Answers
Answer:
Step-by-step explanation:
Because CB = 6 cm, we can find CD
Use Triangle CDB.
<BCD = <BCA - <ACD
<BCD = ?
<BCA = 90
<ACD = 60
<BCD = 90 - 60
<BCD = 30
Cos 30 = CD / CB
CD = Cos(30) * BC
CD = 5.196 cm
<A = 90 - ACD
<ACD = 60
<A = 90 - 60
<A = 30
Sin(<A) = CB / AB
AB = CB / sin(<A)
AB = 6 / 0.5
AB = 12
Area =1/2 CD * AB
Area = 1/2 * 5.196 * 12
Area = 31.18
Related Questions
Which binomial is a factor of 100x2 – 49?
a
O 10x + 7
O 25% - 7
O 25x + 49
O 203 – 49
-
Answers
Answer:
Step-by-step explanation:
What you have here is called "the difference of two squares"
Difference means subtraction and both 100x2 and 49 are perfect squares.
The factored form of 100x2-49 is
(10x+7)(10x-7)
Because 10x times 10x is 100x2 and 7 times 7 is 49
One factor has a + and
One factor has a -
It is a pattern worth memorizing!
So 10x + 7 is the factor you're looking for.
I NEED HELP ON THIS MATH PROBLEM ASAP
Answers
Answer:
y= -5x +5
Step-by-step explanation:
Solve: x + 1 < 4 and 3 - x > 5
Answers
Answer:
okokok
Step-by-step explanation:
Rewrite the equation in slope -intercept form then graph the linear equation x+4y=8
Answers
Answer:
Step-by-step explanation:
x + 4y = 8
-x -x
4y = -x + 8
divide by 4
y= -1/4x + 2
then graph
Help again please
A stack of 400 pieces of paper is 1.800 inches tall.
A. Derion guesses that each piece of paper is 0.015 inches thick. Explain how you know that Derion’s answer is not correct.
B. Compute the thickness of each piece of paper. Show your reasoning.
Answers
X - 5V + 17 = 0 2x+ V + 1 = 0
Answers
Answer:
x= -[tex]\frac{10}{3}[/tex], v = [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
x= - 10/3, v = 7/3
jus so u want to copy so u don't have to type ur self
Decide whether each set of side lengths could form a valid triangle: (6,8,9), (3,8,5), (4,9,14).
Answers
2) no
3) no
Explanation: try to draw the last two its impossible. The only reason why the first one is a yes is because you could only make a side SLIGHTLY bigger.
Find the slope-intercept form of the line that satisfies the given conditions.
Through A(−7, 5) and B(6, 11)
Answers
Answer:
[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]
Step-by-step explanation:
(x1, y1) = (-7, 5)
(x2, y2) = (6, 11)
The firs thing to do is fine the slope. That is the distance between the y-coordinates divided by the distance between the x-coordinates:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
I marked the points above as points 1 and 2, so you can plug those numbers into the formula:
[tex]m=\frac{11-5}{6--7}\\\\m=\frac{6}{13}[/tex]
That fraction can't be simplified any further, so the slope of this line is 6/13. The next thing to do is to find the y-intercept.
[tex]y=mx+b[/tex]
Plug the slope and any point of your choice into the equation. I'll use point b:
[tex]11=(\frac{6}{13})6+b[/tex]
Now, solve for b:
[tex]11=\frac{36}{13}+b\\\\11-\frac{36}{13}=b\\\\\frac{143}{13}-\frac{36}{13}=b\\\\\frac{107}{13}=b\\\\b=\frac{107}{13}[/tex]
They're far from clean, but those are the correct slope and y-intercept. Using those, the equation for this line is:
[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]
You can confirm that this is the correct equation by checking it with one of the points. Plug in one of the known values of x and make sure it gives the correct value of y:
[tex]y=\frac{6}{13}(-7)+\frac{107}{13}\\\\y=\frac{-42}{13}+\frac{107}{13}\\\\y=\frac{65}{13}\\\\y=5[/tex]
That works out.
The area of a rectangle is 65 square inches.
The length is x + 5, and the width is x – 3.
Find the value of x, and the dimensions of the rectangle.
A = lw
x=
length =
width=
Answers
Answer:
x=-10,8
length=13
width=5
Step-by-step explanation:
(x+5)(x-3)=65
x^2+2x-15-65=0
x^2+2x-80=0
(x+10)(x-8)=0
x=-10,8
x+5
(-10)+5=-5, negative length does not make sense
x+5
8+5=13
x-3
(-10)-3=-13, negative width does not make sense
x-3
(8)-3=5
Answer:
x=8
length= 13inches
width=5inches
Step by step explanation:
A=lw
65= (x+5)(x-3)
65= x²-3x+5x-15
x²+2x-80=0
x²+ 10x - 8x - 80 = 0
x(x+10) -8(x+10) = 0
(x-8)(x+10)=0
x= 8 or -10
x cannot be negative
hence x= 8
length= x+5
=8+5
=13inches
width= x-3
=8-3
=5inches
the regular price of a sweatshirt is 25.00 what is the cost of the sweatshirt if u only pay 60% of the regular price
can someone please awnser this right away
Answers
Answer:
[tex]25 \times \frac{60}{100} = 15[/tex]
Step-by-step explanation:
Multiply 25 by 60%
how to find the perimeter of a triangle with vertices
Answers
Answer:
P = A + B + C
Step-by-step explanation:
Essentially, just add the length of each side. The sum is the perimeter.
Hit brainliest if this was helpful :)
add each side
hope ithelps you
Please answer the following question
(d+m)A=2
A= ?
Answers
Answer:
A is equal to 3
please mark me as brianleast
It can be rewritten as A(d+m)=2
The opposite of multiplying is division is divide (d+m) on both sides
A=2/(d+m)
This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
20% still got the flu. Of those who did not receive the flu shot, 65% got the flu.
Use the tree diagram to determine the probability that a person with the flu is a person who received a flu shot.
Enter your answer as a decimal to the ten thousandths place.
=> 0.1165
Answers
Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Person has the flu.Event B: Person got the flu shot.The percentages associated with getting the flu are:
20% of 30%(got the shot).65% of 70%(did not get the shot).Hence:
[tex]P(A) = 0.2(0.3) + 0.65(0.7) = 0.515[/tex]
The probability of both having the flu and getting the shot is:
[tex]P(A \cap B) = 0.2(0.3) = 0.06[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165[/tex]
0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
To learn more about conditional probability, you can take a look at https://brainly.com/question/14398287
Answer:
flu shot
flu
no flu
.30
.20
Step-by-step explanation:
trust
Apply the distributive property to create an equivalent expression.
-9x(5j+k)
PLEASE HELP THANK YOUU!!
Answers
Answer:
-45xj-9xk
Step-by-step explanation:
-9x(5j+k)
Multiply -9x with 5j
Multiply -9x with k
-9x times 5j is -45xj
-9x times k is -9xk
So the equivalent expression is
-45xj-9xk
Hope this helps!
On a scale drawing of a town,two landmarks are shown 6 inches apart. These two places are actually separated by 54 miles. What is the map's scale? 1 inch = ______ miles
Answers
Answer:
9
Step-by-step explanation:
[tex]54 \div 6 = 9[/tex]
Each unit in the coordinate plane corresponds to 1 mile. Find the distance from the stadium to Pine Avenue. Round your answer to the nearest tenth.
The distance is about
miles.
Answers
The distance from the stadium to Pine Avenue is [tex]13.4miles[/tex], (to the nearest tenth)
The stadium is on Hazel Street(the green line). Pine Avenue is the blue line. The distance from the stadium to Pine Avenue will be the distance on the graph (in miles) from the point representing the stadium, to the point of intersection between Hazel Street and Pine Avenue.
We know the location of the stadium, [tex]S=(-6,6)[/tex]
The point of intersection can be obtained by solving the simultaneous equations
[tex]y=-\dfrac{1}{2}x+3\\y=2x-12[/tex]
since both equations are set equal to [tex]y[/tex], set them equal to each other, to eliminate [tex]y[/tex], and solve for [tex]x[/tex]
[tex]-\dfrac{1}{2}x+3=2x-12\\\\x=6[/tex]
Substitute this value of [tex]x[/tex], into the equation for Pine avenue
[tex]y-2x-12\\=2(6)-12\\=0[/tex]
The point of intersection between Hazel Street and Pine Avenue is [tex]I=(x,y)=(6,0)[/tex]
To compute the distance between the stadium and Pine Avenue, we find the distance between the two points [tex]S[/tex] and [tex]I[/tex]. So,
[tex]d=\sqrt{(6-(-6))^2+(0-6)^2}\\\\=\sqrt{12^2+(-6)^2}\\\\=6\sqrt5\approx13.4\text{ (to the nearest tenth)}[/tex]
The distance is [tex]13.4miles[/tex]
Learn more about coordinate geometry here: https://brainly.com/question/15318780
Suppose y varies directly with x where y=21 when x=7 find y when x = 15
Answers
what is 0.75 greater than 9
Answers
Answer: 9.75
Step-by-step explanation: i just added
Answer:
less
Step-by-step explanation:
Stacey is selling popcorn at a rate of $2 per bag. She is only charging a one time thing for $0.50 for tax. What is the equation of this description?
Answers
What is the linear function equation represented by the graph?
Answers
Answer:
y=1/3x-4
Step-by-step explanation:
The point where the line intercepts the y-axis is the y-intercept and where the digit -4 comes from
1/3 comes from how many times the line rises (1) and run (3)
Hope this helps!
The quotient of 45% -31. - 15) and a polynomial is (-3). What is the pokyrıcaiak
A
Ox5% -6% -30% * 944 45
0-5
O % 45
O % * 5% 46% - 30% * 944 45
Answers
Answer:
A
Step-by-step explanation:
Given that m||n, determine the relationship between ∠9 and ∠15.
Answers
The relationship between ∠9 and ∠15 is (c) alternate exterior angles.
There are several relationships that can be formed by angles within the transversal of parallel lines.
From the attached figure, we can see that angles ∠9 and ∠15 are exterior angles of parallel lines m and n.
Because these lines are parallel, then both angles are alternate exterior angles.
Read more about parallel lines at:
https://brainly.com/question/24607467
the monthly income of a family is rs 2500 the ratio of the expenditure and saving is 3:2 find amount of saving.
Answers
Answer:
The amount of saving is Rs.1000.
Step-by-step explanation:
Solution :
Let the,
>> Expenditure = 3x>> Saving = 2xSo, solving for x.
[tex]{\dashrightarrow{\tt{Expenditure + Saving = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{3x + 2x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{5x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{x = 2500 \div 5}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \dfrac{2500}{5}}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \cancel{\dfrac{2500}{5}}}}}[/tex]
[tex]{\dashrightarrow{\tt{x =500}}}[/tex]
[tex]{\star{\underline{\boxed{\tt{\red{x =500}}}}}}[/tex]
Hence, the value of x is 500.
Thus,
>> Expenditure = 3 × 500 = Rs.1500>> Saving = 2 × 500 = Rs.1000[tex] \rule{300}{1.5}[/tex]
Plz, Help Me!!!
Which graph represents the equation (x + 4)^2 + (y + 5)^2 = 36?
Answers
Answer:
d
Step-by-step explanation:
the center of the circle is at (-4. -5) with a radius of 6
If 5/3 liters of water is enough to water ⅕ of your yard, 5 3 how much water is needed to water the entire yard?
Answers
Answer:
8 1/3 liters
Step-by-step explanation:
create a proportion from water : yard
let 'y' = water for entire yard
5/3 ÷ 1/5 = y ÷ 5/5
5/3 · 5/1 = y/1
25/3 = y/1
3y = 25
y = 8 1/3
HELP PLZ I NEED THIS DONE ASAP
Answers
Answer:
Step-by-step explanation:
The answer would be -19
Hope you could get an idea from here.
Doubt clarification - use comment section.
Which is the graph of 2x + 3y > -3
Graph: C
Answers
order the numbers from least to greatest .
Answers
least to greatest
-4.5
-4
-3 1/2
-3
2.5
Answer:
-4.5, -4, -3 1/2, 2.5, 3
Step-by-step explanation:
simply 5(x-y)+2(x+y)
Answers
Answer:
5x-5y+2x+2y
7x-3y
That's it
A laptop has a listed price of $613.99 before tax. If the sales tax rate is 8.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
$666.18
Step-by-step explanation:
613.99 x (1+(8.5/100)) = 666.17915 (rounded up to 666.18)