Answer:
3
Step-by-step explanation:
3
ΔBCE is half the base length and two third the height of ΔACF, therefore,
the area of ΔBCE is less than half the area of ΔACF.
The area of triangle ΔBCE is 60 cm².
Reasons:
In ΔACF, we have;
B = The midpoint of AC
Point E and point D are points on side CF
Distance C to D = Distance D to E = Distance E to F
Area of ΔACT = 180 cm²
Required:
Area of ΔBCE
Solution:
[tex]Area \ of \, \Delta ACF = \mathbf{\dfrac{1}{2} \times AC \times CF} = 180 \ cm^2[/tex]
[tex]In \ \Delta BCE, \, BC = \dfrac{1}{2} \times AC \ and \ CE = \dfrac{2}{3} \times CF[/tex]
Therefore;
[tex]Area \ of \ \Delta BCE = \dfrac{1}{2} \times BC \times CE = \dfrac{1}{2} \times \left(\dfrac{1}{2} \times AC \ \right) \times \dfrac{2}{3} \times CF[/tex]
[tex]\dfrac{1}{2} \times \left(\dfrac{1}{2} \times AC \ \right) \times \dfrac{2}{3} \times CF = \dfrac{1}{2} \times \dfrac{2}{3} \times \left(\dfrac{1}{2} \times AC \ \right)\times CF = \mathbf{\dfrac{1}{3} \times Area \ \Delta ACF}[/tex]
Therefore;
[tex]Area \ of \ \Delta BCE = \dfrac{1}{3} \times Area \ \Delta ACF = \dfrac{1}{3} \times 180 = 60[/tex]
The area of triangle ΔBCE = 60 cm².
Learn more here:
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Question 4 of 5
Find the length of side a.
A. 9
B. 34 square root
C. 2
D. 3
please answer and fast
Answer:
D
Step-by-step explanation:
A car that weighs 2000 kg is moving at an
acceleration of 20 m/s2.
How much force does the car have?
Answer:
40000
Step-by-step explanation:
Use force calculator
The local ice cream shop surveyed their costumers to see wich flavor of ice cream is most popular.125 people chose chocolate as their favorite flavor,wich represents 25% of the costumers surveyed.How many total costumers were surveyed?
Answer: The total costumers were surveyed = 500
Step-by-step explanation:
Let x = total costumers were surveyed.
Given : 125 people chose chocolate as their favorite flavor, which represents 25% of the costumers surveyed.
25% of x = 125
[tex]\Rightarrow\ \dfrac{25}{100}\times x = 125\\\\\Rightarrow\ \dfrac{1}{4}x=125\\\\\Rightarrow\ x=125\times4\\\\\Rightarrow\ x= 500[/tex]
Hence, the total costumers were surveyed = 500
The sum of two numbers is 59 and the difference is 21. What are the numbers?
Larger number:
Smaller number: 0
2.
Answer: The larger number is 40.
The smaller number is 19
Step-by-step explanation:
x + (x-21) = 59 This is the number and the number difference add to 59.
x + x = 59 + 21 Add 21 to both sides. Combine like terms.
2x = 80 divide both sides by 2
x= 40 This is the first number. Subtract 21 to get the second number
40 - 21 = 19
The difference between 40 and 19 is 21.
19 + 40 = 59
______________________
Not sure why this is in the question "Smaller number: 0
2.
Please help me solve these 3 problems. Solve for x state the properties used and check your answer. I’ll mark as brainliest.
a) 5(x - 2) - 6 = 24
b) 22 = (3x+5) - 18
c) -48 = -4(2x+5)+ 5x - 1
Answer:
a) 5x=8 use a calculator and use distributive property
b) 22=3x+5 -18
22=3x-13
9=3x
x=3
distributive property
c)-48= -8x-20+5x-1
-48= -3x-21
-27= -3x
x=7
distributive property
Step-by-step explanation:
Figure ABCD has vertice A (5,9) B (7,5) C (5,1) D (3,5)
Which names describe ABCD?
help please asap!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is 3.
Step-by-step explanation:
Plug in, combine, solve.
[tex]m = - 3 \\ {m}^{2} + 5m + 9\\ ( - 3)^{2} + 5( - 3) + 9 \\ 9 + 5( - 3) + 9 \\ 9 - 15 + 9 \\ - 6 + 9 \\ 3[/tex]
merry christmas whats 1 + 1 help me
Answer:
two
Thanks!!
Step-by-step explanation:
what is -1.5 in a fraction i need some help T^T
Answer:
-3/2
Step-by-step explanation:
hope this helps
help me plzzzzzzzzzzzzzz
Answer:
$25.65 for each pair
Step-by-step explanation: hope this helps!
Layla emptied out her change jar to buy a new binder for school. She found 147 coins consisting of dimes and nickels that totaled $11.65. Write a system of equations that could be used to determine how many dimes, d, and how many nickels, n, Layla had in her change jar.
Answer:
d + n = 147
0.10d + 0.05n = 11.65
d = 86, n = 61
Step-by-step explanation:
Let
Number of dimes = d
Number of nickels = n
Total coins = 147
Total value = $11.65
d + n = 147 (1)
0.10d + 0.05n = 11.65 (2)
From (1)
d = 147 - n
Substitute d = 147 - n into
0.10d + 0.05n = 11.65
0.10(147 - n) + 0.05n = 11.65
14.7 - 0.10n + 0.05n = 11.65
- 0.10n + 0.05n = 11.65 - 14.7
-0.05n = -3.05
n = -3.05 / -0.05
= 61
n = 61
Substitute n = 61 into
d + n = 147
d + 61 = 147
d = 147 - 61
d = 86
PLS HELP WILL GIVE BRANLIEST
A line of the equation has a slope of a/b, where a and b are integers.
What is the slope of the line that is perpendicular to this line?
Answer:
-b/a
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. That means that their product is -1.
slope of line = a/b
slope of perpendicular = -b/a
I don't understand this either what's this
Answer:
It's called a transversal lol
Step-by-step explanation:
I know that you were thinking that there should be a letter somewhere but you can't figure out the name of a line unless the name is shown lol
Pls mark Brainliest.
find f(-3), using the function f(x)=x^2+3
the area of a rectangular concrete patio is 70 square meters the perimeter is 34 meters what are the dimensions of the patio
Answer:
7 and 10
I hope this is correct and helps.
Answer:
7 and 10 because
perimeter you add all sides together like :
7 +7 +10 +10
14+20
34 (which checks out)
and then for area you multiply length and width and 7 x 10= 70 which checks out
Step-by-step explanation:
Find the circumference of a circle with a diameter of 20 centimeters. Round your answer to the nearest centimeter.
6 centimeters
126 centimeters
31 centimeters
0 63 centimeters
Answer:
63 centimeters
Step-by-step explanation:
What we know:
A cricle has a diameter of 20 cm.
To find circumference, use πd or 2πr.
3.14(10 * 2)
3.14(20)
62.8 cm, which rounds to 63 cm.
Pls help
A.
B.
C.
D.
Answer:
The answer is A so put it
A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find the probability that a blue marble will be drawn. a. One-third c. StartFraction 1 Over 7 EndFraction b. StartFraction 1 Over 11 EndFraction d. StartFraction 3 Over 14 EndFraction
Answer: The answer would be the favorable out some (how many blues) over the total outcomes (all marbles added together)
So the answer would be 3/14 or 21%
how to solve using Substitution or Elimination?
y=3x-1
y=2x+2
By elimination:
y = 3x - 1
y = 2x + 2
Subtract the second equation from the first
0 = x - 1
y = 2x + 2
Subtract the first equation from the second
0 = x - 1
y = x + 3
Subtract the first equation from the second again
0 = x - 1
y = 4
Subtract x from both sides of the first equation
- x = - 1
y = 4
Divide the first equation by (-1)
x = 1
y = 4
So, the solution is x = 1 and y = 4 {or: (1, 4)}I need help on this please
Answer:
25/3
Step-by-step explanation:
Set the equations equal to each other since the lines are parallel.
(x+20)=(4x-5)
-x +5 -x +5
25/3 = 3x/3
x = 25/3
2 3/5 times 3 1/3
Just answer please
Answer:
8
Step-by-step explanation:
Answer: 8.66666666667
Step-by-step explanation:
Which of the following shows the lengths of the sides of a right triangle?
A. 2, 3, 4
B. 5, 7, 11
C. 6, 8, 10
D. 8, 12, 15
Answer:
C
Step-by-step explanation:
use the formula a²+b²=c²
If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3
Answer:
y=-f(x)-3
Step-by-step explanation:
when f is negative it is reflected over the x-axis and -3 means to translate 3 units down
y = -f(x) – 3 describes the graphed function.
When f is negative it is reflected over the x-axis.
-3 means to translate 3 units down.
How do you identify a function?By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.
What are examples of graph functions?Function Graphs.Linear. Quadratic. Cubic. Square Root. Cube Root. Absolute Value. Reciprocal.Learn more about graph functions here: https://brainly.com/question/4025726
#SPJ2
PLS HELP ME!!!!! IT IS TIMED
Answer:
C. 13
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
need help asap
please
simplify the following expression
(5x + x + 2)
Answer:
6x+2
Step-by-step explanation:
PLEASEE answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
4 boys and 5 girls ratio (4:5)
4:5 ratio
hope this helps
Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
Answer:
7.8
Step-by-step explanation: