Answers
Answer:
7
Step-by-step explanation:
apply the Pythagorean theorem
[tex]10 {}^{2} = ( \sqrt{51} ) {}^{2} + x {}^{2} \\ 100 = 51 + x {}^{2} \\ 100 - 51 = x {}^{2} \\ 49 = x {}^{2} \\ x = 7[/tex]
Related Questions
Find the length of the third side . If necessary , round to the nearest tenth .
Answers
Answer:
umm 9?
Step-by-step explanation:
Evaluate the following:
csc(theta)
25/7
sec(theta)
25/24
cot(theta)
24/7
Answers
CosФ=24/25
Sin Ф=7/25 CoseceФ=25/7
TanФ=7/24 cotФ=24/7
SecФ=25/24
If you wanted to make $1219 by investing $4206 of 10 years in an account that pays simple interest, what interest rate you would need to achieve your goal? rate(%):
Answers
Answer:
2.90 % rate
Step-by-step explanation:
Simple intrest (si) = $1219
Principal (p) = $4206
time (t) = 10yrs
rate (r) = ?
Now using formula,
r = ix100/p×t
r = 1219×100/4206×10
r = 2.90 ( in calculator it will show 2.898 if the third digit is more than 5 after the decimal in the second number 1 is added so it will be 2.90)
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
1 - 60
2 - 120
3 - 60
4 - 120
5 - 60
6 - 120
7 - 60
8 - 120
Step-by-step explanation:
Via supplementary angles, you can conclude that angle 5 is 60. Because of vertical angles, angle 8 is 120 and angle 7 is 60. Because of alternate exterior angles, angle 1 is congruent to angle 7 and angle 2 is congruent to angle 8, meaning angle 1 is 60 and angle 2 is 120. Because of vertical angles, angle 3 is 60 and angle 4 is 120.
Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-
Jordan elimination.
Sylvia invested a total of $27,000. She invested part of the money in a certificate of deposit (CD) that earns 3% simple
interest per year. She invested in a stock that returns the equivalent of 7% simple interest, and she invested in a bond fund
that returns 2%. She invested three times as much in the stock as she did in the CD, and earned a total of $1140 at the
end of 1 yr. How much principal did she put in each investment?
Answers
She invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.
DistributionsGiven that Sylvia invested a total of $27,000, and she invested part of the money in a certificate of deposit (CD) that earns 3% simple interest per year, she invested in a stock that returns the equivalent of 7% simple interest, and she invested in a bond fund that returns 2%, and she invested three times as much in the stock as she did in the CD, and earned a total of $1140 at the end of 1 yr, to determine how much principal did she put in each investment, the following calculation must be made:
9000 x 0.07 + 3000 x 0.03 + 15000 x 0.02 = 630 + 90 + 300 = 10209900 x 0.07 + 3300 x 0.03 + 13800 x 0.02 = 693 + 99 + 276 = 106812,000 x 0.07 + 4,000 x 0.03 + 11,000 x 0.02 = 840 + 120 + 220 = 1,18011400 x 0.07 + 3800 x 0.03 + 11800 x 0.02 = 798 + 114 + 236 = 114810800 x 0.07 + 3600 x 0.03 + 12600 x 0.02 = 756 + 108 + 252 = 111611160 x 0.07 + 3720 x 0.03 + 12120 x 0.02 = 781.2 + 111.6 + 242.4 = 1135.211190 x 0.07 + 3730 x 0.03 + 12080 x 0.02 = 783.3 + 111.9 + 241.6 = 1136.811250 x 0.07 + 3750 x 0.03 + 12000 x 0.02 = 787.5 + 112.5 + 240 = 1140Therefore, she invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.
Learn more about distribution in https://brainly.com/question/10250387
What is some Non examples of a logarithmic function?
Answers
Answer:
In other words, the only numbers you can plug into a log function are positive numbers. Negative numbers, and the number 0
Step-by-step explanation:
Answer: negative numbers and the number 0 are non logarithmic functions
Step-by-step explanation:
Sheila is 1.7 m tall her son is 109 cm tall how many meters taller is Sheila than her son
Answers
Answer:
61 cm or 0.61 m
Step-by-step explanation:
1. One meter is 100 cm, so you multiply 1.7 meters by 100 to get 170 cm.
2. Now that they are in the same units, to get their difference in height, you subtract Sheila's height from her son's (170 - 109) and get 61 cm.
3. Convert it back to meters by dividing by 100 and you get their difference in height in meters, 0.61 m.
Answer:
0.61
Step-by-step explanation:
One cenimeter is equivalent to 0.01 meter.
109cm • 0.01 = 1.09m
1.7m - 1.09m = 0.61m
Sheila is 0.61m taller than her son
The grades on a language midterm at Loyola are roughly symmetric with u = 69 and standard deviation = 4.0. Vanessa Scored 65 on the exam.
Answers
Answer:
the question can be understand but the question is not telling what to find
it is comfugen to answe're the question
What is the area of this figure?
Answers
Answer:
35 cm^2
Step-by-step explanation:
First find the area of a square by multiplying its side lengths together: 5 * 5 = 25 cm^2.
Now find the area of the triangle by multiplying the base by the height and dividing by 2: 4 * 5 / 2 = 10 cm^2.
Therefore the total area of the figure is 25 + 10 = 35 cm^2.
Regan operates an orange juice stand. On Monday she used 1/3 of a bag of oranges. On
Tuesday she used 2/5 as many oranges as on Monday. How many bags of oranges did Reg
use on Tuesday?
Write your answer as a fraction or as a whole or mixed number.
Please help meee
Answers
Answer:
0.825 bags of oranges
Step-by-step explanation:
1/3 is 0.33 and 2/5 is 0.4 so 0.33/0.4 is 0.825
solve the given equation state the number and type of roots x^2+x-12=0
Answers
Answer:
Step-by-step explanation:
x 1= 3 x 2=−4
jessica spent 20% of her money for snacks. She spent 25% of the remainder for school supplies. She has P30 left. How much money did Jessica start with?
Answers
Take away 20% and make p80 make make make make mark amesmamsksskmssjejsnebdss
14. During math class, Hallie created the following
riddle to ask her father at dinner.
I am thinking of a number such that 3 less than
twice that number is the additive inverse of 7.
What is the number?
Which inverse operations in the correct
sequence will solve the riddle?
A. Add 3; then multiply by 2.
B. Add 3; then divide by 2.
C. Multiply by 1/2;then subtract 3.
D. Multiply by 1/2;then divide by 3.
Answers
Answer:
A
Step-by-step explanation:
work backwards so do the opposite of what they told you
example: - you do +
multiply, you do divide etc etc
Suppose 3 and 8 are the only individual scores that can be made in a certain game. How many integer total scores are impossible to obtain?
Answers
Answer: 3
Step-by-step explanation:
3x8 = 24
24x2= 48!
8x12= 96!
Answers must be divisible by both numbers, and achievable by both inputs.
Hope This Helped
Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus
Answers
Answer:
r = 50 degrees.
Step-by-step explanation:
r = 50 degrees ( vertical angles are congruent).
Which two values of x are roots of the polynomial below?
x^2 + 5x + 7
A. x = 5
B. x = -5-√-3 /2
C. x = -5+√-3 /2
D. x = 1/2
E. x = 5+√17 /2
F. x = 5-√17 /2
Answers
Answer:
B. and C.
Step-by-step explanation:
1. Set the polynomial equal to zero:
x² + 5x + 7 = 0
2. Plug the given values of a, b, and c into the quadratic formula:
[tex]x=\frac{-5+-\sqrt{5^{2}-4(1)(7) } }{2(1)}[/tex]
3. Solve the square root:
[tex]x=\frac{-5+-\sqrt{25-4(1)(7)} }{2(1)}[/tex]
[tex]x=\frac{-5+-\sqrt{25-28} }{2(1)}[/tex]
[tex]x=\frac{-5+-\sqrt{-3} }{2(1)}[/tex]
4. Simplify the rest:
[tex]x=\frac{-5+-\sqrt{-3} }{2}[/tex]
5. Separate the solutions:
[tex]x=\frac{-5+\sqrt{-3} }{2} , x=\frac{-5-\sqrt{-3} }{2}[/tex]
Thus, options B and C are the answers.
hope this helps!
Mary spends 2 2/3 hours on math homework everyday. She also spends 3 1/3 hours on art homework. How much time does Mary spend in total working on math and art homework?
It has to be like an actual fraction. All I know is that 24 is the whole number. Use that to solve the problem.
Answers
Answer:
6 hours
Step-by-step explanation:
2 2/3 +3 1/3= 5+1=6
Answer:
2 2/3+ 3 1/3 = 6. Multiply 6 by 4 weeks. 24 as your whole number.
Step-by-step explanation:
hope this helps
If 43,560 square feet equals one acre, how many acres are in one square mile?
Answers
Answer: 640
Step-by-step explanation:
How many acres are there in 1 square mile? There are 640 acres in 1 square mile. To convert from square miles to acres, multiply your figure by 640 (or divide by 0.0015625) .
Answer:
640 acres²
Divide the area value by 68
[tex]43,560 / 68 = 640[/tex]
or
[tex]1~mile^2 * 640 = 640[/tex]
you multiply the area value by 640 for each square mile, since there is only one square mile, the answer is 640
A sweater is marked 30% off the original price. The original price was $37.50. What is the sale price of the sweater before sales tax?
(I will give brainliest if you show your work)!!
Answers
Answer:
$26.25
Step-by-step explanation:
To find the discounted price, subtract the discount amount from the original price. The amount of the discount is the product of the discount rate and the original price.
__
discounted price = original price - (original price) × (discount rate)
You can calculate it this way, or you can factor out the original price:
discounted price = (origina price) × (1 - discount rate)
= $37.50 × (1 -0.30) = $37.50 × 0.70 = $26.25
The sale price of the sweater is $26.25.
__
Additional comment
The amount of the discount is ...
$37.50 × 0.30 = $11.25
which makes the discounted price be ...
$37.50 -11.25 = $26.25
Work:
Our output value is 37.50.
We represent the unknown value with x
From step 1 above, $37.50=100%.
So, x=30%.
This results in a pair of simple equations:
$37.50=100%( 1). $x=30%(2).
By dividing equation 1 by equation 2 and noting that right hand side of both
equations have the same unit (%); we have
37.5 = 100%
—— ———
X. 30%
Again, the reciprocal of both sides gives
X. 30%
——. ————
37.5 = 100%
30% of 37.5 is 11.25
37.5- 11.25 is 26.25
Hopefully this makes sense
Write a propotion that can be used to convert 50 meters into kilometers. Then solve
Answers
Answer:
0.05km
Step-by-step explanation:
There are 1000 meters in a single kilometer. Using some dimensional analysis, we get set up the following expression:
[tex]\frac{50}{1} \frac{meters}{1}\frac{1}{1000} \frac{kilometers}{meters}[/tex]
The meters will cancel leaving the units of kilometers:
[tex]\frac{50}{1000} km=0.05km[/tex]
Amari pays $7,440 in taxes on his income of $46,500. What percentage of his income is going toward taxes???
Thank you so much!
Answers
Answer:
16 percent
Step-by-step explanation: 16 percent of 46500 is 7440
Pleas I need help this is so hard
Answers
Answer:
Equation:
C = 1.75x + 5 25
A 22-mile ride costs $43.75.
Step-by-step explanation:
Because there is a flat fee of 5.25, only the first two equations could possibly be correct.
Then check with the examples given. If a 7 mile ride costs 17.50, the second equation cannot possibly be right. 7 miles times over $5 per mile will cost more than $35 not even including the flat fee.
Check:
1.75(7) + 5.25 = 17.50
and
12(1.75) + 5.25 = 26.25
So, the correct equation is
C = 1.75x + 5.25
Next use this equation to find the cost of the 22 mile ride.
1.75(22) + 5.25
= 43.75
Which expression is equivalent to (2x^4y)^3?
Answers
Answer:
8x^{12}yx^{3}
Step-by-step explanation:
Simplify the expression.
Hopefully this helps you
- Matthew
Find the area of the shaded shape. Write the area in square units
Answers
Answer:
Area = 224 square yards
Step-by-step explanation:
Width = 3.5 squares
Length = 4 squares
Multiply to yards (x4)
Width = 14 square yards
Length = 16 square yards
Area = Width*Length
Area = 14 * 16
Area = 224 square yards
Ciera can swim 400 meters in 1 minute and 20 seconds. What is Ciera’s average rate in meters per second?
Answers
Answer:
5 meters per second.
Step-by-step explanation:
There are 60 seconds in 1 minute:
1 minute 20 seconds = 60 seconds + 20 seconds = 80 seconds.
Divide the amount of meters swam (400) with the total amount of seconds used (80) to get the average meters per second:
(400 meters)/(80 seconds) = 5 meters/second.
5 is your answer.
~
Answer:
5 MPS
Step-by-step explanation:
If Ciera can swin 400 meters in 1 minute and 20 seconds,
400 meters = 1 minute 20 seconds (1 1/3 minutes).
Divide both sides by 1 1/3.
400/ 1 1/3 = 300
Since it asks in seconds, divide by 60.
300/60=5
Rapunzal travels 27 miles per hour. How long does it take her to travel 3 miles. Nearest tenth
Answers
Answer:
6.4 minutes or 384 seconds
what did the sewer workers boss say to him when he went on vacation?
Answers
Answer:
Have a great tret
Step-by-step explanation:
I dont know what
is it
please answer correctly don't answer a link thanks. FUNDAMENTAL PRINCIPLE OF COUNTING.
Answers
The answer is [tex] {2}^{5} [/tex] or 32.
The best way to represent this is with a binary tree. Each split represents a choice, and each line represents a possible outcome. Choice #1 at the top of the tree has 2 possible outcomes. The second level repeats that process with 2 possible choices and 4 possible outcomes, this repeats for all 5 levels giving us 32 possible outcomes at the bottom.
2)There will be eight outcomes.
Sample space : {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
The sum of the two numbers is 40. One number is 3 times the other number. Find the 2 numbers
Answers
Answer:
10 and 30
Step-by-step explanation:
The sum of 10 and 30 is 40.
30 is three times ten (10 x 3 = 30).
hope this helps!
The answer is 10 and 30
10 times 3 is 30, meaning 10 will be the number times 3 they wanted. 10 + 30 is 40, therefore the answer is 10 and 30
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
17.51
Step-by-step explanation:
this is a right triangle, so sohcahtoa applies
we want x
relative to the angle, x is opposite of it and 25 is adjacent to it (the hypotenuse is the other side)
the formula that combines opposite and adjacent is tan
tanθ = opposite/adjacent
tan(35°) = x/25
multiply both sides by 25 to isolate x
tan(35°) * 25 = x
x ≈ 17.51