ABC and ADC are triangles. The area of triangle ADC is 52m^2. Work out the length of AB
Answers
Answer:
Tthe length of AB is 13.6 cm
Step-by-step explanation:
Step 1: calculate length CD using the area of a triangle
[tex]A = \frac{1}{2} \times (AD \times CD) \times \ sine (D)\\\\52 = \frac{1}{2} \times (12 \times CD) \times \ sine (102)\\\\52 = 6CD \times 0.978\\\\52 = 5.868CD\\\\CD = \frac{52}{5.868} \\\\CD = 8.862 \ cm[/tex]
Step 2: calculate length AC using Cosine rule;
[tex]AC^2 = AD^2 + CD^2 - 2(AD \times CD)cos (D)\\\\AC^2 = 12^2 + 8.862^2 - 2(12 \times 8.862)cos(102)\\\\AC^2 = 222.535 - 2(-22.11)\\\\AC^2 = 222.535 + 44.22\\\\AC^2 = 266.755\\\\AC = \sqrt{266.755} \\\\AC = 16.33 \ cm[/tex]
Step 3: Apply sine rule to calculate length AB;
[tex]\frac{AB}{sin \ 46} = \frac{AC}{sin \ 120} \\\\AB = \frac{sin \ 46 \ \ \times \ \ AC}{sin \ 120} \\\\AB = \frac{sin \ 46 \ \ \times \ \ 16.33}{sin \ 120} \\\\AB = 13.56 \ cm \\\\AB = 13.6 \ cm[/tex]
Therefore, the length of AB is 13.6 cm
Related Questions
Julle goes to several grocery stores and researches the price of a 12 oz bottle of juice.
Find the mean, median, and mode of the prices shown.
Answers
Answer:
i thr 10 dollers would be ear by 1 thousand
Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answers
Answer:
4
Step-by-step explanation:
14 in.
2 in.
2 in. -
3 in.
3 in.
The volume of the figure
is
cubic in.
PLEASE
Answers
Answer: 68 cubic inches
Step-by-step explanation:
basically the volume of the rectangular prism would be 2 x 2 x 14, so that's 56. Then the area of the triangular prism is 3 x 2 x 2, divided by 2, which is 6. There are two triangular prisms so that' 12. 56 + 12 is 68. That's the answer
Answer:
[tex]v=68~in^2[/tex]
❁❁❁❁❁❁❁
[tex]Volume=[/tex]
[tex]2(1/2*2*3)[/tex]
[tex]+ (2*2*14)[/tex]
[tex]+2(1/2*2*3) in[/tex]
[tex]=(6+56+6)in[/tex]
[tex]= 68in^2[/tex]
⋅•⋅⋅•⋅⊰⋅•⋅⋅•⋅∙∘☽༓☾∘∙•⋅⋅•⋅⋅⊰⋅••⋅⋅•⋅
hope it helps...
have a great day!!
what's the factor of 18 and the sum of -9?
Answers
-6-3= -9
Answer:
Do you really mean by -9 or cause I'm just confused but if you meant by 19 then this could help. I had my mom do whatever she could put as the answer so yeah
Step-by-step explanation:
a*b=18 ____[1]
a+b=19____[2]
[2] a=19-b ___[3]
put [3] in [1]
(19-b)*b = 18
19b-b^2 = 18
b^2-19b+18 = 0
(b-18)(b-1) = 0
so b=18 or b=1
if b=18 then a=19-18=1
if b=1 then a=19-1=18
SO two factors are 1 and 18
find a:c and a:b:c of a:b =4:5, b:c=3;5
pls ans with explanation
Answers
Here's the solution,
a : b = 4 : 5
b : c = 3 : 5
now, we can combine the ratios if the value of b is equal in both of them, and we have to make sure it's the minimum value since we have to obtain it in the simplest form, so let's take the L.C.M of b in both proportions .
L.C.M of b in both ratios is 15
so
ratio 1.)
a : b = 4 : 5 a : b = 12 : 15( just multiplied both numbers by 3 to make b = 15 )
ratio 2.)
b : c = 3 : 5b : c = 15 : 25( just multiplied both numbers by 5 to make b = 15)
now, simply combine the equations to get,
a : b : c = 12 : 15 : 25
and hence,
a : c = 12 : 25
260.94 in word form ! i really need help w this !!
Answers
Answer:
Two hundred sixty and ninety-four hundredths
Step-by-step explanation:
hope this helps
Answer:
two hundred sixty and ninety-four hundredths
Step-by-step explanation:
Help! Ty in advance
Answers
Answer:
d
Step-by-step explanation:
The net represents a model of a storage container for sewing needles.
A net has 2 rectangles with length of 25 millimeters and height of 8 millimeters. 2 rectangles have a length of 25 millimeters and height of 5 millimeters. 2 rectangles have a length of 8 millimeters and height of 5 millimeters.
Which statements about the net are true? Check all that apply
If the smallest two faces are not included, the surface area of the model will be 645 square mm.
If the smallest two faces are not included, the surface area of the model will be 650 square mm.
If the smallest two faces are not included, the surface area of the model will be 665 square mm.
The surface area of the model is 730 square mm.
The surface area of the model is 725 square mm.
The surface area of the model is 745 square mm.
If one of the largest faces is not included in the model, the surface area will be 530 square mm.
If one of the largest faces is not included in the model, the surface area will be 545 square mm.
Answers
Answer:
B. If the smallest two faces are not included, the surface area of the model will be 650 square mm.
D. The surface area of the model is 730 square mm.
G. If one of the largest faces is not included in the model, the surface area will be 530 square mm.
The statement B, D,and G is correct for the surface area of the model.
We have given that,
The net represents a model of a storage container for sewing needles.
We have to determine which statements about the net are true.
What is the surface area?The surface area of a three-dimensional object is the total area of all its faces. In real-life we use the concept of surface areas of different objects.
Therefore the true statements are,
B. If the smallest two faces are not included, the surface area of the model will be 650 square mm.
D. The surface area of the model is 730 square mm.
G. If one of the largest faces is not included in the model, the surface area will be 530 square mm.
To learn more about the surface area visit:
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PLEASSSSEE HURRRRY HELLPP
Answers
Answer:
I believe your answer for 11. is B! And for 12 its E and C! 13 I think its D I'm not sure though!
4) A zoologist was checking the weights of three gorillas. Gorilla A weighed 559 pounds, gorilla B weighed 827 pounds and gorilla C weighed 130 pounds. What is the combined weight of all three gorillas?
Answers
Answer:
1,516 pounds
Step-by-step explanation:
Gorilla A weighed = 559 pounds Gorilla B weighed = 827 pounds Gorilla C weighed = 130 pounds
Total weight of the gorillas = gorilla A + gorilla B + gorilla C
= 559 pounds + 827 pounds + 130 pounds
= 1,516 pounds
Total weight of the gorillas = 1,516 pounds
Compare and contrast the Division Property of Equality and the Division Property of Inequality
O A The two properties are exactly the same.
B. The two properties are exactly the same when dividing by a positive number. For the Division Property of Inequality, dividing by a negative
number causes the relation symbol to change. Dividing both sides of an equation by a negative number does not have an effect on the equal
sign
OC. The two properties are exactly the same when dividing by a negative number. For the Division Property of Inequality dividing by a positive
number causes the relation symbol to change. Dividing both sides of an equation by a positive number does not have an effect on the equal
sign
D. The two properties are exactly the same when dividing by a positive number for the Division Property of Equality, dividing by a negative
number causes the equal sign to change. Dividing both sides of an inequality by a negative number does not have an effect on the relation
symbol
Answers
Answer:
C
Step-by-step explanation:
Joe and Steve went to a chocolate shop and got some fudge. The fudge cost $32 per kilogram. Joe ordered 75 grams of fudge. Steve ordered 235 grams of fudge. How much did each person pay? How much MORE did Steve pay than Joe?
Answers
Answer: Joe paid $2.4; Steve paid $7.52
Steve paid $5.12 more than Joe
Step-by-step explanation:
Cost of I Kg fudge = $32
But we know that 1 kg =1000g
That is to now say that
Cost of 1000g of fudge = $32
a)
If Joe ordered 75 grams of fudge then he paid
Now 1000g of fudge = $32
75g of fudge will cost =75 x 32 /1000 =$2.4
also .
b) 235 grams of fudge ordered by Steve will cost
235 x 32 / 1000=$7.52
Therefore, Steve paid $5.12 ($7.52-$2.4) more than Joe
please help. thanks sm
Answers
Answer:
A
Step-by-step explanation:
Can you give me a branlist if I get this question right?
Answer:
40y² - 15y
Step-by-step explanation:
5y¹×8y¹=40y²
5×-3=-15
please answer fast and correct
Answers
Answer:
1 no answer is 20
i think it is blue colour
Step-by-step explanation:
Answer:
1) 2,000,000cm ÷ 1000 = 2000m ÷ 1000 = 2Km
2)Blue
4
20.9÷10
10 points pls help
Answers
Answer:
SO first we need to get our numbers.
WE see 20.9 and 10.We learned in school that when
you multiply decimals itll show the placr its in.
So it basically shows you the answer.
Now lets divide, 20.9 divided by 10=2.09
Hope this helped my g!
Step-by-step explanation:
Please help. I have no clue and this is due in 15 min. Any help appreciated
Answers
Answer:
the value of x is 9 degree
arc JK =68 degree
arc MJ=112 degree
i think the value of arc LMK is 180 degree(not sure)
Step-by-step explanation:
Hope it helps yuo!!
100 POINTS!!!
If you give an answer saying you don’t know or an incomplete answer I will report you. Will mark brainliest to best help.
#2 Show the steps to find any asymptotes or holes in the function.
Y=(2x-3)(x+4)/(x-4)(x+4)
Answers
Answer:
Refer the attachment
Hope its helpful for you
llHappiest♡WriterllQuestion 15 (1 point)
A teacher has a bag of marbles. There are 10 red, 10 blue, 8 green, 8 purple, and 8
yellow marbles in the bag. As the students enter the classroom, they draw a marble
and keep it. If the first student in the room draws a yellow, and the second draws a
blue, what is the probability that the third student will draw a green?
19%
O 21%
15%
17%
Previous Page
Next Page
Page 15 of 16
Answers
Answer:
19%
Step-by-step explanation:
(8/42) * 100 = 19%
Thenks and mark me brainliest :))
Answer:
The probability that the third student will draw a green is 19%.
Step-by-step explanation:
Definition of Probability Probability means possibility of occurrence. It is a branch of mathematics which deals with the occurrence of particular event out of some random events.Given marbles 10 red, 10 blue, 8 green, 8 purple, and 8 yellow marbles .
Therefore total marbles will be 44.
Since the first student in the room draws a yellow, and the second draws a blue ,thus remaining marbles will be 42.
So, the probability that the third student will draw a green is [tex]\frac{8}{42}[/tex]×[tex]100\\[/tex] = 19%
click here to know more about the probability.
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19 x 19^3
solve and answer
Answers
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]19 \times {19}^{3} \\ = 19 \times (19 \times 19 \times 19) \\ = 19 \times 19 \times 19 \times 19 \\ = 130321[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Answer:
130321
Step-by-step explanation:
all you gotta do is look it up homie ;)
solve the equation using the quadratic formula
2n^2+3n=-54
a) {4,-9}
b) {6,-2}
c) {9,-3}
d) {-4 1/2, 6}
Answers
Answer:
Step-by-step explanation:
Rewrite this quadratic equation in standard form: 2n^2 + 3n + 54 = 0. Identify the coefficients of the n terms: they are 2, 3, 54.
Find the discriminant b^2 - 4ac: It is 3^2 - 4(2)(54), or -423. The negative sign tells us that this quadratic has two unequal, complex roots, which are:
-(3) ± i√423 -3 ± i√423
n = ------------------- = ------------------
2(2) 4
The faces of a 6-sided number cube are labeled 1 through 6. If you roll a pair of number cubes, what is the
probability that both will come up on the number 6?
Answers
Answer:
edyg 6multiply by 7 each other
Which number line shows the solution to this inequality??
Pls help it’s very easy !!
Answers
a,b,c,or d !? please help
Answers
Answer:
b
Step-by-step explanation:
PLEASE HELP ME ON THIS
Answers
hello please help i’ll give brainliest
Answers
Answer:
LandslideStep-by-step explanation:
As,
Landslide, also called landslip, the movement downslope of a mass of rock, debris, earth, or soil (soil being a mixture of earth and debris).
Landslides occur when gravitational and other types of shear stresses within a slope exceed the shear strength (resistance to shearing) of the materials that form the slope.
Answer:
Landslide
Hope this helps. Plz give brainliest
help! :))))))) :00000
Answers
Answer:
I think D
Step-by-step explanation:
Answer: a
Step-by-step explanation:
4+8=12
which inequality is graphed in red
Answers
Answer:
y>x-2
Step-by-step explanation:
When we see an inequality on a coordinate plane, we first treat it like a linear equation. The red inequality, or the red line, clearly has a positive slope. One can assume that this slope is 1. This line is also 2 units down, making the inequality x-2. There you have it!
Furthermore, we can tell it is the 1st choice because the line is dashed. In inequalities, the line is only dashed when the inequality contains < or >. Also, the shading is "above" the line, meaning the y must be greater than the line.
Please help asap. I can't remember how to work this problem. 50 points.
Find the area of the following shape. You must show all work to receive credit.
Answers
Answer:
Step-by-step explanation:
66 Square Feet I think?
need help ASAP PLEASEEE
(+105) / (-7)
Answers
Answer:
-15
Step-by-step explanation:
Answer:
the answer is 15 and 0 remainder
Step-by-step explanation:
I WILL MARK U AS BRAINLIST IF YOU HELP ME!!!!!!!!!!!!!
A family buys 9 tickets to a show. They also pay a $3 parking fee . They spend $30 to see the show . Make an equation where a variable represents the cost per ticket . And then solve the equation.
Answers
Answer:
let ticket be t.
no of t=9
parking fee be p=$3
Equation is:
9t+p=$30
9t+$3=$30.
9t=$30-$3
t=$27/9
t=$3
The cost per ticket is $3.