Answer:
DCB = 44 degree
Step-by-step explanation:
DAB (given = 100
(180-100 ) / 2 = 40
ADB = ABD = 40 degree (each)
ADC (given = 108
BDC = DBA = 108-40 = 68 degree;
(subtracting angle inscribed within another triangle)
Triangle DBC = 180- 68+68 = 180 - 136 = 44 degree
Find DCB We have found BDC and DBA by deducting ADB from ADC
to get BDC
Then we deduct BDC from ADC to get DCB
Find the area of this triangle round to the nearest tenth
Answer:
128.08 in^2
Step-by-step explanation:
A=1/2 ab SinC
=1/2×11×24×Sin 76
The area of given triangle is 128.1 square inches.
What is area of SAS triangle?The area of a SAS triangle is the total amount of space it encloses in a 2-dimensional plane. "SAS" which means "Side, Angle, Side", is the property of a triangle whose 2 sides and the angle between these sides is given.
The formula to calculate the area of a triangle using SAS is given as,
1. When sides 'b' and 'c' and included angle A is known, the area of the triangle is: 1/2 × bc × sin(A)
2. When sides 'b' and 'a' and included angle B is known, the area of the triangle is: 1/2 × ab × sin(C)
3. When sides 'a' and 'c' and included angle C is known, the area of the triangle is: 1/2 × ac × sin(B)
Given
a = 24 inches
b = 11 inches
∠C=76°.
Area of SAS triangle = [tex]\frac{1}{2} absinc[/tex]
Area = [tex]\frac{1}{2}(24)(11)sin76^{0}[/tex]
Area = 128.079 ≅ 128.1 (nearest tenth)
Hence, the area of given triangle is 128.1 square inches.
Find out more information about area of SAS triangle here
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f(x)=x-7/x
What is the domain of f?
Answer:
domain: {x ≠ 0}
Step-by-step explanation:
PLS HELP 80 POINTS AND BRAINLIEST What is the surface area of the rectangular prism below?
17 yd²
84 yd²
108 yd²
168 yd²
Answer:
168 yd²
Step-by-step explanation:
1) Dark Grey:
[tex]A_1 = 2(2 * 9) = 2* 18 = 36\ yd^2[/tex]
2) Light Grey:
[tex]A_2 = 2(2*6) = 2*12 = 24\ yd^2[/tex]
3) Whitish-Grey:
[tex]A_3 = 2(6*9) = 2 * 54 = 108\ yd^2[/tex]
4) Total Area:
[tex]A = A_1 + A_2 + A_3 = 36 + 24 + 108 = 168\ yd^2[/tex]
PLEASE HELP ASAP PLEASE I'VE BEEN UP ALL NIGHT TRYING TO DO IT I DON'T UNDERSTAND PLZ HELPP!!
Answer:
Angle COD=40
Step-by-step explanation:
(2a+62)+ (54-a)+(5a-20)=180
6a+96=180
6a=84
a=14
Angle AOC=2(14)+62=90
Angle COD=54-14=40
Angle DOB=5(14)-20=50
Answer:
Angle COD, 40 degrees
Step-by-step explanation:
Alrighty, to start, Angle AOB is a 180 degree angle because it is a line.
Therefore, if we combine all of the variables and numbers together, we can set it equal to 180 degrees to find a.
2a+62+54-a+5a-20
6a+96=180
6a=84
a=14
Next, plug in this value into each of the given angles provided with variables and numbers:
Angle AOB:
2a+62
2(14)+62
28+62
90 degrees
Angle COD:
54-a
54-14
40 degrees
Angle DOB:
5a-20
5(14)-20
70-20
50 degrees
From this, it can be found that Angle COD has the smallest angle, with it being 40 degrees.
Luke is driving from his house to the store. After driving 16 miles at a constant speed of 0.8 mile/minute, he realizes that he forgot his wallet. So, he turns around and drives all the way back to his house at the same speed. The equation below models Luke's distance, in miles, from home as he drives for t minutes. Using the given equation, match the number of minutes since Luke started driving from his house to his distance from the house. 12 minutes 27 minutes 31 minutes 7 minutes 10.4 miles on his return trip arrowRight 5.6 miles on his trip to the restaurant arrowRight 9.6 miles his trip to the restaurant arrowRight 7.2 miles on his return trip arrowRight
Answer:
The number of minutes since Luke started driving from his house to his distance from the house is 40 minutes. :)
Step-by-step explanation:
help me on this plz and thank you
By solving for x you get x=6
Answer:
x = 6
Step-by-step explanation:
12x = 72
72/12 = 6
x = 6
Can someone please help with this math problem
Given:
The function is:
[tex]y=(f(x))^2[/tex]
To find:
The derivative of the given function at x=1, i.e., y'(1).
Solution:
Chain rule of differentiation:
[tex][f(g(x))]'=f'(g(x))g'(x)[/tex]
We have,
[tex]y=(f(x))^2[/tex]
Differentiate with respect to x.
[tex]y'(x)=2(f(x))\dfrac{d}{dx}f(x)[/tex]
[tex]y'(x)=2f(x)f'(x)[/tex]
Putting [tex]x=1[/tex], we get
[tex]y'(1)=2f(1)f'(1)[/tex]
From the given table of values it is clear that f(1)=3 and f'(1)=3. Putting these values in the above equation, we get
[tex]y'(1)=2(3)(3)[/tex]
[tex]y'(1)=18[/tex]
Therefore, the value of y'(1) is 18.
9) The present ages of Juna and Jubin are in the ratio 5:8. After 4 years the sum
of their ages will be 34. Find their present ages.
Answer:
Present age of Juna = 10 years
Present age of Jubin = 16 years
Step-by-step explanation:
Ratio of present ages = 5: 8
Let the present ages of:
Juna be 5x years and Jubin be 8x years
(where x is the common multiplier of the given ratios)
Four years after:
Juna's age = (5x + 4) years
Jubin's age = (8x + 4) years
According to the question:
(5x + 4) + (8x + 4) = 34
13x + 8 = 34
13x = 34 - 8
13x = 26
x = 26/13
x = 2
5x = 5*2 = 10 years
8x = 8*2 = 16 years
Hence,
Present age of Juna = 10 years
Present age of Jubin = 16 years
cions: Write the decimal as a percent and as a fraction or mixed number in simplest
0.15
0.9
0.02
some body help meee!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
This is a vertical line.
Vertical lines are of the form x= since the x value does not change
x=3
The radius of a sphere is 3 inches. Which represents the volume of the sphere? o 12pie cubic inches 36pie cubic inches O 64pie cubic inches 81pie cubic inches
Answer:
36 pie cubic inches
Step-by-step explanation:
Use the formula: [tex]V = \frac{4}{3} \pi r^{3}[/tex]
Plug in the value for radius and solve:
[tex]V = \frac{4}{3} \pi 3^{3}[/tex]
Becuase of the nature of the answer options, you only have to solve to a certain point: [tex]V = 36 \pi[/tex]
At football games, Stagg Boosters charges $2 for hot chocolate and $3 for Gatorade. The boosters sold
126 drinks totaling $306. How many hot chocolates did they sell?
Pleas help!
Answer:
72 hot chocolates
Step-by-step explanation:
2h + 3g=306 equation 1 h=hot chocolate g=Gatorade
h + g =126. equation 2
h=126-g isolate h in equation 2
2(126-g) + 3g =306 substitute h value of equation 2 (126-6) into h value eq 1
252-2g+3g=306
g=54
solve for h:
h + g = 126
h+54=126
h=72
check answer:
2h + 3g=306
2(72) +3(54)=306
144+162=306
306=306
picture included-11 points
Answer:
Using the Pythagoras theorem, we have:
[tex]c = \sqrt{a {}^{2} + b {}^{2} } [/tex]
with a = 5, b = 6, we have:
[tex]c = \sqrt{5 {}^{2} + 6 {}^{2} } = \sqrt{61} [/tex]
Need help quick thank you in advance
Answer:
eeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrm i have no idea
Step-by-step explanation:
#1
Solving for x only
[tex]\\ \sf\Rrightarrow x+90+55=180[/tex](Linear pair
[tex]\\ \sf\Rrightarrow x+145=180[/tex]
[tex]\\ \sf\Rrightarrow x=35°[/tex]
#2
[tex]\\ \sf\Rrightarrow x+32=90[/tex]
[tex]\\ \sf\Rrightarrow x=90-32=58°[/tex]
And
[tex]\\ \sf\Rrightarrow y+x=90°[/tex]
[tex]\\ \sf\Rrightarrow y=90-58=32°[/tex]
250 grams of flour cost $ 17 .00 . how muchnwill 3 bags each holding 1.5kg of flour cost
Answer:
$51.00
Step-by-step explanation:
One bag price multiply it number of price bag wanted $17.00 × 3 =$51.00
HELP ME PLEASEEEEEEEEEEEE
Answer:
1080 in^2
Step-by-step explanation:
Answer:
180 in^2
Step-by-step explanation:
A 12" wide by 30" flag has the area A = (1/2)(base)(height) square inches, or 180 square inches.
what directed number is suggested by the statement "I gained 3 pounds "?
Answer:
The directed number suggested is +3.
Step-by-step explanation:
A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.
From the given question, let the initial weight be represented by W, then:
I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.
i.e I gained 3 pounds ⇒ W + 3
So that the directed number suggested by the statement is +3.
Plz help me well mark brainliest if correct!....
Answer:
the answer to the question is A
This figure shows two identically sized posters that need to be hung on a
10-foot-wide wall.
How far apart, in feet, should each poster be for x to be the same distance
at all three places
Answer: 2.5 ft
Step-by-step explanation: Add 1 1/4 + 1 1/4 = 2.5
Subtract 2.5 ft from 10 ft = 7.5 ft divided by 3 places = 2.5 ft
To check answer: 2.5ft + 2.5ft + 2.5ft + 1 1/4ft + 1 1/4ft = 10 ft
The distance between the two identically sized posters should be 2,5 ft at all three places.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
Let x be the distance between the two identically sized posters.
Add 1 1/4 + 1 1/4 = 2.5
The total length of the given wall is 10 ft.
here, the equation formed as
x + x +x + 2.5 = 10
3x + 2.5 = 10
3x = 10 - 2.5
3x = 7.5
x = 2.5
So, The distance between the two identically sized posters should be 2,5 ft at all three places.
Learn more about linear equations;
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can anybody help me please
Answer:
[tex]the \: forth \: answer \: is \: correct \: answer[/tex]
If (x, 0) lies on the graph of y = logbx , then x =
1
B
0
Answer:
1
Step-by-step explanation:
Use grid paper to find the median of the data. 16, 24, 13, 36, 22, 26, 22, 28, 25 will give Briainelst
Answer:
24
Step-by-step explanation:
put them in ascending order then cross of one each side still you reach the middle
Two cyclists start at the same point and travel in opposite directions. One cyclist travels 10 kmh faster than the other. If the two cyclists are 162 kilometers apart after 3 hours, what is the rate of each cyclist?
The circumference of a circle 25.12ft. What is the circle’s diameter (take =3.14
Answer:
Diameter = 8 ft
Step-by-step explanation:
To find diameter, we need to work backwards from the formula for circumference of a circle.
Circumference = 2πr
given that π = 3.14
Circumference = 2*3.14*r
25.12 = 2*3.14*r
25.12 = 6.28 * r
4 = r
Radius = 4
Formula for Diameter =
D = 2r
D = 2*4
D = 8
Diameter = 8
Lets Check
Circumference = 2 * 3.14 * 4
Circumference = 25.12
Correct
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Solve for each unknown angle measure...
Please help! This a a test btw so please give me the right answer!
Answer:
because l1//l2 => z + 65 = 180
y + 65 = 90
x + 65 = 90
<=> z = 115
y = 25
x = 25
Answer:
x=25
y=25
z=115
Step-by-step explanation:
x congruent to y
180-90-65=25
180-65=115
Verify: 4tan(θ)sec(θ) = (1+sin(θ)/1−sin(θ)) − (1−sin(θ)/1+sin(θ))
Working with the right side,
(1 + sin(θ))/(1 - sin(θ)) - (1 - sin(θ))/(1 + sin(θ))
multiply the first term by (1 + sin(θ))/(1 + sin(θ)) and the second one by (1 - sin(θ))/(1 - sin(θ)). This gives
(1 + sin(θ))/(1 - sin(θ)) • (1 + sin(θ))/(1 + sin(θ)) = (1 + sin(θ))^2 / (1 - sin^2(θ))
… = (1 + sin(θ))^2 / cos^2(θ)
and
(1 - sin(θ))/(1 + sin(θ)) • (1 - sin(θ))/(1 - sin(θ)) = (1 - sin(θ))^2 / (1 - sin^2(θ))
… = (1 - sin(θ))^2 / cos^2(θ)
Now combine the fractions, expand the numerator, and simplify:
(1 + sin(θ))^2 / cos^2(θ) - (1 - sin(θ))^2 / cos^2(θ) = ((1 + sin(θ))^2 - (1 - sin(θ))^2) / cos^2(θ)
… = ((1 + 2 sin(θ) + sin^2(θ)) - (1 - 2 sin(θ) + sin^2(θ))) / cos^2(θ)
… = 4 sin(θ) / cos^2(θ)
… = 4 • sin(θ)/cos(θ) • 1/cos(θ)
… = 4 tan(θ) sec(θ)
The formula for the area of a triangle is A = (1/2)(b)(h), where A is the area, b is the base, and h is the height.
Find the base of a triangle if its area is 279 square inches and its height is 18 inches.
The answer is 31
Step-by-step explanation:
A = 1/2 bh
279= 1/2b x 18
558 = 18b we divided both side by 18
b=31
don invested $ 5 000 in an account paying 5% simple interest per year for 7 years. a) how much interest will don earn at the end of 7 years?b) how much will be in Don's account at the end of 7 years?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Initial investment (P)= $5,000
Interest rate (r)= 5% simple interest
Number of periods (t)= 7 years
To calculate the interest earned, we need to use the following formula:
I= P*r*t
I= 5,000*0.05*7
I= $1,750
To calculate the future value of the investment, we need to use the following formula:
FV= I + P
FV= 1,750 + 5,000
FV= $6,750
8. If KITE is a kite, find the value of x and y.
A)x=5, y=5
B)x=3, y=5
C)x=8, y=3
D)x=3, y=8
Answer:
x = 3; y = 8
Step-by-step explanation:
Sides KI and KE are congruent.
4x = 12
x = 3
Sides IT and ET are congruent.
3y - 4 = 20
3y = 24
y = 8
Answer: x = 3; y = 8
Which of the following values are in the range of the function graphed below?
Check all that apply
Answer:
6
Step-by-step explanation:
I Just answered the question on my test