Answers
Answer:
21.4
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2} \\13^{2} + 17^{2} = c^{2} \\169+ 289 = \sqrt{c^{2} } \\\sqrt{458} = \sqrt{c^{2} } \\21.4 = c[/tex]
[tex]\huge\bold{Given:}[/tex]
Length of the base "b" = 17 yd.
Length of the perpendicular "a" = 13 yd. [tex]\huge\bold{To\:find:}[/tex]
The length of the missing side, hypotenuse ("c").
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\boxed{C.\:21.4\:yd}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {c}^{2} \\ \\⇢ {c}^{2} = 169 \: {yd}^{2} + 289 \: {yd}^{2} \\ \\⇢c = \sqrt{458 \: {yd}^{2} } \\ \\⇢c = 21.40 \: yd[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"c"\:is\:21.4\:yd.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {21.4 \: {yd}^{2} }\\ \\ ⇝169 \: {yd}^{2} + 289 \: {yd}^{2} = 457.96 \: {yd}^{2} \\ \\⇝458 \: {yd}^{2} = \: 458\: {yd}^{2} \\\\⇝ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Related Questions
a rectangular lawn of dimensions 6x metres by x metres. In the centre is a rectangular flower bed of length (x + 4) m and width (x - 1) m. If the area of the shaded region is 40 m’, calculate the area of the flower bed.
Answers
Answer:
The area of flower bed is 8.96 m^2.
Step-by-step explanation:
Length of lawn = 6 x
width of lawn = x
length of flower bed = x + 4
width of flower bed = x - 1
Area of shaded region = 40 m^2
Area of the shaded region
6 x (x) - (x +4)(x -1) = 40
[tex]5 x^2 - 3 x - 36 = 0 \\\\x = \frac{-3\pm\sqrt{9 + 720}}{10}\\\\x = \frac{-3\pm 27}{10}=2.4 m, - 3 m[/tex]
As length cannot have negative value, so x = 2.4 m.
Area of flower bed = (x + 4)(x - 1) = (2.4 + 4)(2.4 - 1) = 8.96 m^2
the sum of 43.9 and 4 groups of a number
Answers
Answer:
10.975+10.975+10.975+10.975
Step-by-step explanation:
please help meeeeeeee
Answers
https://youtu.be/QnydfcNVJoQ
sypport my channel pls pls
channel name sabrina clodia
Answer:
x + y = 60
Step-by-step explanation:
[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]
Find the range and the interquartile range of the given data set.
2, 4, 7, 8, 16, 19, 21
Answers
In a certain arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?
Answers
Answer:
a₁₅₇ = 1,088
Step-by-step explanation:
aₙ = a₁ + d(n-1); where 'd' if common difference
a₁₅₇ = -4 + 7(156)
= -4 + 1092
= 1,088
Answer:
157 is the 24th term
Step-by-step explanation:
The formula for arithmetic sequences is an=a1+(n-1)d,
where an is the nth term, a1 is the first term, n is the term position, and d is the common difference
First, we need to find the common difference using the 10.
Since it's the third term, we have 10=-4+(3-1)d
Solving for d gives us d=7
Next, we need to find the term number of 157
Thus, we have 157=-4+(n-1)*7
Solving for n gives us n=24
We can check it like this: Following order of operations (i.e. PEMDAS) gives us 24-1=23*7=161-4=157
Move triangle ABC so it lies on top of triangle DEF, triangle GHI, and triangle JKL. How many units do you have to move triangle ABC from its original location to coincide with each of the other triangles? Specify how triangle ABC moves up, down, left, or right.
Answers
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the diagram of coordinates of the three triangles are not given.
A general explanation is as follows:
First, record the coordinates of the corresponding points of the three triangles.
For instance; In triangles ABC, DEF and GHI; A, D and G are corresponding points.
Now, assume the coordinates are:
[tex]A = (1,1)[/tex]
[tex]D = (1,5)[/tex]
[tex]G= (-2,1)[/tex]
Point D is 4 points to the right of A;
i.e.
[tex]D =(1,1+4) = (1,5)[/tex]
Hence, ABC will be moved 4 units right to lie on DEF
Similarly, point G is 3 units down of A
i.e.
[tex]G =(1-3,1) = (-2,1)[/tex]
Hence, ABC will be moved 3 units down to lie on GHI.
58:36
If Zöe orders a book from Store Y, how much tax will she pay?
Comparison of Online Bookstores
Store X
Store Y
Cost of book
$17.00
$18.00
Tax rate
6%
8%
Shipping
10% of cost before tax
FREE
$1.44
$2.25
O $12.25
O $14.40
Answers
Answer:
$1.44
Step-by-step explanation:
Tax is a compulsory sum levied by the government. it increases the price of the good
tax paid = tax rate x price of the book
18 x 8%
18 x 0.08 = $1.44
How can you determine whether a linear binomial is a factor of a polynomial without using the remainder theorem?
Answers
A linear binomial is a factor of a polynomial if the polynomial value is 0 at the zeros of the linear binomial
How to determine the factor?Assume a polynomial function is
P(x) = (x - 3)(x + 1)(x -2)
And a linear binomial is:
x - 3 = 0
We start by calculating the value of x in x - 3 = 0
x = 3
Next, we substitute x = 3 in P(x) = (x - 3)(x + 1)(x -2)
P(3) = (3 - 3)(3 + 1)(3 -2)
Evaluate
P(3) = 0
Since P(3) = 0, then the linear binomial x - 3 is a factor of P(x) = (x - 3)(x + 1)(x -2)
Read more about remainder theorem at:
https://brainly.com/question/13328536
#SPJ1
Alex bought 2 printer cartridges for $28 each and a printer for $85. He gave the cashier $150. How much change should Alex have received from the cashier?
Answers
Answer:
$9 in change
Step-by-step explanation:
Find the total cost of his purchases:
28 + 28 + 85
= 141
Find how much change he received by subtracting this from 150:
150 - 141
= 9
So, he should have received $9 in change
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Ahmed paid $34 000 for a car. His car decreased in value by 40% at the end of the first year. The value at the end of the second year was 10% less than the value at the end of the first year. . Calculate the value of Ahmed's car after 2 years .
Answers
40% of 34 000
40/100 * 34 000 = 13 600
subtract : 34000 - 13 600 = 20 400
Second step:10% of 20 400
10/100 * 20 400 = 2040
subtract : 20 400 - 2040 = $ 18 360
Final Answer = $ 18 360Write an equation that meets these criteria:
1. It has a solution of x=5.
2. It includes the numbers 3, 7, and 8, and at least
two different operations (addition, subtraction,
multiplication, and division.)
Answers
Answer:
3x = 7 + 8
Step-by-step explanation:
3x = 7 + 8
3x = 15
x = 3
Se desea construir un parque con forma de sector circular con un radio de 402 pies y un ángulo central de 45°. ¿Cuál será la superficie ocupada por dicho parque?
Answers
Answer:
63462 pies
Step-by-step explanation:
De la pregunta anterior, debemos encontrar el área del sector
La fórmula se da como:
θ / 360 × πr²
Dónde:
θ = 45 °
radio = 402 pies
Área del sector =
45/360 × π × 402²
= 63461.742399 pies
Aproximadamente el área de la ocupada por el parque = 63462 pies
Thank you everyone for helping me this year to get good grades I am giving points.
Answers
Michael has 2 hats, 3 shirts, and 8 pants. How many different ways can he wear the outfits if he wears one of each?
Answers
Answer:
2
Step-by-step explanation:
In 7 years, Tom will be half as old as Patty. Using P to represent Patty’s age now, write an expression for Tom’s age in 7 years.
Answers
Answer:
(P + 7) / 2 or 1/2(P+7)
Happy learning!
--Applepi101
which of these points lies on the circle with center (2 3) and radius 2
A. (4,3)
B. (3,4)
C. (-1,0)
D. (1,3)
Answers
Answer:
A. 4,3
Step-by-step explanation:
that's it thanks brainliest please
Answer:
A) (4,3)
Step-by-step explanation:
Helen draws a random circle
she then measures it diameter
Answers
Answer:
Lower Bound = 2.996
Upper bound = 3.244
Step-by-step explanation:
The breakdown of a sample of a chemical compound is represented by the function p(t) = 500 (0.25)^t, where p(t) represents the number of milligrams of the substance and t represents the time. In years. In the function p(t), explain what 0.25 and 500 represent.
Answers
Given:
The function is:
[tex]p(t)=500(0.25)^t[/tex]
Where p(t) represents the number of milligrams of the substance and t represents the time.
To find:
The correct explanation for the number 0.25 and 500 in the given function.
Solution:
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth/decay factor. If [tex]0<b<1[/tex], then decay factor and if [tex]b>1[/tex], then growth factor.
We have,
[tex]p(t)=500(0.25)^t[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=500[/tex], it means initial there are 500 milligrams of the substance.
[tex]b=0.25[/tex], this value is less than 1, it means the substance is decreasing by a factor of 0.25.
Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.
If 0(0,0), B(5,0) and C(5,5) are three points. Prove that
OB=OC.
Answers
Step-by-step explanation:
you must have written something wrong.
because given that information OB is not equal to OC.
but for example, OB = BC.
the distance of OB is (5,0) - (0,0) = (5-0,0-0) = (5,0) =
= sqrt(5² + 0²) = sqrt(25) = 5
the distance of OC is (5,5)-(0,0) = (5-0,5-0) = (5,5) =
= sqrt(5² + 5²) = sqrt(50) = 5×sqrt(2)
so, OB is NOT the same as OC.
but BC is (5,5)-(5,0) = (5-5,5-0) = (0,5) = sqrt(0² + 5²) =
= sqrt(25) = 5
30 square units is how much units ?
Answers
Answer: 30 units
:))
Here are the equations of two different graphs: y = x-7 and y = 3x - 7 Are the gradients of the graphs the same or different? Explain how you know.
help please
Answers
Answer:
this two graph is not same because they have different slopes for this they are not same
i need helppp helpp me pleaseeeee!!
Answers
Answer:
y = 6
Step-by-step explanation:
Answer:
i helped
Step-by-step explanation:
Find the area of this triangle.
Round to the nearest tenth.
7 m
125°
14 m
?] m2
Enter
Answers
Answer:
40.1
Step-by-step explanation:
i just did it and got it right
a straight line has equation y=5-3x
what is the gradient of the line?
Answers
Answer:
-3
Step-by-step explanation:
1. rearrange so it's in the formula y=mx+C
2. y=-3x+5
y=mx+C
M=gradient
-3=m
gradient= -3
A circle in the standard (x,y) coordinate plane has
center C(−1,2) and passes through A(2,6). Line
segment AB
___ is a diameter of this circle. What are the
coordinates of point B ?
Answers
Given:
Center of a circle is at point C(-1,2).
AB is the diameter of the circle.
Coordinates of the point A are A(2,6).
To find:
The coordinates of point B.
Solution:
Let the coordinates of point B are (a,b).
If AB is the diameter of the circle, then A and B are end points of diameter of the circle and the center C is the midpoint of AB.
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Point C = Midpoint of AB
[tex](-1,2)=\left(\dfrac{2+a}{2},\dfrac{6+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{2+a}{2}=-1[/tex]
[tex]2+a=-1\times 2[/tex]
[tex]a=-2-2[/tex]
[tex]a=-4[/tex]
Similarly,
[tex]\dfrac{6+b}{2}=2[/tex]
[tex]6+b=2\times 2[/tex]
[tex]b=4-6[/tex]
[tex]b=-2[/tex]
Therefore, the coordinates of point B are (-4,-2).
PLEASE I NEED THE ANSWER WITH THE EXPLANATION DON'T IGNORE MY QUESTION!!!
The
mean of six numbers is 12.five of the numbers
are 11,7,21,14 and 9. calculate the sixth number.
Answers
The answer is attached. I hope this helps answer your question!
Answer:
10
Step-by-step explanation:
data=11,7,21,14,9,x
mean=sum of data/no of data
12=11+7+21+14+9+x/6
12*6=62+x
72-62=x
10=x
therefore sixth number is 10.
what equation do I use to find the apothem?
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Step 1: Subtract 3 from both sides of the inequality.
Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.
What is the missing step in solving the inequality 5 – 8x < 2x + 3?
Answers
Answer:
I’m gay
Step-by-step explanation:
Answer:
Add 8x to both sides of the inequality.
Step-by-step explanation:
I got it right
Round 31.24 to 1 decimal place
Round 5.275 to 2 decimal place
Round 0.56489 to 3 decimal place
Answers
Answer:
1. 31.2
2. 5.28
3. 0.565
Step-by-step explanation:
Remember if the number is 1-4 round down and if the number is 5-9 round up.
Hope this is helpful
#happylearning
Jake has 12 sheep all but 9 die how many does he left ?
12
9
3
Answers
Answer:
Jake has 9 sheep left
Step-by-step explanation:
As the question says, Jake has 12 sheep and all but 9 die. This means that he has 9 sheep left.
Answer:
3
Step-by-step explanation:
Jake has 12 sheeps but 9 died
Jake loss 9 sheeps
Solution:
12-9
=3