Answers
Answer:
12.1 cm
Step-by-step explanation:
We need to utilise Pythagoras theorem here. Pythagoras states that the 2 legs of the triangle square equal the hypotenuse squared so the formula for this is a² + b² = c²
In the question we are already presented with the hypotenuse so we will have to substitute in the values and rearrange
→ Form equation
7² + b² = 14²
→ Simplify
49 + b² = 196
→ Minus 49 from both to isolate b²
b² = 147
→ Square root both sides to isolate b
b = 12.12435565
The value of x to 1 decimal place is 12.1
Related Questions
Ben makes $39,600 a year. What is the maximum amount he can afford for a'
mortgage each month?
O
O
O
A. $890
B. $825
c. $850
D. $875
Answers
Answer: I feel that the answer might be B. $825 because I did calculate it but I lost my calculations so the answer is B but I just don't have the reason why sorry
The maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.
What is mortgage?The mortgage is a type of loan which is taken to purchase the home or lands.
In the given problem, Ben makes $39,600 a year. The rate of interset for the mortgage he has is 4. Thus, the amount he can afford for a'mortgage each year is,
[tex]M=\dfrac{39600}{4}\\M=9900[/tex]
There is total 12 months in one year. Thus, the maximum amount he can afford for a'mortgage each month is,
[tex]M=\dfrac{9900}{12}\\M=825[/tex]
Thus, the maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.
Learn more about the mortgage here;
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Find the total amount owed, to the nearest cent, for a simple interest loan with a principal of $2950, an interest rate of 7.4% and a time period of 1.5 years. Show
Answers
Answer:
A = $ 3,283.44
A = P + I where
P (principal) = $ 2,950.00
I (interest) = $ 333.44
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
The net of a prism is shown.
4 ft
5 ft
4 ft
5 ft
6 ft
3 ft 1
4 ft
5 ft
What is the surface area of the prism?
Answers
Answer:
Step-by-step explanation:
surface area=4×5+2×1/2×3×4+5×5+3×6
=20+12+25+18
=75
If f(x) = 2x - 3 and g(x) = x^2 + 3, what is f(x) - g(x)?
Answers
2x - 3 - x^2 + 3 Remove parentheses...
2x - 3 - x^2 - 3 Collect like terms and solve...
2x - 6 - x^2 Re-order terms...
ANSWER: -x^2 + 2x - 6
Answer:
the answer is -x^2 + 2x - 6
Step-by-step explanation:
Simplify 2x + x. What is the answer to this?
Answers
Answer:
3x
Step-by-step explanation:
2x+x = 3x
Answer:
3x
Step-by-step explanation:
2x + x.
Factor out the x
x(2+1)
x(3)
3x
PLZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Hakeem wants to be a professional basketball player. He is currently a junior and is taking physics. Mrs. Martin, his teacher, tells him that she can predict exactly when his three-point shot will return to the ground before Hakeem even takes the shot. Mrs. Martin tells Hakeem that the path of his ball can be modeled by the equation below, where t is the time in seconds after he throws the ball, and h is the height of the ball in feet. If Hakeem makes a three-point shot, how long will it take for his ball to return to the ground? (Round the time to the nearest second.)
A. The basketball will return to the ground 19 seconds after being shot.
B. The basketball will return to the ground 2 seconds after being shot.
C. The basketball will return to the ground -1 seconds after being shot.
D. The basketball will return to the ground 1 seconds after being shot.
Answers
Answer:
Answer is B
Step-by-step explanation:
C) -1 seconds is back into the past by 1 second, which makes it wrong
A) 19 seconds for a ball to be in the air? That's too long
D) 1 Second isn't enough for the ball to either go through the hoop or do anything unless he just let it go from the height of the hoop.
A group of 80 students in a collage are surveyed.They are asked which of Spanish or French they are studying.71of the students surveyed studies at least one of the two languages.
a)Complete the Venn diagram.
b)How many students study only french?
c)How many students study Spanish?
Answers
George is reading a book. At the end of 3 hours he has read 90 pages, and at the end of 5
hours he has read 238 pages. What is the average rate of change? Type your numerical
answer below.
Answers
Answer:
74 pages/hour
Step-by-step explanation:
The average rate of change is the difference in the numbers of pages divided by the difference in the numbers of hours.
At the end of 3 hours, 90 pages were read.
At he end of 5 hours, 238 pages were read.
Difference in hours: 5 hours - 3 hours = 2 hours.
Difference in pages: 238 pages - 90 pages = 148 pages
The average rate of change is the difference in pages divided by the difference in hours.
average rate of change = (148 pages)/(2 hours) = 74 pages/hour
answer please need help and is struggling
Answers
Answer:
q < 5
Step-by-step explanation:
Since there is an open circle it means there is no equal sign
The line goes to the left so it is less then q < 5
Answer:
q<5
Step-by-step explanation:
The sign is < because the arrow is point left and has an open circle. 5 because that is where the arrow starts.
Simplify the radical expression.
- V8n•2 12
Answers
The value of the radical expression is A = -3n√12
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = -√8n² ( 12 )
On simplifying , we get
A = -√108n²
Taking the value of n outside , we get
A = -n√108
On further simplification , we get
A = -n3√12
A = -3n√12
Hence , the value of the expression after simplification is A = -3n√12
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Elise says, "If you subtract 16 from my number and multiply the difference by - 7, the result is
-154” what is Elise’s number?
Answers
Answer:
-6
Explanation:
Elise's number is x.
If you subtract 16 from her number -> x-16
and multiply the difference by 7 -> 7(x-16) = -154
Elise's number is -154/7+16 = -6
Which of the following statements best describes adjacent angles?
Adjacent angles are vertical.
O Adjacent angles are supplementary.
Adjacent angles share interior points.
Adjacent angles share a side.
Answers
Answer:
(d) Adjacent angles share a side.
Step-by-step explanation:
Adjacent angles share a side and a vertex, but do not share any interior points. The appropriate choice is ...
Adjacent angles share a side.
Answer: D: Adjacent angles share a side
Step-by-step explanation: Hope that helped
answer options : 120, 60, 180 or 90
Answers
The following table shows the probability distribution for a discrete random
variable.
Х
11
14
16
19
21
23
24
29
P(X) 0.07 0.21
0.17 0.25 0.05 0.04 0.13 0.08
What is the mean of this discrete random variable? (That is, what is E(X), the
expected value of X?)
A. 19
B. 19.625
C. 20
D. 18.59
Answers
Answer:
Because the random variable X is discrete, the variance of X is defined as
var(X) =
where
p = values of probability as given in the table.
μ = 18.59
Calculate the array (x - μ).
x-μ = [-7.59 -4.59 -2.59 0.41 2.41 4.41 5.41 10.41]
Calculate the array (x-μ)².
(x- μ)² = [57.6081 21.0681 6.7081 0.1681 5.8081 19.4481 29.2681 108.3681]
Calculate the array p*(x-μ)².
p*(x- μ)² = [4.0326 4.4342 1.1404 0.042 0.2904 0.7779 3.8049 8.6694]
Calculate the variance of X.
var(X) = 23.182
Step-by-step explanation:
Answer: 23.18 (nearest hundredth)
Answer: 18.59
Step-by-step explanation:
A P E X
chris wxamines under his microscope. he finds that it is a cube with each side length 6 millimeters draw one square face of the crystal on the grid below
Answers
Answer:
Step-by-step explana
tion:
Ratatouille
which inequality is represented by this graph ?
Answers
Answer:
It's D.
Step-by-step explanation:
If it is a closed circle, it is greater/less than or equal to. If it goes right, it's greater than. If it goes left, it's less than.
Answer:
x≥ -53
Step-by-step explanation:
There is a closed circle at -53 which means equals and the line goes to the right which means greater than
x≥ -53
100 points, will give brainliest!
Suppose that in circle with center P, and a central angle, ∠OPQ, intersects minor arc OQ, where the measure of arc OQ = 82◦, and the measure of ∠OPQ is (5x – 3) ◦.
What is the value of x?
Thank you so much for helping!
Answers
Hope you are doing well
Answer:
x=17
Give the domain and range.
Answers
Answer:
Domain is {-2,0,2}
Range is {4,6,8}
Step-by-step explanation:
The domain is the input or x values
Domain is {-2,0,2}
The range is the output or y values
Range is {4,6,8}
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y-4 = -(x - 6) and passes through the point (-2, -2)?
o y = x - 10
0 y = x + 10
o y = 2 X-1
O y = x + 1
Answers
Answer:
I think it is c
Step-by-step explanation:
I just worked it out but I am not sure if I am 100% right.
hope this helped at all!!!
Answer:
y = 3/2x - 1
Step-by-step explanation:
Slope intercept form = y = mx + b
m = slope of the line = -2/3
y = -2/3x + b
Plug in (-2, -2) and the perpendicular line is
y = 3/2x - 1
You are welcome and don't for get to click THANKS
What is the value of X?
Answers
Answer:
45
Step-by-step explanation:
The two angles with measures are a linear pair and supplementary, so their measures add to 180 deg.
3x + x = 180
4x = 180
x = 45
____________________________________
Solution,
X°+3x°=180°( sum of angle in straight line)
or,4x°=180°
or,X=180/4
X=45
The right answer is 45
hope it helps
Good luck on your assignment
___________________________________
What is... 55.
One more?.......,,,
One less?.............
Ten more?...........,
Ten less?..............
Answers
Answer:
one more would be 56
one less would be 54
ten more would 65
ten less would be 45
Step-by-step explanation:
add one more to 55 to get 56
subtract one from 55 to get 54
add ten more to 55 to get 65
subtract ten from 55 to get 45
Which ordered pair is a solution to the system?
x>4
y≥2
A. (0, 0)
B. (–2, 7)
C. (5, 6)
D. (–4, –1)
Answers
Answer:
B
Step-by-step explanation:
Answer:
C. (5, 6)
Step-by-step explanation:
Got it correct on test :)))
Helpppppppp. Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has no oil and the test shows that it has oil? A. 0.09 B. 0.11 C. 0.36 D. 0.44
Answers
Answer:
Jason Inherit a land with a 45% chance of having oil.
Step-by-step explanation:
The probability of the land having oil is = P ( O) = 45 /100
The probability of the land having oil is= Q(O ) =55/100
The machine has an accuracy of 80%. This suggests that 8 out of 10 times the machine will give a wrong reading.
The probability of the correct reading is= P(M)=80/100
The probability of the incorrect reading is=Q(M)=20/100
The case when the machine predicts there is no oil and there is indeed oil can be calculated:Probability=Probability of oil present × probability of the incorrect reading
Probability=P(O) x Q(M)
Probability=45/100 x 20/100
Probability=9/100
The probability of the test predicting no oil in land and the land has oil is 0.09 or 9%
What is 4.5 x 10 to the power of -6 in standard notation?
Answers
Answer:
0.0000045
Step-by-step explanation:
Answer:
.0000045*10 6 power
Step-by-step explanation:
Move decimal point 6 spaces left *10
Somebody please help me please
Answers
Answer:
The correct sign is : <
Step-by-step explanation:
3.126 *10^2 is greater than 31260000*10^-9 by 312.56874
Answer: <
Step-by-step explanation:
10^-9 = .00000001
Multiply
31,260,000 * .00000001 = .3126 * 10^0 (1)
10^2 = 100
Multiply
3.126 * 100 = 312.6
.3126 * 10^0 < 3.126 * 10^2
The table below shows the survey results for six randomly selected frogs from a pond.
Gender Length, cm Weight, grams
F 8.5 22.7
F 7 19.3
M 9 25.2
M 6 18.1
F 8 22.1
M 11 23.6
F, female; M, male.
This data set contains
three variables, two of which are categorical
three variables, all of which are categorical
three variables, one of which is categorical
three variables, none of which are categorical
Answers
Answer:
This data set contains three variables, one of which is categorical
Step-by-step explanation:
The three variables are: Gender, Length and Weight
A categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values. In this example, the only categorical variable is Gender, because it can only take two possible values, female (F) or male (M). The other two variables are not categorical because they have to be measured, and their values are not fixed.
A circular Petri dish has a diameter of 10 centimeters. If the dish contains 2.450 bacteria, what is the
population density of bacteria in the dish?
(1) 31 bacteria per square centimeter
(2) 42 bacteria per square
centimeter
(3) 48 bacteria per square centimeter
(4) 51 bacteria per square centimeter
Answers
Answer: 31 bacteria per square centimiter.
Step-by-step explanation:
The correct number of bacteria in the question is 2,450.
Hi, to answer this question we have to apply the next formula:
Area of a circle = π x (diameter/2) ^2
Replacing with the values given:
A = π x (10/2) ^2
A = π x (5) ^2
A = π x 25 = 78.54 cm2
Next, we have to divide the number of bacteria (2,450) by the area of the dish
2450 / 78.54 = 31.19 = 31 bacteria per square centimiter.
Feel free to ask for more if needed or if you did not understand something.
Kelli wants to buy one pound of blueberries and several pounds of grapes. She has $15 to spend. Write an inequality to represent this situation. Then solve the inequality and graph the solutions. What do the solutions represent in the context of the problem?
Answers
Step-by-step explanation:
daddy want some more dior
Nichole bought a gift for her friend. She
placed the gift in a box with the length
of 10 inches, width of 5 inches, and
height of 2 inches. What is the surface
area of the box?
Answers
Answer:
10 by 5 =50
10 by 5=50
10 by 2=20
10 by 2=20
2 by 5=10
2 by 5=10
100+40+20=160
help me please <3 thank youu
Answers
Answer:
7,2,3
D
Step-by-step explanation:
