3. Find the length of the missing side given the information below.
A. 5
B. 25
C. 12.5
D. 157
Answers
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We apply the pythagorean theorem to find this answer.
a = 11 and b = 6 are the given legs
c = unknown hypotenuse
So,
a^2+b^2 = c^2
c = sqrt( a^2+b^2 )
c = sqrt( 11^2 + 6^2 )
c = sqrt( 121 + 36 )
c = sqrt( 157 )
c = 12.52996 approximately
c = 12.5
Side note: once you replace 'a' and b with 11 and 6, you can compute everything with a calculator in one single step more or less. The steps above are shown if you wanted to find the exact value sqrt(157).
Related Questions
Suppose that the width of a rectangular garden is (6 − 2√3) ft. And the length of the garden is (3 + √3) ft. (a) Find the area of the garden in simplest radical form. (2 points)
Answers
Answer:
A = 12 feet²
Step-by-step explanation:
Given that,
The width of a rectangular garden is (6 − 2√3) ft.
The length of the garden is (3 + √3) ft.
We need to find the area of the garden. The area of a rectangle is given by :
A = lb
Put all the values,
A = (6 − 2√3)(3 + √3)
A = 12 feet²
So, the area of the garden is equal to 12 feet².
8
Veronica is trying to prove 4ABC = ADEF.
B
E
A A
F
с
A А
D
Which statement would not help to prove the two
triangles congruent?
O A. ZC = ZF
O B. BC = EF
C. ZA ZD
. E
OD. DE = AB
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\triangle ABC = \triangle DE F[/tex]
Required
Which would not prove the similarity
[tex]\triangle ABC = \triangle DE F[/tex] implies that:
The following angles are congruent
[tex]\angle A = \angle D[/tex]
[tex]\angle B =\angle E[/tex]
[tex]\angle C =\angle F[/tex]
And the following lengths are congruent
[tex]AB = DE[/tex]
[tex]BC =EF[/tex]
[tex]CA = FD[/tex]
The options are not clear; so, it's a bit difficult to select the correct option.
Any of the options that is different from the above list of 6 congruent pairs is the answer to your question.
Simplify the following expression completely.
{x^2+11x+28}
{x^2+x-12}
wrote like division
Answers
Answer:
[tex] \frac{x + 7 }{x - 3} [/tex]
Step-by-step explanation:
First factorize both expressions
[tex] \frac{ {x }^{2} + 11x + 28 }{x { }^{2} + x - 12} \\ \frac{x {}^{2 } + 7x + 4x + 28 }{x { }^{2} + 4x - 3x - 12 } \\ \frac{x(x + 7) + 4(x + 7)}{x(x + 4) - 3(x + 4) } \\ \frac{(x + 7)(x + 4)}{(x + 4)(x - 3)} [/tex]
Now you can cross out x+4
and you'll be left with
[tex] \frac{x + 7}{x - 3} [/tex]
Look at the graph below.
Which point can you add to the graph to make this graph NOT A
FUNCTION?
(2,6)
(5.3)
(7.5)
(8,8)
Answers
Answer:
B. (5, 3)Step-by-step explanation:
Given points:
(3, 5), (5, 8), (9, 7)The graph should have a same x-value with a different y-value.
From the list we have only point (5, 3) which makes this a non-functional relationship.
Correct choice is B
Points here are
(3,5)(5,8)(9,7)As per definition of function
Every domain has a unique rangeCheck option B
If we put than
The. f(5) would have 2 values 8 and 3
Which won't be a function
Alexey wrote '1*2*3*... 9 = 21' on the board, inserting a plus or minus signs in place of each little star. Sasha changed some of these signs to their opposites so that the result he got was 20. Prove that one of the boys made a mistake.
Answers
10V
c
8
A'
B
6
D
с
4
2
А
В B.
х
o
2.
4
6
8
10
Fine the scale factor of the dilation.
Answers
Answer:
either 2 or 1/2, depending on what the original shape was
Step-by-step explanation:
going from small to large it is clearly visible that 3 units of side length turn into 6 units. so, the scaling factor is 2.
going from large to small it is clear that 6 units of side length turn into 3 units. so, the scaling factor is 1/2.
For the drawing, provide the missing lengths. x= hypotenuse y= leg
Answers
Answer:
Step-by-step explanation:
for hypotenuse
take 30 degree as reference angle
using sin rule
sin 30=opposite /hypotenuse
1/2=5/hypotenuse
10=hypotenuse
for base
using pythagors theorem
H^2=P^2+B^2
10^2=P^2+5^2
100-25=P^2
[tex]\sqrt{75}[/tex]=P
5[tex]\sqrt{3}[/tex]=P
Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.
Answers
Answer:
Step-by-step explanation:
principal=rs 9450
time=5 years
rate=6%
Interest=PTR/100
=9450*5*6/100
=283500/100
=rs 2835
Total amount=Interest+principal
=rs 2835+rs 9450
=rs12285
PLSSS
please help me get the answer and how to show my work
Answers
Answer:
Surface area of cubic box = 376 square inch
Step-by-step explanation:
Given:
Using net diagram
Length of cubic box = 10 inches
Width of cubic box = 6 inches
Height of cubic box = 8 inches
Find:
Surface area of cubic box
Computation:
Surface area of cuboid = 2[(lb) + (bh) + (hl)]
Surface area of cubic box = 2[(10)(6) + (6)(8) + (8)(10)]
Surface area of cubic box = 2[60 + 48 + 80]
Surface area of cubic box = 2[188]
Surface area of cubic box = 376 square inch
Help please I need help
Answers
Answer:
The range is 8.
Step-by-step explanation:
The range in a data set is the diffrence between the smallest and the largest number, in this case 1 and 9.
9 - 1 = 8
Have a nice day!
and tell me if I am wrong.
How many significant figures are in 0.0624000?
Answers
Answer:
Use notes and youll get an answer
Step-by-step explanation:
i will give brainliest
Answers
Answer:
A) 7p^5q^4
Step-by-step explanation:
to get 5pq² to equal 35p^6q^6 you must multiply by:
7p^5q^4 because you must add the exponents
Josh lit a 14 in candle. She noticed that it wad getting an inch shorter every 30 minutes. Write an equation in y=mx+b form to medel this situation. Let x be the number of hours and y be the total height of the candle
Answers
Answer:
y = -1/30x + 14
Step-by-step explanation:
Height (changing by -1) is the dependent variable, therefore is represented by y
Time (changing by +30) is the independent variable, therefore is represented by x
14 = where we started from
Slope = Change in y / Change in x
Slope = -1/30x
Equation = -1/30x + 14
Hope this helps!
Can a triangle have two 30° angles? two 60° angles? two 90° angles? Explain.
Answers
Answer:
Step-by-step explanation:
Two 30 - yes, 180 - 30 - 30 = 120. It is possible for 2 angles to be 30, the remaining angle would also be 120
Two 60 - yes, 180 - 60 - 60 = 60. It is possible for 2 angles to be 60, the remaining angle would also be 60
Two 90 - Not possible. The entire angles of a triangle have to equal 180, this would mean only 2 angles.
When Souta went to Sweden, 1 Swedish krona was worth about 0.12 US
dollar. He took d dollars on the trip. Which equation could be used to find
the value in Swedish krona, k, of the dollars?
PLS HELP ASAP
Answers
Answer:
k=0.12d
Step-by-step explanation:
BRIANLIST ANSWER!! Please help on this one question ( if you’re good at this) thanks :))
Answers
Answer:
Step-by-step explanation:
(21²+10²)½ = 23.25= 23.3
Anyone know this?I need help
Answers
Answer:
One of the legs is missing; the leg missing is 16 inches long
Step-by-step explanation:
Hypotenuse is usually the longest leg and you'll because it's directly across the biggest angle (the biggest angle is the right angle so Leg C would be the biggest leg).
20² - 12² = x²
400 - 144 = x
400 - 144 = 256
√256 = 16
Ginny paid $4.16 for a sandwich. She paid $0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?
Answers
Answer:
$5.01 moneyyyyyy lollll
Answer:
$5.11
Step-by-step explanation:
four friends contributed the sum of money to a charitable organization in the ratio 1:3:5:7. if the largest amount contrebuted is birr 35. calculate the total amount contributed by the four people
Answers
9514 1404 393
Answer:
birr 80
Step-by-step explanation:
The total number of ratio units is 1+3+5+7 = 16. The largest amount is represented by 7 ratio units, so is 7/16 of the total. The total contributed is ...
16/7 × (birr 35) = birr 80
NEED HELP ASAP
Solve the problem below.
(x - 5)² + 7y, if x = 144 and y = 16
Answers
Answer:
19433
Step-by-step explanation:
Substitute x = 144 and y = 16 into the expression
(144 - 5)² + 7(16)
= 139² + 112
= 19321 + 112
= 19433
----
Ethan and Sam work at different department stores. Ethan is paid 125$ per week and an 8% commission on sales, while Sam is paid 200$ per week and a 6% commission on sales. Enter the amount in dollars of sales for which they earn the same weekly income
Answers
Answer:
3750$
Step-by-step explanation:
Let x be the amount in dollars of sales:
125 + 0.08x = 200 + 0.06x (when Ethan and Sam earn the same weekly income)
0.02x = 75
x = 3750
PLEASSE HELP MEEE!!!!!!1
Answers
Answer:
2 cuts
Step-by-step explanation:
Get the height of the tree first
Using SOH CAH TOA identity;
Sin theta = opp/hyp
Sin 70 = /6
H = 6sin70
H = 6(0.9397)
H = 5.6381
Hence the height of the tree is 5.64m
Initial cut = 4m
Remaining height of trunk = 5.64 - 4 = 1.64
This means that he only need to make 2 cuts to cart the whole tree away
Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks. what linear eqution?
Answers
Let p = total pounds
Let w = number of weeks
248p - 2w= 10
Hope that helps :)
Answer each part below using only mental math, and describe your method. a. If 39 is 1% of a number, what is that number? How did you find your answer? b. If 39 is 10% of a number, what is that number? How did you find your answer? c. If 39 is 5% of a number, what is that number? How did you find your answer? d. If 39 is 15% of a number, what is that number? How did you find your answer?
Answers
Answer:
Step-by-step explanation:
Given: 39 = 0.01n
Move the decimal point on each side two places to the right: 3900 = n
ANSWER ASAP TEST IN ONLY 45 MINUTES
Simplify the expression. 5 + 5(x – 4) – 7x
a) 2x + 25
b) -2x - 25
c) -2x - 15
d) 2x + 15
Answers
Answer:
-2x-15
Step-by-step explanation:
Answer: C. -2x-15
Step-by-step explanation: 5 + 5(x – 4) – 7x
5(x-4)-7x+5
(5x-5×4)-7x+5
5x-20-7x+5
5x-7x-20+5
-2x-15
Quick plz help this is from Khan ( 40,90,X)
Answers
Answer:
Hello! answer: 45 degrees
Step-by-step explanation:
90 - 45 = 45 therefore x = 45 hope that helps!
Answer:
90 minus 45 equals 45 so x is 45 :)
What is the measure of o?
4 cm
e
12 cm
O A. 4 radians
O B. 3s radians
O c. 3 radians
O D. 4radians
plss helppp
Answers
==============================================
Work Shown:
L = arc length = 12 cmtheta = angle in radians = unknownr = radius = 4 cmL = theta*r
12 = theta*4
12/4 = theta
3 = theta
theta = 3 radians, choice C is the answer.
--------
Side note: The formula L = theta*r only works if theta is in radians.
If theta is in degrees, then use L = (theta/360)*2pi*r. So you can see that radian mode is much easier in this case.
Question 9 The spinner pictured is spun 100 times and lands in sector A 40 times. What is the experimental probability of the spinner landing on the sector labeled A? NEED ANSWER ASAP FOR A TEST
Answers
At a carnival, there are 30 children and 18 adults.
What fraction shows the ratio of children to the total number of people at the carnival
PLZ HELP
Answers
A question on my test:
Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0
Answers
Answer:
180degrees
Step-by-step explanation:
Given the expression cos^2x - cos x - 2 = 0
Let P = cos x
P^2 - P - 2 = 0
Factorize
P^2 - 2P + P - 2 =0
P(P-2)+1(P-2) = 0
P-2 = 0 and P + 1 = 0
P = 2 and P = -1
Since P = cos x
cos x = -1
x = arccos(-1)
x = 180degrees
Hence the require angle is 180degrees