) is the factored form of the polynomial with zeros x=-5, x=-2 and x=3
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Consider the line y = -7x+9.
Find the equation of the line that is parallel to this line and passes through the point (6, -4).
Answer:
The answer is a(7x+9)
Step-by-step explanation:
What is the y-intercept of 2x - 6 = 24?
Answer:
-30
Step-by-step explanation:
-6-24
=-30
...........
The domain of a function is the set of all negative number. Which quadrant could the function be located in? Select two that apply .
Answer:
Quadrant 2 and Quadrant 3
Step-by-step explanation:
Given
Set of all negative numbers
Required
Determine the quadrant it falls
Domain implies that we list the possible x values.
There are 4 quadrants and the x values in each quadrant are:
First quadrant: x is positive
Second quadrant: x is negative
Third quadrant: x is negative
Fourth quadrant: x is positive
From the above lists, we can see that x is negative in the second and the third quadrants.
Complete the pairs of A's.
Ε
AECF SA
ACG
EAD
CDA
Please help me
Answer:
Pretty sure it would be EAD
Answer: EAD :)
Step-by-step explanation: