Answer:
Option D is correct
Step-by-step explanation:
First, let's find side BC by using Pythagoras theorem.
Given:
Hypotenuse = 9 unitsSide 1: 7.8 unitsSide 2: BC=> 9² = 7.8² + x²
=> 81 = 60.84 + BC²
=> BC² = 20.16
=> √BC² = √20.16
=> BC = √20.16
=> BC = 4.48998886413 (Using calculator)
=> BC ≈ 4.49 (Estimated)
Therefore, side BC ≈ 4.49 units. Now, let's find the area by using hero's formula.
=> 1/2(Perimeter) = S
=> Perimeter: Hypotenuse + Side 1 + Side 2
=> 7.8 + 9 + 4.49
=> 21.29 = Perimeter
=> 1/2(21.29) = S
=> 10.645 = S
=> √s(s - a)(s - b)(s - c) = Area of triangle
=> √10.645(10.645 - 9)(10.645 - 4.49)(10.645 - 7.8)
=> √10.645(1.645)(6.155)(2.845)
=> √10.645 x 1.645 x 6.155 x 2.845
=> √306.635120999 (Using calculator)
=> √306.64 (Estimated)
=> 17.5111393119 (Using Calculator)
=> 17.51 units² (Estimated)
We can see that option D is the closest option. Therefore, Option D is correct.
If Option D was incorrect, then my second opinion is A.
If both are wrong, I deeply apologize for the inconvenience caused by me. Hoped this helped.
Answer:
answer is d) 18.6
Step-by-step explanation:
area = 1/2ab sin ∅
a= 9
b = 7.8
so it's
1/2 ×7.8 × 9 sin 32
use your calculator to get 18.600 unit squared
*we can also use the heroes formula*...
Replace * with a monomial in such a way, that the trinomial becomes a perfect
square.
*+12x+1
Answer: 36x^2
Step-by-step explanation:
Hi! I usually hate to use links, but I actually just answered this same question for someone else. I would copy and paste, but my copy and paste is screwing up the format making it super hard to read. I'm attaching the link instead. Hope this helps!
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Yuki bought a pound of confetti for \$12$12dollar sign, 12. What is the price, in dollars, per ounce of confetti
need help in a math question
Answer:
- [tex]\frac{7}{6}[/tex]
Step-by-step explanation:
I hope this helps
What coordinates should she assign to the top-right vertex if the rectangle?
need answer quickly plzxzz
Answer:
Scalene Right
Step-by-step explanation:
Has a right angle and all sides are of different lengths
Find the equation of the line passing through the points (0,7) and (5,-3).
Answer:
y = - 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )
m = [tex]\frac{-3-7}{5-0}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 2x + 7 ← equation of line
12 cm
5 cm
4 cm
15 cm
The area of the trapezium shown
above is
Answer:
120cm
Step-by-step explanation:
hope it helps pls mark brainliest
120cm² is the area of the trapezium. The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium.
What is trapezium?A trapezium is indeed a quadrilateral having four straight sides, four corners, and one pair of opposing sides that are parallel to the other pair and the other pair that are not1,2,3,4,5. Bases refers to the parallel sides, whereas Legs 1, 2, 3, and 4 refer to the non-parallel sides.
The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium4. The Trapezium is one of the most popular shapes; when drawn on paper, it creates a two-dimensional shape that resembles a table. A water glass, a lighting fixture, a flower pot, or boats are examples of items that have a trapezium shape.
Area of trapezium =1/2×(sum of parallel sides)×height
= 1/2×(5+4)×12
= 120cm²
Therefore, 120cm² is the area of the trapezium.
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Your question is incomplete but most probably your full question was,
The area of the trapezium shown below is
Help is needed for both of these. Please and thank u!
Answer:
1. x = 15° | y = 120°2. x = 4.5 | y = 60°Step-by-step explanation:
1. 4x° + 4x° + 4x° = 180° ( The sum of all interior angles of any triangle is equal to 180° )
[tex]4x + 4x + 4x = 180 \\ 12x = 180 \\ x = \frac{180}{12} \\ x = {15}^{o} \\ [/tex]
4x° + 4x° = y° ( An exterior angle of a triangle is equal to the sum of its two interior opposite angles. )
[tex]4x + 4x = y \\ 4(15) + 4(15) = y \\ 60 + 60 = y \\ {120}^{o} = y[/tex]
2. y° + 60° + 60° = 180° ( The sum of all interior angles of any triangle is equal to 180° )
[tex]y + 60 + 60 = 180 \\ y + 120 = 180 \\ y = 180 - 120 \\ y = {60}^{o} \\ [/tex]
All three internal angles are also congruent to each other and are each 60°. Therefore this is a equilateral triangle.
Perimeter = 4x + 4x + 4x ( An equilateral triangle is a triangle with all three sides of equal length. )
[tex]54 = 4x + 4x + 4x \\ 54 = 12x \\ \frac{54}{12} = x \\ x = 4.5[/tex]
Plot the points of the transformation Ry−axis (FGHIJ).
I will give brainliest!
Step-by-step explanation:
The y-axis reflection line will be horizontal. Take each plotted point and make it an equal distance from the y-axis (0, The reflection line will match the x-axis) you will then have the reflection.
please i beg on my knees i will give brainlist!!!!!!!!!!!
Answer:
i think it's letter c. f (n) = 4n-1
Step-by-step explanation:
1x4= 4, 2x4= 8, 3x4= 16, and so on
hope this helps!! :))
Josh makes a fruit salad with bananas, blueberries, and strawberries. He uses 234 pounds of bananas, 112 pounds of blueberries, and some strawberries. The fruit salad weighs 618 pounds. How many pounds of strawberries does Josh use?
Answer:
234+112=346
618-346=272
Josh used 272 pounds of strawberries in his fruit salad.
Step-by-step explanation:
Answer:
272
Step-by-step explanation:
Please plot the resulting points.
Answer:
See explanation
Step-by-step explanation:
When you reflect across the y axis the numbers stay the same but the x coordinates become negative.
So the new coordinates are:
F(-4, 6)
G (-9, 6)
H (-7, 1)
I (-4, 0)
J (-1, 3)
Rebah and her twin brother are planning a birthday party at Pizza Pete's. There is a S64.75 charge to reserve a party room plus $4.95 per person charge for lunch
Explain how to find the greatest number of people that can attend the party for $175.00. Show your work, and state the number of people.
QUICKKK PLZZ
Answer:
22 people
Step-by-step explanation:
Step 1: I first subtracted $64.75 from $175.00 so that I knew how much would be leftover after the charge of the room, because you can't count that cost. When I did this, I got $110.25. So then I knew how much was paid other then for the room.
Step 2: I then divided $110.25 by $4.95, so I would get the amount of people who went to the party, since each person costs $4.95. When I divided, I got 22.
So that would be my answer. I hope that helps. :)
The ratio of girls to boys who like sports is 5 to 8 at GW Middle School. There are 100 girls at GW Middle School. What is the total number of students who like sports at GW Middle School?
Answer:
260 students like sports
Step-by-step explanation:
100÷5=20x8=160+100=260
Select the correct answer from each drop-down menu.
Consider this expression.
9/4x2 - 12x + 7x/x^2 - 9
The least common denominator of the two rational terms is ( )( )( )
The answer is in the image attached. I hope it is helpful.
The least common denominator of two given rational expression are 4x, (x-3) and (x+3).
What is the least common denominator of two rational terms?
The factored denominator of two rational terms are called least common denominator of two rational numbers.
How to find the least common denominator of two rational terms?To find the least common denominator of two rational terms, we factor the expression and multiply all the distinct factors.
According to the given question
We have two rational expressions
[tex]\frac{9}{4x^{2} -12x}[/tex] and [tex]\frac{7x}{x^{2} -9}[/tex]
Now let's factorize the denominators
[tex]4x^{2} -12x =4x(x-3)[/tex]
and, [tex]x^{2} -9=(x+3)(x-3)[/tex]
Therefore,
[tex]\frac{9}{4x^{2} -12x}+\frac{7x}{x^{2} -9}[/tex]
⇒[tex]\frac{9}{4x(x-3)} +\frac{7x}{(x-3)(x+3)}[/tex]
⇒[tex]\frac{9(x+3)+7x(4x)}{4x(x-3)(x+3)}[/tex]
Therefore, the least common denominator of two given rational expression are 4x, (x-3) and (x+3).
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i will give you brainiest if correct
Which situation can be represented by the inequality?
x<90
A. There are 90 children at summer camp.
B. Betty is over the age of 90.
C. A kiddie pool holds under 90 liters of water.
D. A refrigerator weighs more than 90 kilograms.
Answer:
c
Step-by-step explanation:
At a local amusement park, 70% of the rides are made for kids who are 48 inches and taller. If there are 80 rides in total, how many are made for kids who are 48 inches and taller?
Answer:
56
Step-by-step explanation:
Basically you want to find out what is 70% of 80.
first you have to set up your problem
[tex]\frac{n}{80}[/tex] = [tex]\frac{70}{100}[/tex]
the first fraction would be the percent (70) over 100. (you always use 100)
The fraction to the left would be n over 80. the denominator (the number on the bottom) would be the whole amount. n would be the unknown number
To solve you would use the butterfly method. 80 x 70 and 100 x n. 80 x 70 is 5600 and 100 x n is 100n.
The final step is dividing. 5600 divided by 100 giving you 56
Morgan says that the absolute value of -8 is greater than the absolute value of 7. Do you agree with Morgan? Explain.
Answer:
Yes I agree with Morgan
Step-by-step explanation:
The absolute value of a number is its positive distance from 0. Therefore, -8 is 8 units away from 0 while 7 is 7 units away from 0. Since 8>7, then Morgan is correct in his statement.
i need help on this assignment
Answer:
45 degrees
Step-by-step explanation:
Need A Ride Driving company charges a $1.50 flat rate in addition to $0.50 per mile for a car ride. Kathy has exactly $20.00 to spend on a car ride. The following equation represents this information: 1.50 + 0.50m = 20
The miles Kathy can ride is 37 miles.
Given this equation, 1.50 + 0.50m = 20, in order to determine the miles Kathy can ride, the following steps would be taken:
Combine similar terms
0.50m = 20 - 1.50
Add similar terms together
0.50m = 18.50
Divide both sides of the equation by 0.50
m = 37 miles
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pls answer quickly
the spring scan shows mass in kilograms what is the mass shown here?
A) 2.5kg
B) 7.5kg
C) 12.5kg
D) 17.5
Answer:
B) 7.5kg
Step-by-step explanation:
It is between 5kg and 10kg, so it would be 7.5kg.
need help with algerba 2
F(4)4 is the x value 4. Find where the line is on th y axis at x = 4
The dot is between 60 and 70 so the answer would be 64
Answer: D. 64
Answer:
the answer is d
Step-by-step explanation:
if you look on the graph where the x-value equals 4, the y-value of that point is your answer and d is the only value in that range
75 is 12 more than a number k.
Answer:
So k is 75-12=63
Answer:
63
Step-by-step explanation:
subtract 75 from 12
3x^3-4x^2-28x-16 divided by 3x+2
I need answers to both of the questions Please help
Answer:
131 minutes, an = 15 + (n - 1)(4)
Step-by-step explanation:
each time she is increasing by 4 minutes
we can write this equation like this since we have the difference and the first part:
an = 15 + (n - 1)(4)
note
"an" (or ace of n)'s n is in subscript and is written just like a superscript but on the bottom
we can plug in this equation to find ace of 30 (a30)
15 + (30 - 1)(4)
15 + 29*4
116 + 15
a30 = 131
Answer:
1.) 192 minutes
2.) If it's the 9th day : 69 minutes
If it's the 10th day : 64 minutes
Step-by-step explanation:
1.) 5th Day - 32 minutes
32*6= 192 minutes on the 30th day.
2.) If it's the 9th day -
3rd Day - 23 minutes
23*3= 69 minutes
2.)If it's the 10th day -
5th day - 32 minutes
32*2= 64 minutes
Maigan spends her summer working at as a
camp counselor. She makes $1800 and
wants to use it to buy a new phone. The
phone she wants will cost $50 per month.
Write an equation that represents the
relationship between total money left, T and
months, m.
Based on the amount Maigan makes and the amount she spends on the phone per month, the relevant equation using the mentioned variables will be "T = 1,800 - 50m"
Maigan makes $1,800 and this is the source of the cost of the phone.
If she pays $50 per month, the relevant equation to find out the amount of money she would be left with after a number of months is:
= Amount started with - Amount spent per month x number of months
This can be written as:
T = 1,800 - 50 x m
T = 1,800 - 50m
In conclusion, the relevant equation would be T = 1,800 - 50m.
Find out more on forming equations at https://brainly.com/question/4681624.
The equation 750(1.03)4t=1,000 can be used to find the amount of time, t, in years, it takes for a savings account compounded quarterly to reach $1,000. In order to solve the equation 750(1.03)4t=1,000, a student graphs the equations y=750(1.03)4t and y=1,000. What is the approximate solution to the equation 750(1.03)4t=1,000?
Answer:
Step-by-step explanation:
T=29.16
Complete the table by cubing each positive x-value.
Solve for x.
3 + 9x = 11x - 7
Answer:
3 + 9x = 11x - 7
simplify
9x + 3 = 11x - 7
subtract 11x from both sides
-11x -11x
-2x + 3 = -7
get rid of constants first by subtracting by 3 from both sides
-3 -3
-2x = -10
divide both sides by -2 since that is the inverse operation of multiplication
/-2 /-2
X = 5
Answer:
x=5
Step-by-step explanation:
Hi, first the thing to do here is simple,
step 1, collecting like terms
3+9x=11x-7
11x-9x=3+7
2x=10
then divide both by 2.
x= 5
What is the simplified form of the expression? HELP ASAP
Answer:
[tex]360[/tex]
Step-by-step explanation:
[tex] \frac{5(14 - 2)^{2} }{2} = \frac{5 {(12)}^{2} }{2} = \frac{5(144)}{2} \\ \\ \frac{720}{2} = 360[/tex]
Answer:
The answer is option (d) 360.
Step-by-step explanation:
Solution :[tex]\implies{\tt{\dfrac{5(14 - 2)^{2} }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5(12)^{2} }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5(12 \times 12) }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5(144) }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5 \times 144 }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5 \times \cancel{144}}{ \cancel{2}}}}[/tex]
[tex]\implies{\tt{5 \times 72}}[/tex]
[tex]\implies{\tt{360}}[/tex]
[tex]\dag{\underline{\boxed{\sf{\red{360}}}}}[/tex]
Hence, the answer is 360.
[tex]\rule{300}{1.5}[/tex]
Learn More :✧ BODMAS :
↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.
It stands for :-
⠀ ⇝ B - Brackets,
⠀ ⇝ O - Order of powers or roots,
⠀ ⇝ D - Division,
⠀ ⇝ M - Multiplication
⠀ ⇝ A - Addition
⠀ ⇝ S - Subtraction.
↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.
✧ BODMAS RULE :
↝ First, we solve brackets, then powers or roots,then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.
⠀ ↠ Addition (+)
⠀ ↠ Subtraction (-)
⠀ ↠ Multiplication (×)
⠀ ↠ Division (÷)
⠀ ↠ Brackets ( )
[tex]\rule{300}{1.5}[/tex]