Answers
Answer:
30 square cm
Step-by-step explanation:
Key skills needed are: Triangle similarity, multiplication, proportions, subtraction
1) We first find that Triangle BCD is similar to triangle ACE. This is because they both have 1 right angle, and both share Angle BCD. Therefore, the other two angles are also the same measure.
2) Based on the statement above, 6/9 = 8/CE (CE just means the length of CE)
3) Solve this by cross multiplying -
[tex] \frac{6}{9} = \frac{8}{ce} [/tex]
This means that 6(CE) = 8(9)
4) Multiply it out: 6(CE) = 72
5) Divide by 6 and get CE = 12 cm.
6) Then use base time height to find the area of both triangles.
7) For triangle BCD: 6(8)/2 = 6(4) = 24 square centimeters
8) For Triangle ACE: 9(12)/2 = 9(6) = 54 square cm
9) To find the area of ABDE, you would subtract the are of triangle ACE by the area of triangle BCD
10) This is 54 - 24 = 30 square cm.
Hope you understood and have a nice day!! :D
Related Questions
Evaluate when f(-3) and f(7)
f(x) = {3x-1,tfx>4
{2x,tfx<4
_
Answers
Answers:
f(-3) = -6f(7) = 20======================================================
Explanation:
The piecewise function f(x) changes based on what the input is.
We have two cases:
Case A) if x > 4, then f(x) = 3x-1Case B) If [tex]x \le 4[/tex], then f(x) = 2xThe input x = -3 satisfies the inequality [tex]x \le 4[/tex], so we go with case B for this input
f(x) = 2x
f(-3) = 2(-3)
f(-3) = -6
In contrast, the input x = 7 satisfies the inequality x > 4. So we go for case A this time.
f(x) = 3x-1
f(7) = 3(7)-1
f(7) = 21-1
f(7) = 20
----------------------
Side note: It might be better to let g(x) = 3x-1 and h(x) = 2x. Then we could further say "If x > 4, then f(x) = g(x) OR if [tex]x \le 4[/tex], then f(x) = h(x)". Though this might be a more wordy definition.
On a game show, one contestant correctly answered 43% of the questions. What fraction of the questions did she answer correctly
Answers
Explanation: 0.43=43/100
Find the solution mentally.
-12 • c = 12
Answers
marking brainliest to whoever can help and explain
Answers
Answer: I hope I got it right. You can mark brainliest if you want. I don't really care.
Step-by-step explanation:
Well, it seems that for every week, Pragitha swims x + 2 laps. So if she swims x + 2 laps twice, she will get 2x + 4. So x is equal to 4. You add that four and you get three x. So for one week, she swims x + 2 laps and for the second lap, she swims 2x + 4. Which according to the table, is equal to 3x. So for 3 weeks, she clearly swims less, because maybe she's tired or something. So it's 2x+1. And for week 4, it's week one and week 2 combined.
The expression on the other hand is
10x + 9
Evaluate the following expression:
3y2 - 4x + 2xy, when x = 2 and y = 5
Answers
Answer:
87Step-by-step explanation:
3×(5)^2 - 4×2 + 2×2×5
3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 20
3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8
3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8 95-8
3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8 95-887
HELLLLLLP!!!!! PLEASE!!!!
Answers
Answer: Slope: -1 Y-intercept: -4
Step-by-step explanation:
Slope formula:
[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m=\frac{-13 -(-6)}{9-2}= m=\frac{-13 + 6}{9-2}[/tex]
[tex]m=\frac{-7}{7\\}[/tex]
m = -1
When you draw this on the graph, the y-intercept is -4.
y = -4
y-intercept: (0,-4)
Find the measure of . (to the nearest tenth)
Answers
Answer:
Answer: A
Step-by-step explanation:
The cos(theta) = adjacent / hypotenuse
The cos(theta) = 4/5
cos(theta) = 0.8
theta = cos^-1 (0.8)
theta = 36.9
theta = A
<
y=-5%
3 2
4
21
2
2
✓-
zero slope
positive slope
undefined slope
negative slope
Answers
because the line is going down from left to right
-4(2m + 2n) + 2(3m-2n)
Answers
Answer:
-2m -12n
Step-by-step explanation:
-8m -8n +6m-4n
Step-by-step explanation:
= -8m-8n+6m-4n
= -8m+6m-8n-4n
= -2m-12n
hope it helps.
7
Two different schools, school A and school B, attended a conference.
12% of the attendees were teachers, the rest were students,
47% of the attendees were from school A.
48% of the attendees were students from school B.
One of the attendees is selected at random.
Find the probability that they are a teacher from school A
Answer as a %*
Answers
Answer:
is the any options?
Step-by-step explanation:
Can someone help me please
Answers
Answer:
125
Step-by-step explanation:
HELPPPP...When you have a division problem like the one listed below... What do you do with the exponents?
Answers
P^12-2t^7-7r^2-1
p^10r
you just substracting
A model rocket is launched from ground level. Its height, h meters above the ground, is a function of time t seconds after launch and is given by the equation . What would be the maximum height, to the nearest meter, attained by the model? (First find the axis of symmetry x= (-b/2a), then plug this value into the equation)
Answers
Answer:
The maximum height attained by the rocket is 240.1 m.
Step-by-step explanation:
The height above the ground is a function of time t is given by :
[tex]h= -4.9t^2 + 68.6t[/tex] ...(1)
We need to find the maximum height of the model. First we find the time of max height using axis of symmetry of the equation as follows :
[tex]x=\dfrac{-b}{2a}[/tex]
We have, a = -4.9 and b = 68.6
So,
[tex]t=\dfrac{-(68.6)}{2\times -4.9}\\\\=7\ s[/tex]
Put t = 7 in equation (1)
[tex]h= -4.9(7)^2 + 68.6(7)\\\\=240.1\ m[/tex]
So, the maximum height attained by the rocket is 240.1 m.
Seventh graders collected some gold sand on a class field trip.
Class 7A collected 40 oz of gold sand that contains 12% gold.
Class 7B collected 55 oz of gold sand that contains 11% gold.
How much pure gold did 7A collect?
Answers
Answer:
Class 7A collected 4.8 ounces of pure gold.
Step-by-step explanation:
Key skills required are: Percentages, Multiplication
We only need the information about Class 7A. They collected 40 oz that contains 12% gold. In other words, this means that 12% of that 40 oz gold sand is pure gold.Here we have to do 12% x 40 to find the number of oz of pure gold. We first have to convert 12% into a decimal. Divide it by a 100 (or move the decimal point 2 places to the left) and you will get 0.12.
Do 0.12 x 40 and you will get 4.8
Therefore, there are 4.8 oz of pure gold in Class 7A's gold sand
Help me solve this (pls show working)
Answers
Answer:
The area of the polygon is 92.75 cm^2
Step-by-step explanation:
To find the area of the polygon, we simply add up the areas of the constituent triangles
At any point in time;
Area of a triangle = 1/2 * base * height
So we proceed as follows;
(1/2 * 12 * 4.5) + (1/2 * 12 * 5)
= 27 + 30 = 57 cm^2
There is a last triangle with 12 cm and 5 cm as the sides and we need the length of the hypotenuse
The length of the hypotenuse for that triangle will be 13 cm. This is because 5,12 and 13 are Pythagorean triple and they form the sides of a right-angled triangle
So for the last triangle, the area will be;
1/2 * 13 * 5.5 = 35.75 cm^2
So the total area is;
35.75 + 57 = 92.75 cm^2
Help please!!
If y varies directly with x, and x = 7 when y= 28, find y when x = 13.
1. y= 4
2. y=17
3. y= 42
4. y = 52
Answers
4y 13 times = 52
4
what is the x intercept of x+ 7y = 35
Answers
Erin is buying pizza for 12 people. She estimates that each person will eat 3 slices of pizza. Erin also knows that each pizza will cost $15.25 and will be cut into 8 slices. Which expression can be used to calculate the amount of money Erin needs for pizza?
Answers
Answer:
Total cost= 15.25*[(12*3)/8]
Step-by-step explanation:
The expression would be:
Total cost= 15.25*[(12*3)/8]
Prove:
Number of slices= 12 people*3 slices
Number of slices= 36
Number fo pizzas= number of slices/8
Number of pizzas= 36/8
Number of pizzas= 4.5 = 5 pizzas
Now, the total cost:
Total cost= number of pizzas*unitary cost
Total cost= 5*15.25
Total cost= $76.25
6
Using the equation S = (n − 2) 180, find the measure for one Interior angle of a decagon (10-sides). Round to one decimal place if necessary.
Answers
Answer:
1140
Step-by-step explanation:
A decagon has 10 sides so substitute it like this:
(n-2) x 180
(10-2) x 180
8 x 180= 1140
Each morning a gardener uses 25 gallons of water from a barrel. Each afternoon, she adds 15 gallons of water to the barrel. By how much has the volume of water in the barrel changed after 5 days?
Answers
Given :
Each morning a gardener uses 25 gallons of water from a barrel.
Each afternoon, she adds 15 gallons of water to the barrel.
To Find :
By how much has the volume of water in the barrel changed after 5 days.
Solution :
Amount of of water used from the barrel per day is :
A = 25 - 15 gallons
A = 10 gallons
Now, volume of water in the barrel changed after 5 days is :
V = A × 5 gallons
V = 10 × 5 gallons
V = 50 gallons
Therefore, volume of water in barrel is changed by 50 gallons.
Please help! I have 35 minutes left! You can get 100 points!
Which expression is equivalent to 8 - (6r + 2)?
-6r + 6
2r +2
6r + 10
-6r + 10
Answers
Answer:
The expression equivalent to 8 - (6r + 2) is -6r + 6 ⇒ A
Step-by-step explanation:
Let us solve the question
∵ The expression is 8 - (6r + 2)
→ Multiply the bracket by (-)
∵ (-) × (+) = (-)
∴ 8 - (6r + 2) = 8 - 6r - 2
→ Add the like terms
∵ 8 - (6r + 2) = (8 - 2) - 6r
∴ 8 - (6r + 2) = 6 - 6r
→ Switch the terms
∴ 8 - (6r + 2) = -6r + 6
∴ The expression equivalent to 8 - (6r + 2) is -6r + 6
pls help me on this.
Answers
10+2x+6=24
-2x. -2x
10+6=-2x+24
-24. -24
10+6-24=-2x
simplify
-8=-2x
divide both sides by -2
4=x
2. x=7
14+3x+5=40
-3x. -3x
14+5=40-3x
-40. -40
14+5-40=-3x
-21=-3x
divide both side by -3
7=x
What is an equation of the line that passes through the point (6,−4) and is perpendicular to the line 2x−y=5?
Answers
Answer:
An equation of the line that passes through the point (6,−4) and is perpendicular to the line will be:
[tex]y=-\frac{1}{2}x-1[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the line
[tex]2x-y=5[/tex]
converting the line into slope-intercept form
y = 2x-5
comparing with the slope-intercept form of the line equation
The slope of the line = m = 2
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 2
Thus, the equation of new line = – 1/m = -1/2 = -1/2
using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values of the slope = -1/2 and the point (6,−4)
[tex]y-\left(-4\right)=-\frac{1}{2}\left(x-6\right)[/tex]
[tex]y+4=-\frac{1}{2}\left(x-6\right)[/tex]
Subtract 4 from both sides
[tex]y+4-4=-\frac{1}{2}\left(x-6\right)-4[/tex]
[tex]y=-\frac{1}{2}x-1[/tex]
Therefore, an equation of the line that passes through the point (6,−4) and is perpendicular to the line will be:
[tex]y=-\frac{1}{2}x-1[/tex]An equation of the line that passes through the point (6,−4) and is perpendicular to the line 2x−y=5 is [tex]y=-\frac{1}{2}x-1[/tex]
Given:
An equation of the line that passes through the point (6,−4) and is perpendicular to the line 2x−y=5
First we find the slope of given equation 2x-y=5
y=mx+b is the equation of the line . where 'm' is the slope
[tex]2x-y=5\\2x-5=y\\y=2x-5[/tex]
Slope m=2.
Slope of perpendicular lines are negative reciprocal of one another
Slope of perpendicular line is [tex]-\frac{1}{2}[/tex]
The line passes through the point (6,-4)
Use the point and slope to get the equation of the perpendicular line
slope m = [tex]-\frac{1}{2}[/tex]
Point slope form of line is
[tex]y-y_1=m(x-x_1)\\y+4=-\frac{1}{2}(x-6)\\y+4=-\frac{1}{2}x+3\\y=-\frac{1}{2}x-1[/tex]
An equation of the line that passes through the point (6,−4) and is perpendicular to the line 2x−y=5 is [tex]y=-\frac{1}{2}x-1[/tex]
Learn more : brainly.com/question/19864665
.
WILL GIVE 100 POINTS AFTER YOU ANSWER
What kind of culture emerged in Cordoba after centuries of Muslim rule?
1.a strictly Muslim culture, far removed from anything Europe would recognize
2.a colorful fusion of Arab and Christian customs, art, and religious practices
3.a culture similar to Byzantine ways of life, but focused on Muslim beliefs
4.a mostly austere and simple culture, similar to life in the rest of Europe
Answers
Answer: 2. a colorful fusion of Arab and Christian customs, art, and religious practices.
Step-by-step explanation:
My history teacher mentioned this in class.
Which statement is true about the polynomial 3j4k−2jk3+jk3−2j4k+jk3 after it has been fully simplified? It has 2 terms and a degree of 4. It has 2 terms and a degree of 5. It has 1 term and a degree of 4. It has 1 term and a degree of 5.
Answers
Answer:
Hence the simplified form has has 1 term and a degree of 4
Step-by-step explanation:
Given the expression
3j⁴k - 2jk³+jk³-2j⁴k+jk³
Collect like terms
= 3j⁴k-2j⁴k- 2jk³+jk³+jk³
= j⁴k- 2jk³+jk³+2jk³
= -j⁴k-2jk³+2jk³
= - jk⁴
Hence the simplified form has has 1 term and a degree of 4
Answer:
It has 1 term and a degree of 5.
Step-by-step explanation:
1. The daily wages of 50 workers in a factory are given below:
Daily wages
in )
340-380 380-420 420-460 460-500 500-540 540-580
16
Number of
workers
9
12
2.
7
4
Construct a histogram to represent the above frequency distribution.
Answers
plss pls pls help and pls show ur work
Answers
The number of strawberry baskets sold was 44
Step-by-step explanation:
Let
x ----> the number of strawberry baskets sold
y ---> the number of raspberries baskets sold
we know that
In one morning, Katya sells 96 baskets for $644
so
----> equation A
---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (44.52)
see the attached figure
therefore
The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52
Hope i helped! :)
(9x + 5) - (4x + 3)
Please show work
Answers
Answer:
Step-by-step explanation:
Simplifying
(9x + 5) + -1(4x + 3) = 0
Reorder the terms:
(5 + 9x) + -1(4x + 3) = 0
Remove parenthesis around (5 + 9x)
5 + 9x + -1(4x + 3) = 0
Reorder the terms:
5 + 9x + -1(3 + 4x) = 0
5 + 9x + (3 * -1 + 4x * -1) = 0
5 + 9x + (-3 + -4x) = 0
Reorder the terms:
5 + -3 + 9x + -4x = 0
Combine like terms: 5 + -3 = 2
2 + 9x + -4x = 0
Combine like terms: 9x + -4x = 5x
2 + 5x = 0
Solving
2 + 5x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2
Combine like terms: 0 + -2 = -2
5x = -2
Divide each side by '5'.
x = -0.4
Simplifying
x = -0.4
easy boy
A tabletop in the shape of a trapezoid has an area of 7,598 square centimeters. Its longer base measures
127 centimeters, and the shorter base is 105 centimeters. What is the height?
Answers
Answer:
65.5 cmStep-by-step explanation:
Trapezoid area formula:
A = 1/2(b1 + b2)hSubstitute values:
7598 = 1/2(127 + 105)h7598 = 116hh = 7598/116h = 65.5 cm[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]
what is the value of a:b??
Answers
Given:
[tex]\sf \dfrac{a\ -\ 3b}{a\ +\ 2b}\ =\ \dfrac{4}{3}[/tex]
To find: The value of a:b.
Answer:
[tex]\sf \dfrac{a\ -\ 3b}{a\ +\ 2b}\ =\ \dfrac{4}{3}[/tex]
Cross-multilpying,
[tex]\sf 3\ \times\ (a\ -\ 3b)\ =\ 4\ \times\ (a\ +\ 2b)\\\\3a\ -\ 9b\ =\ 4a\ +\ 8b[/tex]
Bringing the like terms together,
[tex]\sf 3a\ -\ 4a\ =\ 8b\ +\ 9b\\\\\\-a\ =\ 17b\\\\\\\dfrac{-a}{b}\ =\ 17\\\\\\\dfrac{a}{b}\ =\ -17[/tex]
Therefore, a:b = -17.