Answer:
The length of the missing leg:
b = 8 milesStep-by-step explanation:
Given
c = 10 mia = 6 miTo determine:
The length of the leg b = ?
For a right-angled triangle, with sides a and b the hypotenuse c is defined as:
[tex]c=\sqrt{a^2+b^2}[/tex]
We can find the length of the leg b using the formula
[tex]b=\sqrt{c^2-a^2}[/tex]
substituting c = 10 and b = 6 in the formula
[tex]b=\sqrt{10^2-6^2}[/tex]
[tex]b=\sqrt{100-36}[/tex]
[tex]b=\sqrt{64}[/tex]
[tex]b=\sqrt{8^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]
[tex]b=8[/tex] mi
Therefore, the length of the missing leg:
b = 8 milesthe sum of 3\4 and 18\19 is close to?
Answer:
2
Step-by-step explanation:
I'm not sure if it right but my answer was that
3x-6=7x-3
3. 6
please help!!!!!!!
Answer:
B. -9
Step-by-step explanation:
3(-9)-6/3=-11
7(-9)-3/6=-11
Conray is 72 years old. He is three times his daughter's age. His daughter is three years younger than Nia.
How old is Nia?
1️⃣0️⃣‼ POINTS!!!
Answer: 27 I think
Step-by-step explanation:
72 divided by 3 plus 3
The age of Nia is given by the equation N = 27 years old
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 age of Nia be represented as N
Now , the equation will be
Let the age of Conray be C
The value of C = 72 years
And , Conray is three times his daughter's age
Let the age of Conray's daughter be D
The value of D = C / 3
Substituting the values in the equation , we get
The value of D = 72/3 = 24 years
And , Conray's daughter is three years younger than Nia
So , N = D + 3
Substituting the values in the equation , we get
N = 24 + 3
On simplifying the equation , we get
N = 27 years
Therefore , the value of N is 27 years
Hence , the age of Nia is 27 years
To learn more about equations click :
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Q) The distance between points A(2,1) and B(2,4) is ___ units.
Please help....
And thanks...
Answer:
3 or (0,3)
Step-by-step explanation:
I need help putting this into simplest form.
Answer:
1/x^2-2x-8
Step-by-step explanation:
Pls help it due ASAP.
Please show workings
It due in a hour....
Answer:
C. [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
In order to find the slope knowing two points, use the slope formula [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line intersects.
Knowing this, use the points (-4, -4) and (6, 4) for the formula. Substitute -4 for [tex]x_1[/tex], -4 for [tex]y_1[/tex], 6 for [tex]x_2[/tex], and 4 for [tex]y_2[/tex]. Then, simplify:
[tex]\frac{(4) - (-4)}{(6) - (-4)} \\= \frac{4+4}{6+4} \\= \frac{8}{10} \\= \frac{4}{5}[/tex]
Thus, [tex]\frac{4}{5}[/tex] is the slope of the line.
7x^2a+7xa^2
Find the greatest common factor
Answer:
GCF is 7xa
Step-by-step explanation:
Answer:
hCf is 7ax
plz refer to the picture
plz mark as brainliest
Students were asked to choose their favorite food.
If 4/10 the students chose pizza and 4/10 chose tacos,
what fraction chose either pizza or tacos?
Answer:
4/5
Step-by-step explanation:
Simply add the two fractions together
4/10 + 4/10 = 8/10
Then simplify
8/10 = 4/5
4/5 students chose either pizza or tacos
~And ~ again...~
A circular garden has a radius of 8 feet. What is the circumference of the garden?
simplify. enter the answer in the box. PLEASE I NEED IT ASAP
Answer:
21√7
Step-by-step explanation:
Yasmin purchased 6 heads of cabbage that each weighed 2 and StartFraction 3 over 8 EndFraction pounds. How much did the cabbage weigh all together?
Answer:
14 and 1/4
Step-by-step explanation:
So the equation would be-
6 x 2 and 3/8
I would break this up, so
6 x 2 = 12
6 x 3/8 = 18/8
Simplify
18/8 = 9/4 = 2 and 1/4
12 + 2 and 1/4 = 14 and 1/4
Answer:
14 and 1/4
Step-by-step explanation:
2. What is the equation of the line that passes through (4, -5) and (6, -9)?
What is the standard form of y + 2 =1/2(x - 4)?
Find the slope-intercept form of the equation
of the line that passes through (-1,5) and is parallel
to 4x + 2y = 8.
What is the equation of a line with a slope 7
and a y intercept of - 10?
Help me please........::.:::::::::::...:
I need the answer for -6p > 6
Answer:
p could be -2 or higher
Step-by-step explanation:
Answer:
p<−1
Step-by-step explanation:
-6 both sides
Is x=|y| with inputs x=1, x=2, and x=3 a function? Explain
Answer: This is not a function
======================================================
Explanation:
If x = 1, then,
x = |y|
1 = |y|
|y| = 1
y = plus/minus 1
y = 1 or y = -1
The input x = 1 leads to more than one output y = 1 and y = -1 at the same time.
Similar situations occur with x = 2 and x = 3.
This means we do not have a function. A function can only be possible if each input leads to exactly one output.
11. The price of a bottle of water at a store decreases from $1.65 to $1.40. Rounded to the nearest
tenth of a percent, what is the percent decrease in the price of the bottle of water?
A. 15.2%
B. 17.9%
C. 45.9%
D. 54.1%
Answer:
A. 15.2%
Step-by-step explanation:
Subtract the new price from the old one to find the dollar amount that the water bottle price was reduced.
[tex]1.65-1.40=0.25[/tex]
The price was reduced by 25 cents, but we need to find the percentage. To do that, we divide the price reduction by the original price.
[tex]0.25/1.65=0.152[/tex]
And then move the decimal place over two spots (multiply by 100)
15.2
Percent decrease in the price of the bottle of water is 15.2% (Approx.)
Given that;Older price of bottle = $1.65
New price of bottle = $1.40
Find:Percent decrease in the price of the bottle of water
Computation:Percent decrease in the price of the bottle of water = [(1.65 - 1.40) / 1.65]100
Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100
Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100
Percent decrease in the price of the bottle of water = 15.2% (Approx.)
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17. The sum of four consecutive integers is at most 100. Find the integers.
and solve.
Answer:
23,24,25,26
Step-by-step explanation:
X+(x+1)+(x+2)+(x+3)= 100
4x+6=100
4x=100-6
X=94/4
X=23.5
Ads the sum is said to be AT MOST 100 SO WE WILL ROUND DOWN THE NUMBER
So x=23
X+1=24
X+2=25
X+3=26
Sum=23+24+25+26=98
98<100 so answer is correct
The model includes a new park in the center of the city. If the dimensions of the
park in the model are 9 inches by 17 inches, what are the actual dimensions of the
park
The question is incomplete. Here is the complete question.
As a part of city building refurbishment project, architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.
The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?
Answer: 81 feet by 153 feet
Step-by-step explanation: Unit Scale is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.
In the refurbishment project, the unit scale is given by
1 inch = 9 feet
So, the dimensions of the new park in actual dimensions would be
1 inch = 9 feet
9 inches = x
x = 9.9
x = 81 feet
1 inch = 9 feet
17 inches = y
y = 17.9
y = 153 feet
The actual dimensions of the new park are 81 feet by 153 feet.
Help me out please please
Answer:
Answer D
Step-by-step explanation: I started from T, go from T to T'. Look at T, count 7 units to the right and that will be 7 positive. Then count 3 units down, which is -3. The translation would be (7,-3) or "D".
A store manager and stroke some new trainees that a book is priced at $21 winds up costing a customer $20.63 what does the tax is included which is the sale tax percentage
Answer:
1.76%
Step-by-step explanation:
Given
Original price of the book = $21
Price after sales percentage = $20.63
Discount = 21-20.63
Discount = $0.37
sale tax percentage = discount/original price × 100%
sale tax percentage = 0.37/21 × 100
sale tax percentage = 37/21
sale tax percentage = 1.76%
Hence the sale tax percentage is 1.76%
5/7-1/2= show work PLZZZZZZZZZZ HELPPPP
Answer:
3/14
Step-by-step explanation:
We need to line up the fractions. 5/7 on top, 1/2 on the bottom. We need to find common denominator so, 7 x 2 (denominators) gives us 14. 14 is now the denominator we will use. Solve for numerator: Starting at bottom fraction. 2 goes into 14 7 times, 7 times original numerator (1) 35. Theres your new numerator. Now, the top fraction: 7 goes into 14 2 times. 2 x original numerator (5) = 10. Now subtract both numerators (10 - 7 = 3) Plug in the denominator and your answer is: 3/14
Determine the value of x in the figure shown.
Hope it will help you..............
What is 18=j+4 plz help
Answer:
This is fairly simple, the answer is 14.
Step-by-step explanation:
To reach this answer, you need to do order of operations. so First get rid of the 4 by doing inverse operation 18-4=j+4-4, which gets you to 14=J, thus your answer.
Please help I need it fast
Answer:
J
Step-by-step explanation:
-11=4(-3)+1
-3 =4(-1)+1
1 =4(0)+1
9 =4(2)+1
13=4(3)+1
21=4(5)+1
f(x) = 4x + 3 for f(-8).
Answer:
-29
Step-by-step explanation:
plz brainliestt
Answer:
-29
Step-by-step explanation:
f(x) = 4x + 3
f(-8) = 4(-8) + 3
f(-8) = -32 + 3
f(-8) = -29
PLEASE HELP!
Priya is with her mother at the zoo’s gorilla exhibit. Priya is studying the chart displayed beside the gorilla exhibit, which shows the name and weight of each gorilla. Use the information in the chart to answer the questions in this activity.
Gorilla Weight Plugged into True or False?
5a + 8 = 318
(pounds)
Sophia 318
George 417
Nancy 310
Hank 136
Paula 62
Gavin 24
Part A
Priya’s favorite gorillas are a mother named Sophia and her baby. The zoo attendant said that Sophia weighs 8 pounds more than 5 times her baby’s weight. To determine the baby gorilla’s weight, Priya can use the equation 5a + 8 = 318, where a is the weight of the baby gorilla. Plug the weight of each gorilla into the equation to check which value makes the equation true.
Answer :
The value that makes the equation true is Paula 62
Step-by-step explanation:
Here, we want to plug the weight of each of the Gorilla to determine the weight that makes the equation true
all we have to do here is that in each of the cases, we substitute the value of a for the weight of each of the Gorilla
Sophia
a = 318
5a + 8
= 5(318) + 8
as we can see this is not equal to 318
George
For George, we substitute a for 417
That will be;
5(417) + 8
This is not 318
for Nancy
5(310) + 8
This is not equal to 318
for Hank
we have a as 136
5(136) + 8
This is not equal to 136
for Paula
5(62) + 8
= 310 + 8 = 318
we can see this is correct
for Gavin,
5(24) + 8
= 128 which is not equal to 318
The only equal value is that of Paula which is our answer
Answer:
Gorilla Weight
(pounds) Plugged into
5a + 8 = 318 True or False?
George 417
5(417) + 8 = 318
2,093 = 318
false
Nancy 310
5(310) + 8 = 318
1,558 = 318
false
Hank 136
5(136) + 8 = 318
688 = 318
false
Paula 62
5(62) + 8 = 318
318 = 318
true
Gavin 24
5(24) + 8 = 318
128 = 318
false
Step-by-step explanation:
please answer this 4 me , 50 points <3
Sasha says that she drew an acute isosceles triangle with side lengths of 6 cm,9 cm,and 12 cm and the angles are of 30 degree,50 degrees,and 100 degrees. Danielle says that not possible.Using sides and angles, who is correct. Most helpful gets the Brainliest.
Answer:
Danielle is correct. An isosceles triangle has two angles that are the same and one that's different.
Step-by-step explanation:
Tell me if it is wrong
I would appreciate a brainliest!
Have a nice day :D
Robert gets a loan from his bank.
He agrees to borrow £6000 at a fixed annual simple interest rate of 7%.
He also agrees to pay the loan back over a 10 year period.
How much money in total would he have paid back in 10 years?
Answer:
£10,200
Step-by-step explanation:
Simple interest = principal × rate × time
Principal = £6000
Rate = 7% = 0.07
Time = 10 years
Simple interest = principal × rate × time
= £6000 × 0.07 × 10
= £4,200
Total = simple interest + principal
= £4,200 + £6,000
= £10,200
He would have to pay back a total of £10,200 in 10 years
Consider this quadratic equation:
6x2+9x-10=0
Comparing it to the standard form, name a, b, and c
a-
b=
C=