Please help!!! (Ignore the AD it’s actually supposed to be DC)
Answers
Answer:
BD = 22, DC = 11√3
Step-by-step explanation:
In triangle ABC, ∠B = 45°, ∠C = 90°. Hence:
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 45 + 90 = 180
∠A + 135 = 180
∠A = 45°
Using sine rule to find BC:
[tex]\frac{BC}{sinA}=\frac{AB}{sinC} \\\\\frac{BC}{sin45}=\frac{11\sqrt{2} }{sin90} \\\\BC=\frac{11\sqrt{2}*sin45 }{sin90} \\BC=11[/tex]
In triangle BCD, ∠D = 30°, ∠C = 90°. Hence:
∠D + ∠B + ∠C = 180° (sum of angles in a triangle)
∠B + 30 + 90 = 180
∠B + 120 = 180
∠B = 60°
Using sine rule to find BD:
[tex]\frac{BD}{sinC}=\frac{BC}{sinD} \\\\\frac{BD}{sin90} =\frac{11}{sin30} \\\\BD=\frac{11*sin90}{sin30}\\\\BD=22[/tex]
Using sin rule to find DC:
[tex]\frac{DC}{sinB}=\frac{BC}{sinD} \\\\\frac{DC}{sin60} =\frac{11}{sin30} \\\\DC=\frac{11*sin60}{sin30}\\\\DC=11\sqrt{3}[/tex]
Related Questions
What is the ordered pair for vertex R if triangle QRP is reflected across the x-axis.
Answers
Answer:
(2,-5)
Step-by-step explanation:
Answer:
(5, - 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
R(5, 2 ) → R'(5, - 2 )
An online clothing company sells custom sweatshirts. The company charges $4.99 for shipping plus $20 for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
Answers
Answer:
20x+4.99=y
Step-by-step explanation:
Each sweatshirt cost $20, but we don't know how many sweatshirts someone will buy so we use X, representing the amount of sweatshirts. There is a shipping charge of $4.99, so we have to add that to the cost of the sweatshirts. 20x+4.99. Y is the total cost.
The end point P of a line segment PQ(-3,6) and its mid point is (5,8) Find the coordinates of the end point Q
Answers
Answer:
(13, 10)Step-by-step explanation:
Let Q have coordinates x and y
Using midpoint formula we find the values of x and y
(- 3 + x)/2 = 5 ⇒ -3 + x = 10 ⇒ x = 10 + 3 ⇒ x = 13(6 + y)/2 = 8 ⇒ 6 + y = 16 ⇒ y = 16 - 6 ⇒ y = 10Q = (13, 10)....................
In the basket and 12 of them are oranges what percentage of the pieces of fruit in the basket or orange show your work in the box and circle your answer.
Answers
Answer:
60%
Step-by-step explanation:
There are 20 pieces of fruit in a basket and 12 of them are oranges what percentage of the pieces of fruit in the basket are orange show your work in the box and circle your answer
Total oranges in the basket = 20
Number of oranges = 12
what percentage of the pieces of fruit in the basket are orange
= Number of oranges / Total pieces of fruits × 100
= 12/20 × 100
= 0.6 × 100
= 60%
Percentage of the pieces of fruit in the basket that are oranges = 60%
Find the area of the figure.
Answers
Answer:
249.86 ft^2
Step-by-step explanation:
12.4 ft × 9.3 ft ÷ 2 = 57.66 sq ft(for triangle)
57.66+(12.4 ft×15.5 ft) = 249.86 sq ft
brainliest plz
WILL GIVE BRAINLYEST PLEASE HELP !
Answers
Answer:
d
Step-by-step explanation:
Make a conjecture regarding the line joining the midpoint of sides of a triangle
Answers
Answer:
A line drawn from the midpoint of one side of a triangle to it's opposite vertex would be an angle bisector of that vertex.
Step-by-step explanation:
Please I need help to find the Slope so I will be able to do the next step.
Answers
Answer:
1) 1/2
2) 2/1
3) -1/2
4) -2/1
Step-by-step explanation:
use two ordered pairs to find slope by using this formula:
difference of y-values over difference of x-values
example: for problem #1, I used points (0,3) and (2,4)
difference of y-values: 4-3 = 1
difference of x-values: 2-0 = 2
Slope is 1/2
In 1979, the price of electricity was $0.05 per kilowatt-hour. The price of electricity has increased at a rate of approximately 2.05% annually. If t is the number of years after 1979, create the equation that can be used to determine how many years it will take for the price per kilowatt-hour to reach $0.10. Fill in the values of A, b, and c for this situation. Do not include dollar signs in the response.
c=A(b)^x
Answers
The equation that can be used to determine the number of years it would take for the price to be $0.10 is 0.10 = 0.05(1.0205)^t.
What is the equation that models the increase?
The equation that would be used is an exponential equation. An exponential equation is used because the rate of increase is a compound growth.
Exponential equations usually have this form: FV = PV( 1 + r)^t
Where:
FV = future value PV = present value r = rate of growth t = time0.10 = 0.05(1.0205)^t.
To learn more about exponential functions, please check: https://brainly.com/question/26331578
#SPJ1
Answer number 1 plsssss
Answers
Answer:
At Z-Mart, after the discount it is 7/8 of the original price of 225,
at ABC Sports the final price is 200,
and at Bike World, after the discount it is 3/4 of the original price of 265
so
we multiply 225 by 7/8 to get 196.88,
which is lower than ABC Sports,
and then we multiply 265 by 3/4 to get 198.75, which is higher than Z-Mart
so Z-Mart or A) is correct.
Hope this helps! :D
(12 + 31). Find the midpoint m of 21 (8 + 5i) and 22 Express your answer in rectangular form.
Answers
Find the measurement of the exterior
A. 100°
B. 15°
C. 145°
D. 35°
Answers
Answer:
C
Step-by-step explanation:
(180- 80+65 = 35) sum of the angle in a triangle.
to get the exterior angle
180 - 35 = 145 (sum of angle on a straight line is 180)
...C. 145° on Ap3x.....
Find the area using sine rules.
Answers
Answer:
22.44 mi²Step-by-step explanation:
Step 1
Find the missing angle:
m∠H = 180° - (47° + 99°) = 34°Step 2
Find the missing sides by using the law of sines:
sin 34° / 5.9 = sin 47° / HP = sin 99° / HKHP = 5.9 sin 47°/sin 34° = 7.7 miHK = 5.9 sin 99° / sin 34° = 10.4 miStep 3
Use Heron's formula for the area:
A = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex], where s is semi-perimeter, and a, b, c - sidesFind s:
s = 1/2(5.9 + 7.7 + 10.4) = 12Find A:
A = [tex]\sqrt{12(12 - 5.9)(12 - 7.7)( 12 - 10.4)}[/tex] = 22.44 mi²HELP PLEASE!! i need help on A and B. PLEASE DONT ANSWER IF YOU DONT KNOW!!
Answers
( 2.5 , 11 )
( 5 , 11 )
( 4.5 , 8 )
( 2 , 8 )
( 7 , 11 )
( 7 , 8 )
( 12 , 11 )
( 4.5 , 6 )
( 4.5 , 2 )
( 2 , 2 )
( 2 , 6 )
( 8 , 2 )
( 8 , 6 )
( 11 , 1 )
( 11 , 7 )
Pls help me and thank you!
Answers
A dodecagon with a radius of 20 inches has an apothem of____ inches and a side length of _____ inches.
what are the length of the apothem and the side length?
Answers
Releas
Help me with this!!!!
Answers
Well the half point of 427 and 428 is 427.5 so 427.5.
Multiply (3x-5)(x+4)
Answers
Answer:
3x^2+7x-20
Step-by-step explanation:
Answer:
expand the brackets
3x^2 + 7x -20
Step-by-step explanation:
(3x-5)(x+4)
= 3x^2 + 12x - 5x + 20
= 3x^2 + 7x + 20
There are 55 pretzels in a 11-ounce bag of chocolate-covered pretzels. How many chocolate-covered pretzels in a 5 ounce bag? Answer so I know what you're talking about.
Answers
Answer:
11
Step-by-step explanation:
55/5=11
hope it helps!
The Great Pyramid of Cheops is a square-based pyramid. The base has sides of 230m, and a height of 147m.
Using the same material, what would the height be if you gave the base sides of 250m?
height = ___m
Answers
does the y axis represent a function
Answers
Hannah baked twice the number of cookies Sam baked. Sam baked 36 cookies. Let c represent the number of cookies Hannah baked.
Which equation shows an equality between two different ways of expressing how many cookies Sam baked?
A. 36 = c – 2
B. 36 = c + 2
C. 36 = c ÷ 2
D. 36 = c x 2
Answers
Answer:
From what I understood u write 2 ways of how many cookies hannah has
Maybe
36×2
36+36
Step-by-step explanation:
Harpo, Groucho, Chico, Zeppo, Gummo, Karl, and Skid have won three tickets to the opera. They will randomly choose three people from their group to attend the opera. How many outcomes are possible?
Answers
Answer:
35
Step-by-step explanation:
This is a combination problem therefore we need to use the combination formula using factorials, plug in the values for n and r which would be 7 since there are 7 individuals in the group and 3 because we are making outcomes of 3.
C(n,r)=C(7,3)
=7!(3!(7−3)!)
=7!3!×4!
= 35
Finally, we can see that the total number of possible outcomes is 35
Helppppp i need help ASAP
Answers
Answer:
a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour
I’ll mark brainliest
Complete the statment with the best choice
All trapezoids are also
_________________.
a. squares b. parallelogram c. rectangles d. quadrilaterals
Answers
Answer:
d
Step-by-step explanation:
find f(4) if f(x) = x - 6
Answers
f(4)= (4) - 6 = -2
Alice has taken a job with a starting salary of $17,600 and the annual raise of $850. What will her salary be on the 5th year of her job?
Answers
Answer:
21,850
Step-by-step explanation:
850 x 5 = 4,250
17,600 + 4250 = 21,850
2
,
8
,
−
32
,
.
.
.
Answers
Answer:
2,8,32,96
Here common ratio is 3
Step-by-step explanation:
At a really nice
restaurant, Seiji
wanted to leave a
20% tip for the
outstanding waiter.
The bill was $75.64.
SHOW WORK!!!
Answers
Answer:
tip = $15.128
Step-by-step explanation:
tip = 75.64 × 20/100
tip = 1512.8/100
tip = $15.128
Please help.
Is algebra.
Answers
Answer:
Step-by-step explanation:
a solution is where both of the lines meet. or they have the same point on each line. so you can set the equation of each line equal to the other.
for this "solution" just look at the graph and see where the two lines meet.. and find the x coordinate of that point.
I see it meeting at x =2 get it?