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
2. Find the missing side length.
Round answers to the nearest tenth.
13
29°
Х
Answers
Answer:
50
Step-by-step explanation:
Since it's a right angle, it's automadically 90 degrees. Add 29 + 13 which gives you 42. 90 - 42 gives you 48. Rounded to the nearest 10th is 50. Here's what I explained in numerical form:
29 + 13 = 42
90 - 42 = 48
Five or more raise the score. For or less turn to zero:
48
8 is larger than 5 so you add "plus 1" to the next number:
50
ABCD is a trapezoid. The coordinates are A(-4, -1), B(0,3), C(8,3) and D(8, -1). Find the length of the midsegment of the trapezoid.
Answers
Answer:
the length od the midsegment is 10
Step-by-step explanation:
8+12/2=20/2=10
you can buy 5 pounds of grapes for $9.95. WRITE a proportion that gives the cost C if you buy 4 pounds of grapes.
Answers
What are the solutions to the system of the equations graphed below?
Answers
Answer:
D
Step-by-step explanation:
Where the graphs intersect each other is where the solution is. The graphs intersect each other at the points (0,-8) and (4,8). Hope this helps!
HELP I NEED THIS ITS DUE IN AN HOUR!!!!
In ARST, the measure of ZT=90°, the measure of ZR=25°, and ST = 7.3 feet. Find the length of TR to the nearest tenth of a foot.
Answers
Step-by-step explanation:
ctg (25) = x / 7.3
2.1445 = x/ 7.3
x = 2.1445*7.3
x = 15.654
if anyone needs any help from any grade i can help you
Answers
Answer:
I always need help with math..
Step-by-step explanation:
:)
Answer:
i need help on my most recent question
Step-by-step explanation:
please help with these
Answers
Answer:
Ste“Information science is the science and practice dealing with the effective collection, storage, retrieval, and use of information. It is concerned with recordable information and knowledge, and the technologies and related services that facilitate their management and use.
p-by-step explanation:
Padma buys a coat for $32.95 and a pair of shoes for $16.45. She is charged 5% sales tax.
What is the total cost of Padma’s purchases?
A. $47.81
B. $51.87
C. $53.46
D. $57.92
Answers
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
What is the measure of
Answers
Answer: measure of what ?
Step-by-step explanation:
Write a linear function rule for the data in the table
x 0 1 2 3 4 5
f(x) -4 -2 0 2 4 6
Answers
y = 2x - 4
Find the Area of this shape. 3in, 4in, 5in. PLS HELP ASAP
Answers
Answer:
I think it is 12 inches
Step-by-step explanation:
i hope this helped, if it didn't, i am sorry
The Great Pyramid in Giza, Egypt is a square-based pyramid. It was constructed in 2056 BC out of lime stone. The length of one side of the base was 755 feet, it had a height of 481 feet and a slant height of 610 feet. About how much interior space did the Egyptians have to place the tombs and worship their beloved leaders?
Answers
Answer:
i think its 274,182,025 cubic feet
Step-by-step explanation:
.
The diameter of a circle is 4 yards. What is the circle’s area?
Use 3.14 for pi
Answers
Answer:
12.566 yd
Step-by-step explanation:
Determine whether the given variable is a solution to an inequality: t < 7 t = 8 *
Solution
Not a Solution
Answers
Answer:
Not a solution
Step-by-step explanation:
If t equals 8 in the inequality t<7, then the statement is not true. Therefore, it cannot be a solution. The symbol, <, in the inequality stands for "less than." This means if the inequality were is be written in words it would say, t is less than 7. Then, if you substituted 8 for t you could see what the inequality really meant; 8 is less than 7. This is an obviously false statement, so 8 cannot be a solution.
Which statement describes the graph of y = -2?*
Answers
Answer:
It is parallel to x axis
Step-by-step explanation:
which measurement is closest to the volume of the cone in cubic centimeters??
Answers
Answer:
65.94 cm
Step-by-step explanation:
Answer:
66
Step-by-step explanation: I took the test
How many small cubes are needed to to completely fit in this rectangular prism?
Answers
Answer:
it has to be over 100
Step-by-step explanation:
i think this because if the 1 fraction cube is 1/3*1/3*1/3 big and the cube itself is 2 1/3*3 2/3*3 times long you would have to multiply that and the answer you get for the both of them divide them and see what you get
which would be 693.000000133
Hey guys I need help; will mark brainliest
The radius of a truck tire is 11 inches. Approximately how far will the truck have traveled after 3 rotations of these tires? Use 3.14 for . Round to the nearest tenth.
Answers
Answer:
207.2in
Step-by-step explanation:
Hey There!
So to solve this problem we need to find the circumference of the circle and multiply that by 3 because that is how many rotations the tire would have made
C=2πr
where r = radius
Now we plug in the values
C=2(3.14)11
3.14*2=6.28
6.28*11=69.08
So one full rotation would have traveled 69.08 inches
Now we have to multiply that by 3 becasue they want us to find the distance traveled after three rotations
3*69.08=207.24
Now we round to the nearest tenth
so after 3 rotations the truck will have traveled 207.2in
can someone please help me with this, I did it and I got 54 the answer, but 54 isn't an answer choice
Answers
20 points!!
-5 = b - 2.3
Answers
Explanation: it’s right trust me
Answer:
-2.7
Step-by-step explanation:
-5 + 2.3 = b -2.3 + 2.3
-2.7 = b
yo if you gave me brainliest that would be pretty poggers, as it turns out that only a small percentage of you guys are actually subscribed, so please hit that thanks button, and consider giving me brainliest. it's free, and you can always change your mind later.
what is the solution of the system equation?
y=3x+7
y=x-9
Answers
Answer:
y=-17, x=-8
Step-by-step explanation:
x-9=3x+7
Isolate x for x-9=3x+7;
x-9=3x+7
Add 9 to both sides:
x-9+9=3x+7+9
Simplify;
x=3x+16
Subtract 3x from both sides;
x-3x=3x+16-3x
Simplify;
-2x=16
Divide both sides by -2;
-2x/-2=16/-2
simplify: -2x/-2
=x
Simplify 16/-2:
x=-8
For y=x-9 substitute x=-8;
y=-8-9
Simplify;
y=-17
The solutions to the System of equations are;
y=-17, x=-8
hi i dont get this so can u help ty :)
Answers
Answer:
1/3
Step-by-step explanation:
The two points are (3,0) and (-3, 2).
Slope is y change over x change.
So... 2-0 over -3-3 which is -2 over -6.
Simplified is 1/3
Hope this helps :D
HELP
Kristen predicts that 4/5 of her volleyball servers will go over the net. Which is most likely outcome for her first serve? Explain Why.
Answers
at a school, 40% of the sixth grade students said that hip hop is their favorite kind of music. if 100 sixth grade students perfer hip hop music, how many sixth grade students are at the school?
Answers
Answer:
250
Step-by-step explanation:
40% of all 6th grade students is 100
'x' = all 6th graders
.40x = 100
x = 100/.40
x = 250
90 minutes in fraction hour?
Answers
Answer:
1.5 Hours
Step-by-step explanation:
So, 90 minutes is between 1 hour and 2 hours (2 x 60 = 120 minutes). It is exactly half way between, hence 90 minutes is 1 and 1 half hours (or less formally, 1 and a half hours).
or
90 Minutes = 1.5 Hours = 1 Hour and 30 Minutes. Minutes to hours Time Converter 90 hours to minutes. This conversion of 90 minutes to hours has been calculated by multiplying 90 minutes by 0.0166 and the result is 1.5 hours.
The length of the guy why supporting a cell tower is 120 m the guy wire is anchored to the ground at a distance of 80 m from the base of the tower to the nearest hundredth of a meter how tall is the tower?
Answers
Complete Question
The length of the guy wire supporting a cell tower is 120 m. The guy wire is anchored to the ground at a distance of 80 m from the base of the tower to the nearest hundredth of a meter how tall is the tower?
Answer:
89.44m
Step-by-step explanation:
We solve this question using the Pythagoras Theorem
This is given as:
Hypotenuse² = Opposite ² + Adjacent ²
Hypotenuse = Length of the guy wire = 120m
Adjacent = Distance from the base of the tower = 80m
Opposite = Height of the building = x
Hence:
120² = x² + 80²
Collect like terms
x² = 120² - 80²
x = √120² - 80²
x = √(8000)
x = 89.4427191 m
Approximately the height of the tower is = 89.44m
NEED HELP FAST!! A line has a slope of -3 and a y-intercept of 5. Write the equation of the line in slope-intercept form and explain how you would use the slope and y-intercept to graph the equation.
Answers
Answer:
y = -3x + 5
Step-by-step explanation:
To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=-3x + 5 tells us that the slope of the line is -3 and the y-intercept is at (0,5). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.
PLEASE HELP WILL MARK BRAIN LIST IF CORRECT!
Answers
Answer: 806.5
Step-by-step explanation: you can split it into 3 different shapes: a triangle, rectangle, and a trapezoid. Then, find the area of each individual figure and add them all together and you get 806.5!!
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 9% each year. If this
continues, what will Tacoma's population be in 2020?
Answers
Answer (prediction, first edit):
5,600,000
Equation:
[tex]200,000+(18,000*200)=5,600,000[/tex]