Answer:
420 unit^2.
Step-by-step explanation:
Use the formula area = √(s(s-a)(s-b)(s-c) where s = the semi-perimeter and ab and c are the 3 sides. (it is called Heron's Formula).
s = (29+29+42)/ 2
= 100/2
= 50.
Area = √50(50-29)(50-29(50-42)
= √176400
= 420.
The area of △ABC is 420 square units.
The formula for calculating Heron's formula is expressed as √(s(s-a)(s-b)(s-c)
where:
s = the semi-perimeter and abc are the 3 sides.Get the value of "s"
s = (29+29+42)/ 2
s = 100/2
s = 50.
Get the required area:
Area = √50(50-29)(50-29(50-42)
Area = √176400
Area = 420.
Hence the area of △ABC is 420 square units.
Learn more on area of triangle here: https://brainly.com/question/17335144
Parents sold 275 tickets for a fundraiser at the community center. Student tickets cost $3, and adult tickets cost $5. The total value of tickets sold is $1,025. Which system of equations represents the problem? 3x + y = 275 x + 5y = 1025 y = 275 3x + y = 1025 x + y = 275 3x + 5y = 1025 y = x + 275 x + y = 1025
Answer:
3x+5y=1025
x+y=275
Step-by-step explanation:
We can use system of equations to solve this problem. Let's use x for student tickets and y for adult tickets.
Equation 1
3x+5y=1025
This equation comes from the cost of tickets. Each child ticket costs $3 and each adult ticket costs $5. The total value of tickets sold is $1025.
Equation 2
x+y=275
The total amount of tickets sold was 275.
What is the y-intercept of the function f(x)=4 - 5x?
-5
-4
4
5
Answer:
b = 4
Step-by-step explanation:
Use the slope-intercept form y = m x + b to find the y-intercept b .
Answer:
C: 4
Step-by-step explanation:
PLZ HELP!! HURRY!!!30POINTS!!
Answer:
c. We use tan∅ to solve
d. x ≈ 45.64 ft
Step-by-step explanation:
Step 1: Draw out the picture
When we do so, we should be able to see that we are solving for the horizontal leg.
Step 2: Find the trig
tan78° = 214.7/x
xtan78° = 214.7
x = 214.7/tan78°
x = 45.6359
13/4-1=
2 1/4
1 1/2
2 1/2
1 1/4
Answer:
2 1/4
Step-by-step explanation:
13/4 is 3 1/4 because 13 divided by 4 is 3 with a remainder of 1. So from there you subtract 1 from the whole number 3 and are left with 2 1/4. I hope that makes sense! :)
Answer:
2 1/4
Step-by-step explanation:
13/4 = 3 1/4
1 = 1
3 - 1 = 2 1/4
Which expression is equivalent to −(4−3)?Which expression is equivalent to −(4−3)?
Answer: −22+3
Step-by-step explanation:
Answer:
−22+3
Step-by-step explanation:
you worked 6 and three fourths hours on Monday Seven and one fourth on Tuesday eight and one fourth on wendsey seven and one fourth on Thursday seven and three fourths on Friday how many hours did you work for the week
Answer:
37.25
Step-by-step explanation:
6.75+7.25+8.25+7.25+7.75=37.25
Pls Mark as Brainliest
the number 4,928 will be rounded to the nearest hundred. what is the rounding digit
Answer:
4928 rounded to the nearest hundred is:
4900
Step-by-step explanation:
Hope this hepls you!!
The number 4,928 will be rounded to the nearest hundred is 4900.
What is rounding off numbers?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.
Given to round off 4928 to the nearest 100
steps to round off,
Determine the two consecutive multiples of 100 that bracket 4928
4928 is between 4900 and 5000
4950 is the midpoint between 4900 and 5000
from the number line, 4928 is less than the midpoint 4950,
Therefore, 4928 rounded to the nearest 100 is 4900.
Hence the digit is 4900.
Learn more about rounding off numbers;
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Solve -8x+4 ≤ 36
A. x ≥ -4
B. x ≤ 4
C. x ≥ 4
D. x ≤ -4
Answer:
x≥-4
Step-by-step explanation:
-8x≤36-4
-8x≤32
x≥32/-8 when divide by minus you flip from≤ to ≥
x≥-4
Answer:
x ≥-4
Step-by-step explanation:
-8x+4 ≤ 36
Subtract 4 from each side
-8x+4-4 ≤ 36-4
-8x ≤ 32
Divide by -8 remembering to flip the inequality
-8x/-8 ≥ 32/-8
x ≥-4
These tables of value represent continuous functions. In which table do the values represent an exponential function?
Answer:
B.
Step-by-step explanation:
A goes up by 1
C goes up by 8
D goes up by 5
But B increments by 2x (2 times)
Answer:
B.
Step-by-step explanation:
A goes up by 1
C goes up by 8
D goes up by 5
But B increments by 2x (2 times)
Jana has £1500 in her bank account.
She has 270 euros of money left from her last holiday and
she wants to put this into her bank account.
The bank will convert the euros into pounds using £1 =
1.1452 euros.
The bank deducts a fee of £0.89 from her savings account
for this conversion.
How much money does Jana now have in her bank
account?
£99. semoga membantu maksih
Answer:
The answer is 99 dollars
Step-by-step explanation:
Not showing workout...
Just showing how
1) Multiply 1.1452 * 270
2) Multiply 0.89 * 270
3) Subtract the second step from the first step
Hope this helps....
Pls mark my ans as brainliest :)
Suppose f(x) = x2 and g(x)= (1/4x)2Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) shifted į units right.
B. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 4
C. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 4.
D. The graph of g(x) is the graph of f(x) horizontally stretched by a
factor of 4.
Answer:
B.
Step-by-step explanation:
Since the variable b is manipulated in f(x) = a(bx - h)² + k, we are dealing with horizontal compression and stretching. Since b < 1, that means the graph is being horizontally compressed.
a number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times. How does this frequency compare to the expected frequency based on the probability of the number cube landing on an even number?
Answer:
The frequency is 3 more than expected
Step-by-step explanation:
There are 3 favourable outcomes: {2, 4, 6}
There are 6 possible outcomes: {1, 2, 3, 4, 5, 6}
probability of the number cube landing on an even number = favourable outcomes / possible outcomes = 3/6 = 1/2
If the cube is rolled 30 times, it is expected that in 1/2*30 = 15 times landed on an even number. The frequency: 18 is 3 more than expected
If p(x) = x2 - 1 and 4(x) = 5(x-1), which expression is equivalent to (p - 9)(x)?
5(x - 1) - x2-1
(5x-1) -(x2-1)
(x2 - 1) - 5(x - 1)
(x2-1) - 5x-1
Answer:
x^2 - 10 = (p - 9)(x)
Step-by-step explanation:
Please indicate exponentiation with the symbol " ^ ": p(x) = x^2 - 1.
To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:
(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)
A factory can work its employees no more than 6 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve
the inequality to determine the range in hours if the work day is 6.5 hours. Show all of your
work.
Answer:
Step-by-step explanation:
Answer: A.) 2 <= X <= 6
B.) 13 < = X < = 39
Step-by-step explanation:
Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week
And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.
Let X represent the number of days an employee can work per week.
According to the first statement,
X < = 6
According to the second statement,
X >= 2
An inequality to represent the range of days an employee can work will be
2 < = X <= 6
To represent the range in hours, first convert the number of days to hour. Given that an employee can work
1 day = 6.5 hours
2 days = 2 × 6.5 = 13 hours
5 days = 6 × 6.5 = 39 hours
Therefore, the range will be
13 < = X < = 39
Evaluate the following expression when x = 6 and y = 2: Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator. 2.25 5.5 17.25 27.5
Answer:
Option B.
Step-by-step explanation:
The given expression is
[tex]\dfrac{x^2+y^3}{2+x}[/tex]
We need to find the value of given expression when x=6 and y=2.
Substitute x=6 and y=2 in the given expression.
[tex]\dfrac{x^2+y^3}{2+x}=\dfrac{(6)^2+(2)^3}{2+(6)}[/tex]
[tex]=\dfrac{36+8}{8}[/tex]
[tex]=\dfrac{44}{8}[/tex]
[tex]=5.5[/tex]
The value of given expression is 5.5 when x=6 and y=2.
Therefore, the correct option is B.
Answer:
he given expression is
We need to find the value of given expression when x=6 and y=2.
Substitute x=6 and y=2 in the given expression.
The value of given expression is 5.5 when x=6 and y=2.
Therefore, the correct option is B.
Step-by-step explanation:
A-29
B-81
C-87
D-93
Please someone help I don’t get this
Answer:
B-29...b-29...b-29...B-29... B-29
Help ASAP! Will name brainliest! Questions: Maximize the objective function P = 5x + 7y for the given constraints. x ≥ 0 y ≥ 0 2x + 3y ≤ 18 5x + 2y ≤ 23 Answers: 52, 43, 23, 30
Answer:
43
Step-by-step explanation:
Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form
Answer:
f(x) = (x - (-5))^2 + (-18)
Step-by-step explanation:
Given:
f(x) = x^2 + 10x + 7
Rewrite f(x) in vertex form
Solution:
f(x) = ax^2 + bx + c is a quadratic function.
The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.
=> f(x) = x^2 + 10x + 7
= x^2 + 10x + 25 - 18
= (x + 5)^ - 18
= (x - (-5))^2 + (-18)
=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18
find the sum of these polynomials (x^2-x+8) + (10x^2+7)
[tex](x {}^{2} - x + 8) + (10x {}^{2} + 7)[/tex]
[tex]10x {}^{4} - 10x {}^{3} + 87x {}^{2 } - 7x + 56[/tex]
to make it easier to explain you can say. Number 1 box is 57 number 2 box is77 something like that
Answer:
Box 1=5 Box2=6 Box3=8 Box4=200
Step-by-step explanation:
Answer:
Step-by-step explanation:
No.of balloons each will get = 5
no.of greeting cards = 6
no.of apples in each basket = 8
no. of words = 200words
hope it helps
Vanessa built an enclosed area in the shape of a square in her backyard for her dogs. She used an outside wall of the garage for one of the sides. She had to buy 3 yards of
fencing in order to build the other sides. What is the area of the enclosure?
Write each ratio in its simplest form.
A) 9 feet: 4 yards
B) 5 gallons : 8 quarts
C) 800 centimeters: 2 meters
Answer:
A. 4 yards = 12 ft
9 ft : 12 ft = 3:4
B. 5 gallons = 20 quarts
20 quarts : 8 quarts = 5:2
C. 2 meters = 200 cm
800 cm : 200 cm = 4:1
Answers:
A) 3:4
B) 5:2
C) 4:1
Step-by-step explanation:
Convert 4 yards to feet.
1 yard = 3 feet
4 yards = 12 feet
9 feet : 12 feet
Simplify the ratio.
9/3 : 12/3
3 feet : 4 feet
3 : 4
Convert 8 quarts to gallons.
1 quart = 0.25 gallons
8 quarts = 2 gallons
5 gallons : 2 gallons
5 : 2
Convert 2 meters into centimeters.
1 meter = 100 centimeters
2 meters = 200 centimeters
800 centimeters : 200 centimeters
Simplify the ratio.
4 : 1
Help! I'm trying to solve this for A and B, and it keeps telling me I'm wrong. The equation is:
√x(7x-4√x)=Ax^(3/2) + Bx
Where A =
and B =
Answer:
A must be 7 and B must be -4
Step-by-step explanation:
Perform the indicated multiplication, obtaining:
7x^(3/2) - 4x = Ax^(3/2) + Bx
Then A must be 7 and B must be -4
Find the equation of the exponential function represented by the table below:
HELLPPP
Answer:
y = 4 [tex](\frac{1}{2}) ^{x}[/tex]
Step-by-step explanation:
For an exponential function in the form
y = a [tex]b^{x}[/tex]
Use ordered pairs from the table to find values of a and b
Using (0, 4 ), then
4 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), thus
a = 4, so
y = 4 [tex]b^{x}[/tex]
Using (1, 2 ) , then
2 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )
b = [tex]\frac{1}{2}[/tex]
Thus exponential function is
y = 4 [tex](\frac{1}{2}) ^{x}[/tex]
Answer:
y = 4 (\frac{1}{2}) ^{x}
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 1/2in. The prism is filled with cubes that have edge lengths of 1/2 in. How many cubes are needed to fill the rectangular prism?
Hey there! :)
Answer:
432 cubes.
Step-by-step explanation:
Volume of rectangular prism: V = l × w × h
V = 9 × 4 × 1.5
V = 54 in³
Volume of cubes: V = s³
V = 1/2³
V = 1/8 in³
Set up an equation to solve for the # of cubes needed (x):
54 = 1/8x
Divide both sides by 1/8:
54 × 8/1 = x
x = 432 cubes.
Please help me with this question
Answer:
E.
Step-by-step explanation:
so first you would add 8 to both sides to get
3w = t + 8
then divide both sides by 3
w = (t + 8) / 3
So the answer is E.
Answer: E) w = (t+8)/3
Step-by-step explanation:
Solve for w in terms of t means you have to isolate w. Thus, simply do the following:
[tex]3w-8=t\\3w=t+8\\w=\frac{t+8}{3}[/tex]
Hope it helps <3
NY Newsstand has an annual payroll of $288,000. What is the FICA for NY
Newsstand?
A. $22,032
B. $76,500
C. $25,684
O D. $28,800
Answer:
It is A $288,000
Step-by-step explanation:
Answer:
A. $22,032
Step-by-step explanation:
FICA includes both social security tax (6.2%) and Medicare tax (1.45%), for a total tax rate of 7.65%.
0.0765 × $288,000 = $22,032 . . . FICA tax
Which of these sets of points lie within plane w?
A.
Cand G
B.
Hand E
C.
C and E
D
A and D
Answer:
option c boo if it's for plata
a) Change 2800 cm³ into litres.
b) Change 12.4/ into cm³.
Answer:
[tex]\huge\boxed{a)\ 2,800cm^3=2.8l}\\\boxed{b)\ 12.4l=12,400cm^3}[/tex]
Step-by-step explanation:
[tex]1l=1dm^3\\\\1dm=10cm\to1dm^3=(10cm)^3=1,000cm^3\\\\\text{therefore}\ 1l=1,000cm^3\to1cm^3=\dfrac{1}{1,000}l=0.001l\\\\a)\ 2,800cm^3=2,800\cdot0.001l=2.8l\\\\b)\ 12.4l=12.4\cdot1,000cm^3=12,400cm^3[/tex]
Answer:
a) 2.8 liters
b) 12400 cm³
Step-by-step explanation:
1 cm³ = 1 mL
1000 mL = 1 L
a)
2800 cm³ × (1 mL)/(1 cm³) × (1 L)/(1000 mL) = 2.8 L
b)
12.4 L × (1000 mL)/(1 L) × (1 cm³)/(1 mL) = 12400 cm³
I honestly don't know how to explain this further
Answer:
24
Step-by-step explanation:
divide 65/8 and then multiply that by 3 and round to the nearest whole number