Answers
Answer:
Step-by-step explanation:
Since, CD is an altitude, ∠CDB will be a right angle.
m∠CDB = m∠CDA = 90°
By applying triangle sum theorem in ΔABC,
m∠CAB + m∠CBA + m∠ACB = 180°
20° + m∠CBA + 90° = 180°
m∠CBA = 180° - 110°
= 70°
Therefore, m∠CBD = 70°
By applying triangle sum theorem in ΔBCD,
m∠BCD + m∠CDB + m∠DBC = 180°
m∠BCD + 90° + 70° = 180°
m∠BCD + 160° = 180°
m∠BCD = 20°
m∠CAD = m∠A = 20°
m∠ACD = 90° - m∠BCD
= 90° - 20°
m∠ACD = 70°
Related Questions
8 9 13. Jenny bought kg of berries from the market and another 3 kg of berries from a fruit stall. How much berries did she buy altogether? 3 3
Answers
Answer:
she bought 5 berries in total
Step-by-step explanation:
3+2=5
Explanation:
Jenny bought 2/3 kg of berries and another 3/4 kg of berries.
Add the fractions:
2/3 + 3/4
= 8/12 + 9/12
= 17/12
= 1 5/12
Hope this helps!
7r - 3s =26
2r - 6s =8
Answers
Answer:
r = 3 2/3
s = -0.444333
Step-by-step explanation:
Multiply the top equation by 2
14r - 6s = 52
2r - 6s = 8 Subtract the two equations
12r = 44 Divide by 12
r = 44/12
r = 3 8/12
r = 3 2/3
2r - 6s = 8
2*(2 2/3) - 6s = 8
2*2.6667 - 6s = 8
5.3334 - 6s = 8 Subtract 5.3334 from both sides.
- 6s = 2 2/3 Divide by - 6
s = - 0.4443333
write an equation rectangular room 3 meters longer than it is wide and its perimeter is 18 meters
Answers
width = x
length = 3 + x
perimeter = x + x + ( 3 + x ) + (3+x)
18 = x + x + ( 3 + x ) + (3+x)
x + x + ( 3 + x ) + (3+x) = 18
6 + 4x = 18
4x = 12
x = 3
Instructions: Drag and drop the correct name for each angle. Each angle has more than one name so be sure to identity all the correct names
Answers
Answer/Step-by-step explanation:
Recall: an angle can be named in three different ways:
i. Using one letter which is the vertex of the angle. i.e. if the vertex of the angle is A we can name the angle as <A.
ii. Using the number of the labelled angle. i.e. is the angle is labelled 2, we can name it <2
iii. Using the three letters of the angles with the vertex angle in the middle. i.e. if the three points that form an angle are A, B, C and the vertex is B, we can name the angle as <ABC.
✔️Let's name the each angle given according:
1. <G, <3, and <FGH
2. <D, <4, and <CDE
3. <S and <TSR (the number seems blur and difficult to read. Whatever number is used to label the angle is what you'd use in naming the angle)
the Barnes family drove 140 miles the first day and 220 miles on the second day. If they drove about 60 miles per hour, approximately how many hours did they drive?
Answers
60x6=360
therefore your answer is 6 hours
7. Draw an equilateral triangle of side 6.5 cm and after locating its circumcentre. Draw its circumcircle. send it with image
Answers
Answer:
Step-by-step explanation:
A circumcircle can be referred to as a circumscribed circle to a triangle. The steps to follow is stated below:
i. Since the triangle is equilateral, draw the triangle with sides 6.5 cm
ii. Bisect any of its two sides. The two bisecting lines would intersect at center, O, of the triangle.
iii. With the center and either radius OA, OB or OC, draw a circumscribed circle to the triangle.
The construction is attached to this answer for clarifications.
Please help me i will give you brainlest
Answers
Answer:
x = 14/3
Step-by-step explanation:
9.
The given equation is:
(x-2)+(x-3)+(x-9)=0
After opening the brackets,
x-2+x-3+x-9=0
3x+(-2-3-9) = 0
3x-14=0
x = 14/3
So, the value of x is equal to 14/3.
Badluckville had been expecting a $50 million investment for a new golf resort, but the contract was cancelled.
Badluckville's mayor estimates that this will cost the city $300 million in total economic activity. What is the mayor's
estimate of the multiplier and marginal propensity to consume?
Answers
Answer:
multiplier = 6
marginal propensity to consume = .83
Step-by-step explanation:
/ means divided by
1 .
300,000,000 / 50,000,000 =
multiplier =
6
2.
300,000,000 - 50,000,000 =
250,000,000
250,000,000/300,000,000 =
marginal propensity to consume =
0.83333333333
or
.83
quizlet
marginal propensity to consume is equal to ΔC / ΔY, where ΔC is the change in consumption, and ΔY is the change in income
investopedia
Select the two values of x that are roots of this equation 2x^2+5x-3=0
Answers
Answer:
A and D are the answer.
Step-by-step explanation:
We can factor this by grouping
[tex]2 {x}^{2} + 5x - 3[/tex]
[tex]2 {x}^{2} + 6x - x - 3[/tex]
[tex]2x(x + 3) -1 (x + 3)[/tex]
The roots are
[tex](x + 3) = 0[/tex]
and
[tex]2x - 1 = 0[/tex]
Let solve for zero in each roots.
[tex]x = - 3[/tex]
[tex]2x = 1[/tex]
[tex]x = \frac{1}{2} [/tex]
Consider the function h(x) =StartFraction 1 Over x EndFraction . Which graph shows h(2x) + 4? On a coordinate plane, a curve opens up and to the right in quadrants 1 and 4. It goes through (0.5, 1), (1, negative 2), and (2, negative 3). Another curve opens down and to the left in quadrant 3. It goes through (negative 4, negative 4.5) and (negative 2, negative 5). On a coordinate plane, a curve opens up and to the right in quadrants 1 and 4. It approaches the y-axis in quadrant 1, and then curves down through (0.5, negative 3) and then approaches y = negative 4. Another curves opens down and to the left in quadrant 3. It approaches y = negative 4 and then curves down through (negative 1, negative 4.5). On a coordinate plane, a curve opens up and to the right in quadrant 1. It goes through (2, 5) and (3, 4.5). Another curve opens down and to the left in quadrants 2 and 3. It goes through (negative 1, 2) and curves down through (negative 0.5, negative 1). On a coordinate plane, a curve opens up and to the right in quadrant 1. It goes through (1, 4.5) and (4, 4). Another curve opens down and to the left in quadrants 2 and 3. It approaches y = 4 and then curves down and approaches the y-axis in quadrant 3. Mark this and return
Answers
Answer:
Graph D
Step-by-step explanation:
correct answer on edge :)
Answer:
D
Step-by-step explanation:
Find a linear function that models the cost, C, to produce x toys given the rate of change and initial output value. The cost to produce plastic toys increases by 90 cents per toy produced. The fixed cost is 40 dollars. C(x) = dollars Write a linear model for the amount of usable fabric sheeting, F, manufactured in t minutes given the rate of change and initial output value. Fabric sheeting is manufactured on a loom at 7.25 square feet per minute. The first five square feet of the fabric is unusable. F(t) = ft^2 is the amount of usable fabric sheeting manufactured in t minutes.
Answers
Answer:
C(x) = $40 + 0.9x
F(t) = 7.25t - 5
Step-by-step explanation:
Given that :
C(x) = Cost model to produce x toys
Fixed cost of production = $40
Rate of change = 90 cent per toy produced.
A linear model will take the form :
F(x) = bx + c ;
Where ; b = rate of change or slope ; c = intercept or initial value
Therefore, a linear cost model will be :
Cost model to produce x toys = fixed cost + (rate of change * number of toys)
C(x) = $40 + 0.9x
2.)
F(t) = amount of usable factory sheets manufactured in t minutes :
Rate of production = 7.25 ft² / minute
Number of unusable fabric sheeting = 5 ft²
The function, F(t) :
F(t) = 7.25t - 5
Use the quadratic formula to find the solutions to the equation.
3x^2-10x+5=0
Answers
Answer:
option a is correct by using quadratic formula
Peter organizes morning hikes for his friends every Saturday. When the hiking trail is 3 km long, 19 friends join him and when the trail is 5 km long, only 7 friends tag along. There exists a linear relationship between the distance of the hiking trail (in km) and the number of friends who tag along. The number of friends depend on the distance of the trail. Determine how many friends will tag along to a hiking trail of 2 km.
Answers
Answer:
25
Step-by-step explanation:
x = distance of the hike
y = number of friends coming along
so, we are looking for a linear relationship between these two.
y = ax + b
we need to find the factor a and the constant offset b.
19 = a×3 + b
7 = a×5 + b
7 - b = a×5
a = (7-b)/5
19 = (7-b)×3/5 + b
19 = (21 - 3b)/5 + b
95 = 21 - 3b + 5b
74 = 2b
b = 37
a= (7-37)/5 = -30/5 = -6
so, the relationship is
y = -6x + 37
for 2km hiking
y = -6×2 + 37 = -12 + 37 = 25 friends
Lendo 15 páginas por dia, Marcos leu um livro em
9 dias.
Para ler esse mesmo livro em 3 dias, quantas páginas
ele deveria ler por dia?
Answers
Answer:
Olha a foto.
Step-by-step explanation:
ayúdenme por favor, es de matemática.
Answers
Answer:welcome to brainly
Step-by-step explanation:
Hello there! My name is agenthammerx, a Master Answerer and Engagement Team Member here on Brainly. I am here to welcome you to the site! Thank you for taking initiative to check out Brainly and for posting your first question! The Brainly Community welcomes you. If you have any questions regarding anything about the site, please don’t hesitate to reach out to me! I will try my best to help you and answer your question or check out our help center at https://faq.brainly.com/
Which shows the best estimate of the quotient of 4,346 ÷ 82?
between 50 and 60
between 60 and 70
between 500 and 600
between 600 and 700
Answers
Answer:
Between 50 and 60
Step-by-step explanation:
4,346/82 is 53 which is between 50 and 60.
Hope this helps!
If anyone could help me figure out this problem I’d really appreciate it and I’ll give you brainliest
Answers
Answer:
A={Delaware, Pennsylvania, New Jersey}
|B|=3
Step-by-step explanation:
B={New Hampshire, Virginia, New York}
Given that Q(x)=2x^2 +5x-3 find and simplify Q(a+h)-Q(a-h)
Answers
Step-by-step explanation:
here is the answer. Feel free to ask for more.
Which point represents the unit rate?
A
B
C
D
Answers
Answer:
Point C represents the unit rate
Step-by-step explanation:
A woman had 88 goats.20 of them died.how many did he remains with.
Answers
Answer:
68 i think..........
Step-by-step explanation:
(⌒_⌒;)
the voltage in a lightbulb is given by the equation V= IR. in this equation V is the voltage, I is the current , and R is the resistance. what is the current in a lightbulb with a voltage of 35.0 V and a resistance of 175
Answers
Answer:
a
Step-by-step explanation:
If enrollment increases by approximately the same
percentage between 2000 and 2010 as it decreased
between 1950 and 1960, what is the expected
enrollment in 2010?
Answers
Given:
The enrollment increases by approximately the same percentage between 2000 and 2010 as it decreased between 1950 and 1960.
To find:
The expected enrollment in 2010.
Solution:
Percentage decrease formula:
[tex]\%\text{ decrease}=\dfrac{\text{Initial value - New value}}{\text{Initial value}}\times 100[/tex]
The percentage decrease in between 1950 and 1960 is:
[tex]\%\text{ decrease}=\dfrac{4-3.5}{4}\times 100[/tex]
[tex]\%\text{ decrease}=\dfrac{0.5}{4}\times 100[/tex]
[tex]\%\text{ decrease}=\dfrac{50}{4}[/tex]
[tex]\%\text{ decrease}=12.5[/tex]
The enrollment decreased by 12.5% between 1950 and 1960. So, the enrollment increases by 12.5% between 2000 and 2010.
The expected enrollment in 2010 is:
[tex]\text{Expected enrollment}=7+\dfrac{12.5}{100}\times 7[/tex]
[tex]\text{Expected enrollment}=7+0.875[/tex]
[tex]\text{Expected enrollment}=7.875[/tex]
Therefore, the expected enrollment in 2010 is 7.875 thousands.
Follow the process of completing the square
to solve 2x2 + 8x - 12 = 0.
After adding B2 to both sides of the equation in step 4, what is the constant on the right side of the equation?
Answers
2x^2 + 8x - 12 = 0..divide by 2
x^2 + 4x - 6 = 0
x^2 + 4x = 6...add 4 to both sides of the equation
x^2 + 4x + 4 = 6 + 4
(x + 2)^2 = 10....<== ur constant is 10
x + 2 = (+-)sqrt 10
x = -2 (+ - ) sqrt 10
x = -2 + sqrt 10
x = -2 - sqrt 10
Find the points of intersection of the graphs involving the following pair of functions.
f(x)=2x^2 + 3x - 3 and g(x) = -x^2
Answers
Answer:
The point of intersection is [tex]( \frac{-1\pm\sqrt{5}}{2}, 0)[/tex]
Step-by-step explanation:
f(x) = 2x^2 + 3x - 3 and g(x) = - x^2
By equating them
2x^2 + 3x - 3 = -x^2
3x^2 + 3 x - 3 = 0
x^2 + x - 1 = 0
[tex]x^2 +x - 1 = 0 \\\\x = \frac{-1\pm\sqrt{5}}{2}[/tex]
Frans paid R9600 as interest on a loan he took 5 years ago at 16% rate. What's was the amount he took as loan? Yeah
Answers
Answer:
5555 Lakh rupoes maybe hope it helps
The amount Frans took as loan = R12000
What is simple interest?"It is the interest that is only calculated on the initial amount of the loan."
Formula for simple interest:[tex]SI=\frac{P\times R\times T}{100}[/tex]
where, P: principal amount
T : period
R: rate of interest
For given question,
SI = 9600
T = 5 years
R = 16%
We need to find the principal amount.
Using simple interest formula,
[tex]\Rightarrow SI=\frac{P\times R\times T}{100}\\\\\Rightarrow P=\frac{SI\times 100}{R\times T}\\\\\Rightarrow P=\frac{9600\times 100}{5\times 16}\\\\\Rightarrow P=12000[/tex]
Therefore, the amount Frans took as loan = R12000
Learn more about the simple interest here:
https://brainly.com/question/22621039
#SPJ3
Finding probabilities associated with distributions that are standard normal distributions is equivalent to _______.
Answers
Answer:
finding the area of the shaded region representing that probability.
Step-by-step explanation:
In a normal distribution, standardardized probability is usually represented digramatically by a sketch which covers the area which always has a mean of 0 and a standard deviation of 1. The mean value is the midpoint of the area under the curve and has an equal difference of 1 to either side of graph which represents the standard deviation. The area of the shaded region under a normal probability curve represents the probability of associated with that particular standardized value.
Joanne's monthly salary is $2400.she spend's ⅒ of it on food and ⅜ of it on leisure activities.How much does she have left?
Answers
Answer:
1200$
please mark me as brain liest
If you vertically stretch the linear parent function, f(x) = x, by a factor of 5, what is the equation of the new function?
Answers
9514 1404 393
Answer:
f(x) = 5x
Step-by-step explanation:
Vertical stretch is accomplished by multiplying the function value by the stretch factor. f(x) = x is stretched by a factor of 5 by multiplying it by 5:
f(x) = 5x
Answer:
f(x)=5xStep-by-step explanation:
hope it helps much
X S2.0.2
A rocket is fired upward with an initial velocity v of 80 meters per second. The quadratic function S(t) = -52 + 80t can be used to find
the heights of the rocket, in meters, at any time t in seconds. Find the height of the rocket 8 seconds after it takes off. During the
course of its flight, after how many seconds will the rocket be at a height of 290 meters?
Answers
9514 1404 393
Answer:
320 m after 8 seconds5.6 seconds, 10.4 seconds to height of 290 mStep-by-step explanation:
To find the height at 8 seconds, evaluate the formula for t=8.
S(t) = -5t^2 +80t
S(8) = -5(8^2) +80(8) = -320 +640 = 320
The height of the rocket is 320 meters 8 seconds after takeoff.
__
To find the time to 290 meters height, solve ...
S(t) = 290
290 = -5t^2 +80t
-58 = t^2 -16t . . . . . . . divide by -5
6 = t^2 -16t +64 . . . . . complete the square by adding 64
±√6 = t -8 . . . . . . . . . take the square root
t = 8 ±√6 ≈ {5.551, 10.449}
The rocket is at 290 meters height after 5.6 seconds and again after 10.4 seconds.
The top and bottom ends of a windshield wiper blade are R = 24 in. and r = 14 in., respectively, from the pivot point. While in operation, the wiper sweeps through 135°. Find the area swept by the blade. (Round your answer to the nearest whole number.)
Answers
Answer:
Area swept by the blade = 448[tex]in^{2}[/tex]
Step-by-step explanation:
The arc the wiper wipes is for 135 degrees angle.
So, find area of sector with radius 24 inches. And the find area of arc with r=14 inches.
Then subtract the area of sector with 14 inches from area of sector with radius as 24 inches.
So, area of sector with r=24 in =[tex]\frac{135}{360} *\pi *24^{2}[/tex]
Simplify it,
=216[tex]\pi[/tex]
Now, let's find area of sector with radius 14 inches
Area of sector with r=14 in = [tex]\frac{135}{360} *\pi *14^{2}[/tex]
Simplify it
=73.5[tex]\pi[/tex]
So, area swept by the blade = 216[tex]\pi[/tex] -73.5[tex]\pi[/tex]
Simplify it and use pi as 3.14.....
Area of swept =678.584 - 230.907
=447.6769
Round to nearest whole number
So, area swept by the blade = 448[tex]in^{2}[/tex]