Answers
Answer:
[tex]option \: b) \: \: \: 5 \sqrt{5} cm[/tex]
Step-by-step explanation:
Given,
Base of the triangle = 10
Hypotenuse of the triangle = 15
So, according to Pythagoras Theorem,
[tex] {c}^{2} - {a}^{2} = {b}^{2} [/tex]
[tex] {15}^{2} - {10}^{2} = {b}^{2} [/tex]
[tex]225 - 100 = {b}^{2} [/tex]
[tex]125 = {b}^{2} [/tex]
[tex]b = \sqrt{125} [/tex]
[tex]b = \sqrt{5 \times 5 \times 5} [/tex]
[tex]b = 5 \sqrt{5} cm \: (ans)[/tex]
Related Questions
Five less than 3 times a number b is greater than the opposite of 8.

Answers
Answer:
6 9 4 .....digsigsigishs
Explanation:
how to find the interest for a 2% interest rate loan of $3000 for 1 year, BUT instead of the 2% in the example, switch it to 3% interest on a $3500 loan.
Answers
Answer: See Explanation
Step-by-step explanation:
Simple interest is calculated as:
= principal × rate × time.
The interest for a 2% interest rate loan of $3000 for 1 year will be:
= principal × rate × time.
= $3000 × 2% × 1
= $3000 × 2/100 × 1
= $3000 × 0.02 × 1
= $60
The interest for a 3% interest rate loan of $3500 for 1 year will be:
= principal × rate × time.
= $3500 × 3% × 1
= $3500 × 3/100 × 1
= $3500 × 0.03 × 1
= $105
Select the statement that describes this expression: 32 ÷ 4 + ( fraction 1 over 2 x 16) − 2
Answers
Answer:
Step-by-step explanation:
32 ÷ 4 + ([tex]\frac{1}{2}*16) - 2[/tex] = 8 + (1*8) - 2
= 8 + 8 - 2
= 16 - 2
= 14
Answer:
The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2
Step-by-step explanation:
Sarah had 8 guests at her birthday party. She cut her round cake into 12 equal slices. 8 of the slices were eaten. What is the angle measure of the cake that was left?
Answers
Answer:120°
Step-by-step explanation:
Given
cake is cut into 12 equal pieces
We know the top view of cake is similar to circle .
So, if a circle is divided into 12 equal parts then
each part subtend an angle of
∅ = 360/12 = 30%
If 8 slices were eaten , then 4 slices are remaining
These 4 slices measure subtend equal angle at the center therefore
4 slice measure a total of 4 × ∅
➡️ 4 x 30°
➡️ 120°
How many tens are in the number 639
Answers
Answer:
63 tens are in 639 are in that number
Answer:
There are 63 full tens in 639.
Step-by-step explanation:
639÷10=63.9
Hope this helps! :)
In FGH, the measure of H=90°, HF = 91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.
Answers
Answer:
28.8 degrees (rounded)
Step-by-step explanation:
you need to use tan^-1 in order to find x. tan is opposite side / adjacent side.
so...
tan^-1[tex]^[/tex](50/91) = 28.78661831
Answer:
Its 29
Step-by-step explanation:
I did the detla math
I need help please?!!!!
Answers
Answer:
A
Step-by-step explanation:
the relationship between x and y is constant; 5/3
Answer:
the answer is A because x and y are constants
A serving of cereal is 2/3 cup. There are 12 cups in the box. How many
servings of cereal are in the box?
Answers
Answer:
A serving of a certain kind of cereal is 2/3 cup. There are 12 cups of cereal in the box. How many servings of cereal are in the box? There are 12/(2/3) = 12*(3/2) = 36/2 = 18 total servings.
Step-by-step explanation:
There are 18 servings of cereal in the box.
To find the number of servings of cereal in the box, we can divide the total number of cups in the box by the amount of cereal in each serving.
Given:
Serving size: 2/3 cup
Total cups in the box: 12 cups
To find the number of servings, we divide the total cups by the serving size:
12 cups ÷ (2/3 cup)
= 12 cups × (3/2)
= 36/2
= 18 servings
Therefore, there are 18 servings of cereal in the box.
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The graph shows your elevation during a bike ride. Which statement is true about your bike ride?
Answers
Answer:
You were running downhill for the first 15 minutes.
a bottle of apple juice has 12 servings if 13 friends split the juice equally how many servings does each person get
Answers
Answer:
Each friend will get 0.92 of a serving
Step-by-step explanation: 12 servings divided by 13 peple equals 0.923
Find the x and y intercepts for the following equation. 4x - 2y = 16
Answers
Answer:
( 4, 0 ) and ( 0,-8 )
Step-by-step explanation:
→ Rearrange into y = mx + c format
4x - 2y = 16
→ Minus 4x from both sides
-2y = -4x + 16
→ Divide everything by 2
-y = -2x + 8
→ Multiply everything by -1
y = 2x - 8
→ Substitute x = 0 to find the y-intercept and y = 0 to find the x intercept
x = 0 then y = -8 so ( 0,-8 )
y = 0 then x = 4 so ( 4, 0 )
A box has 70 cookies . 10% are broken (a) What fraction is broken ?
(b) What fraction remained whole?
Answers
Answer:
Step-by-step explanation:
70(10/100)=7 broken cookies.
7/70=1/10 is the fraction broken
(70-7)/70=63/70 is the fraction remaining whole
Answer:
(a) 1/7 are broken
(b) 6/7 remain whole
Step-by-step explanation:
70 is a nice number to deal with in terms of percentages and fractions. If 10% of the cookies are broken, do 10/70. That fraction simplified gets you 1/7. To find the remaining whole cookies. Do 7/7 - 1/7 = 6/7 (or if you already know that in your head that works too)
туре or Movie
Number or
Students
36
Horror
Drama
26
Comedy
30
Sci-Fi
28
Based on the data in the table, what is the probability that a random
Answers
Answer: 3/4, because the probability of renting a comedy is 1/4
================================================================
Explanation:
We have 36+26+30+28 = 120 students. 30 of which rented a comedy.
The probability of renting a comedy is 30/120 = (30*1)/(30*4) = 1/4
The probability of not renting a comedy is 1 - (1/4) = 4/4 - 1/4 = (4-1)/4 = 3/4.
Or you could say that 1/4 = 0.25, so 1-0.25 = 0.75 which converts to the fraction 3/4.
If you had 4 people and 1 of them rents a comedy, then the other 3 hasn't rented a comedy.
I am a fraction with a denominator of 7 and a whole numerator. I am greater than 2/5 and less than 1/2. What fraction am I?
Answers
Answer:
3/7
Hope that helps!
Step-by-step explanation:
9514 1404 393
Answer:
3/7
Step-by-step explanation:
As a fraction with a denominator of 7, the value 2/5 would have a numerator of ...
(2/5)(7) = 2.8
Similarly, the fraction 1/2 would have a numerator of ...
(1/2)(7) = 3.5
The only whole number between 2.8 and 3.5 is 3.
The fraction of interest is 3/7.
At Wendy's, 3 Baconators and 2 Frosty's cost $21.50. If 5 Baconator's and 1 Frosty cost $30, find the cost of one Baconator and one Frosty.
Answers
Answer:
1.00 would be the cost
Step-by-step explanation:
Julie is graduating from college. She has studied biology, chemistry, and computing and hopes to work as a forensic scientist applying her science background to crime investigation. Late one night, she thinks about some jobs she has applied for. Let A, B, and C be the events that Julie is offered a job by:
A = the Connecticut Office of the Chief Medical Examiner
B = the New Jersey Division of Criminal Justice
C = the federal Disaster Mortuary Operations Response Team
Julie writes down her personal probabilities for being offered these jobs:
P(A) = 0.6
P(B) = 0.5
P(C) = 0.3
P(A and B) = 0.2
P(A and C) = 0.1
P(B and C) = 0.1
P(A and B and C) = 0
1. Make a Venn diagram of the events A, B, and C. Mark the probabilities of every intersection involving these events and their complements. Use this diagram to answer the following.
2. If Julie is offered the federal job, what is the conditional probability that she is also offered the New Jersey job? (Round your answer to two decimal places.)
3. If Julie is offered the New Jersey job, what is the conditional probability that she is also offered the federal job? (Round your answer to two decimal places.)
Answers
Answer:
A and B
Step-by-step explanation:
1. The cost of a fish dinner for a restaurant is $7.95. If they sell it for $11.95, what is the percent markup?
Answers
Answer:
the answer will be
50.3144 %
5 times a number is 14 less than the square of that number. Find the negative solution.
Answers
Answer:
x=-2
Step-by-step explanation:
5x=x^2 - 14
x^2-5x-14=0
(x-7)(x+2)=0
x=7,-2
What is 56x1
Just a regular normal question from me
Your welcome in advance
Answers
Answer:
56
Step-by-step explanation:
Hope this helps
Answer:
56
Step-by-step explanation:
56×1=56
In a triangle with all sides equal, what is the degree measure of any of the
angles? Write one number. *
Answers
answer:
the degree measure would be 60°
60 + 60 + 60 = 180
therefore, 60 is the answer.
true or false. the cross section of a rectangular prism is a prism
Answers
Answer:
true
Step-by-step explanation:
Quadrilateral DEFG has vertices at D(3,4) E(8,6) F(9,9) G(4,7). Prove that DGEF is a parallelogram
Answers
Both pairs of opposite sides are parallel.
Both pairs of opposite sides are congruent.
Both pairs of opposite angles are congruent.
Diagonals bisect each other.
One angle is supplementary to both consecutive angles (same-side interior)
help plz plzplz plz dssfdasfadsfadsfadfadfdsfadsf ;(
Answers
Answer:I believe its b
Step-by-step explanation:
If a triangle has sides of 9 and 14, then the remaining side must be between and , with the smaller number listed first.
Answers
Answer:
I think the answer could be 11.5
Step-by-step explanation:
It's in the middle of both numbers
a=9
b=11.5
c=14
#KEEPONLEARNING
An angle measures 154º more than the measure of its supplementary angle. What is the
measure of each angle?
Answers
Answer:
167 & 13
Step-by-step explanation:
(180-154)/2=
26/2=13
154+13=167
0.4 divided by 2.3 plzz fast
Answers
Answer:
divided by 2.3 plzz fastdivided by 2.3 plzz fast
Step-by-step explanation:
divided by 2.3 plzz fast
divided by 2.3 plzz fastdivided by divided by 2.3 plzz fast plzz fast
Translate triangle HIK 4 units to the right and 1 unit up.
What are the coordinates of the vertices of the image?
A. H’(-10, 3), I’(-11, -6), and K’(-4, -7)
B. H’(6, 3), I’(-6, -11), and K’(-7, 5)
C. H’(10, 3), I’(11, -6), and K’(5, -7)
D. H’(-3, 10), I’(-6, 11), and K’(-7, -5)
Answers
Answer:
C. H'(10, 3 ), I(-11, -6), and K' (5, -7)
Step-by-step explanation:
Rigth on edge
It takes Naomi 4 minutes to run 5 laps. How long does it take her to run 30 laps? Use a table, double number line, tape diagram or another strategy to show your thinking.
(Please hurry I'm being timed)
Answers
Answer:
24 minutes
Step-by-step explanation:
5x6=30
4x6=24
URGENT!!!!
There are two missing numbers. Twice the first plus the second is equal to 15. Also, three
times the first minus the second equals 20. What are the two numbers?
Answers
Answer:
Write a system of equations
Step-by-step explanation:
2x + y = 15
3x - y = 20
5x = 35
x = 7
2(7) + y =15
y = 1
The two missing numbers are x = 7 and y = 1.Let's denote the first missing number as "x" and the second missing number as "y".
From the given information, we can form the following equations:
Equation 1: 2x + y = 15
Equation 2: 3x - y = 20
We can solve this system of equations by elimination or substitution method.
Let's use the elimination method:
Multiply Equation 1 by 3 and Equation 2 by 2 to eliminate the "y" term:
Equation 1: 6x + 3y = 45
Equation 2: 6x - 2y = 40
Subtract Equation 2 from Equation 1:
(6x + 3y) - (6x - 2y) = 45 - 40
Combine like terms:
6x + 3y - 6x + 2y = 5
Simplify:
5y = 5
Divide both sides by 5:
y = 1
Substitute the value of "y" into Equation 1:
2x + 1 = 15
Subtract 1 from both sides:
2x = 14
Divide both sides by 2:
x = 7
Therefore, the two missing numbers are x = 7 and y = 1.
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Which expression below is equivalent to the expression -3/4(-12x-20Y)
A. 9x+15y
B. 9x-15y
C. 9x-20y
D. 9x-20y
