Given right triangle ABCABC with altitude \overline{BD}
BD
drawn to hypotenuse ACAC. If AD=4AD=4 and AC=11,AC=11, what is the length of \overline{AB}
AB
in simplest radical form? (Note: the figure is not drawn to scale.)
Answers
Answer:
[tex] x = 2\sqrt{11} [/tex]
Step-by-step explanation:
AD = 4
AC = 11
DC = 11 - 4 = 7
First, find BD using the right triangle altitude theorem:
[tex] BD = \sqrt{AD*DC} [/tex]
Plug in the values
[tex] BD = \sqrt{4*7} [/tex]
[tex] BD = 2\sqrt{7} [/tex]
Use pythagorean theorem to find x:
x² = AD² + BD²
Plug in the values
[tex] x^2 = 4^2 + (2\sqrt{7})^2 [/tex]
[tex] x^2 = 4^2 + (2\sqrt{7})^2 [/tex]
[tex] x^2 = 16 + (4*7) [/tex]
[tex] x^2 = 16 + 28 [/tex]
[tex] x^2 = 44 [/tex]
Take the square root of both sides
[tex] \sqrt{x^2} = \sqrt{44} [/tex]
[tex] x = \sqrt{44} [/tex]
[tex] x = \sqrt{4 * 11} [/tex]
[tex] x = 2\sqrt{11} [/tex]
Answer:
6
Step-by-step explanation:
\frac{\color{darkorange}{x}}{\color{darkgreen}{4}}=
4
x
=
\,\,\frac{\color{darkorange}{9}}{\color{darkgreen}{x}}
x
9
Use the longer leg over the shorter leg in the smaller triangle and the middle triangle
x^2=
x
2
=
\,\,36
36
Multiply both sides by 44 and xx
\sqrt{x^2}=
x
2
=
\,\,\sqrt{36}
36
Square root both sides
x=
x=
\,\,6
6
Related Questions
How many terms are in the expression 9a+6b+3c+1
Answers
Answer:
4
Step-by-step explanation:
Make a line through a addition, subtraction, division, or multiplication sign and on each side of the line is a number and each number is a term.
PLEASE HWLPPPPP I DONT UNDERSTAND
Answers
Answer:
x ≥ 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
2x + 5 ≥ 27
Step 2: Solve for x
Subtract Property of Equality: 2x + 5 - 5 ≥ 27 - 5[Simplify] Subtract: 2x ≥ 22Division Property of Equality: 2x/2 ≥ 22/2[Simplify] Divide: x ≥ 11Here we see that any value x greater than or equal to 11 would work as a solution to the inequality.
3 1/9 × ¾ hard for me
Answers
Answer:
2.583(the 3 is recurring)
Step-by-step explanation:
31/9=3.4 recurring
3.4recurring*3/4
=2.583(the 3 is reccuring)
HELP PLEASE TYSMMM !!!!!
Answers
Answer:
2c = 25
Step-by-step explanation:
Answer:
the equation would be 2c+25
and the . the equation answered would be c=$12.50
Step-by-step explanation:
-3(4y – 5 + 0) – 3y help
Answers
Answer:
If you´re solving for the value of y, it´s 5/6
Step-by-step explanation:
-3(4y-5+0)-3y=0
-12y+15-0-3y=0
-15y+15-3y=0
-15 -15
-15y-3y=-15
-18y=-15
-18 -18
y=-15/-18 (simplified is 5/6)
Good afternoon guys! And god bless!!! Does anyone knows the answer to this?
Answers
Answer:
The answer to the question provided is 0
Step-by-step explanation:
You have a zero slope.
Good afternoon and god blesses you too <3
Find the Quetion of the line that passes through the points (1,6) and (5,2)
Answers
Answer:
[tex]y=-x+7[/tex]
Step-by-step explanation:
Equation of straight line is given as
[tex]y-y_1=m(x-x_1)[/tex]
where slope m is calculated as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here
[tex](x_1, y_1)=(1, 6) \ \ and \ \ (x_21, y_2) = (5, 2)[/tex]
[tex]m = \frac{2 - 6}{5 - 1}\\m=\frac{- 4}{4} \\m=-1[/tex]
Equation of line that passes through the points (1,6) and (5,2)
[tex]y-6=-1(x-1)\\y=-x+7[/tex]
Use similar triangles to calculate the height of triangle abc 10 cm
С
B
36 cm
h
A
E
20 cm
Answers
If u can chose one scoop of ice cream and one topping how many different sundaes can u make
Answers
Answer:
2 different sundaes
Step-by-step explanation:
Because you can have a sundae with a topping, or a sundae without a topping.
What’s the answer. Please hurry
Answers
What is the greatest common factor of the terms of the polynomial below
12x4 - 6x3 + 9x2
Answers
Answer:
3x²
Step-by-step explanation:
12x⁴-6x³+9x²
3x²(4x²-2x+3)
Helppppp pleaseeee xxxx
Answers
Answer:
String length = 114.5 ft
Explanation:
Length = (sin90º · 96)/sin57º = 114.47 ft = 114.5 ft (.5 is the nearest tenth)
Mark's brother is five years or than mark. thier ages combinded adds up to 23. How old is mark
Answers
Answer:
18
Step-by-step explanation:
Mark is 18 years old.
Answer: 15
Step-by-step explanation:
\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 22^\circ22
∘
22, degrees.
What is the measure of \angle b∠bangle, b?
Answers
Answer:
68 degrees
Step-by-step
22 degrees +B=90 degrees
B=68
In a collection of 40 coins, 45% of the coins are nickels? How many nickels are in the
collection?
F 20
G 15
H 18
J 24
Answers
Jen has a bag of marbles. There are 5 blue, 6 red and 7 white marbles in the bag. Jen pulls out a blue marble and does not replace it. What is the probability that Jen will get another blue marble?
Answers
Answer:
75%
Step-by-step explanation:
Answer:
4/18
Step-by-step explanation:
It would be a 4/18 chance she would get another blue marble, because first you add all of the marbles together which is 5+6= 11 + 7 = 18, so there are 5 blue marbles, and we have a chance of pulling another blue one 5/18 but since we already took one out, there are only 4 blue marbles left, so it's a 4/18.
write the 0.36 in the form of p by q
Answers
Answer:
0.36
Step-by-step explanation:
p=36
q=100
p÷q
36÷100= 0.36
2. What is the value of 6x – 3y if x = 5 and y = 1
F.11.
G.33
H.6 with an exponent of 5
I.65
Answers
Step-by-step explanation:
x=5,y=-1
6(5)-3(-1)=30+3=33
answer G .33
School A has 216 students and 12 classrooms. School B has 432 students. How many classrooms would School B need for the ratios of students to classrooms at both schools to be the same?
Answers
Answer:
18:54 of student to classroom at both school to be the same
PLEASE HELP ASAP THIS IS ALMOST DUEE!!!!!
Answers
Answer:
he eats 8 carrots in one day??
Step-by-step explanation:
Answer:
A. He eats 8 baby carrots in 1 day
Step-by-step explanation:
The one is for time, in days, with the dot to the left is the be listed under 10 which could be 8, so 1,8, 1 day, 8 carrots.
Im stuck someone help i will give brainliest
Answers
Answer:
x=9/13
Step-by-step explanation:
9/13x26= 18
18/3=6
The water supply uses huge concrete pipes to drain stormwater.
a Find the external radius of a pipe.
b Find the Internal radius of a pipe.
c Find the volume of concrete necessary to make one pipe.
Answers
Answer:
a. External radius is 0.5 m.
b. Internal radius is 0.45 m.
c. Volume of concrete necessary to make one pipe is 0.37 [tex]m^{3}[/tex].
Step-by-step explanation:
a. It can be observed that the diameter of the pipe is 1 m.
External radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{1}{2}[/tex]
= 0.5
External radius = 0.5 m
b. Internal radius of the pipe can be determined by;
Internal radius = [tex]\frac{internal diameter}{2}[/tex]
But,
Internal diameter = 1 m - (2 x 0.05 m)
= 1 m - 0.10 m
= 0.9 m
Internal diameter = 0.9 m
So that,
Internal radius = [tex]\frac{0.9}{2}[/tex]
= 0.45
Internal radius = 0.45 m
c. Volume of concrete required = [tex]\pi[/tex][tex]r_{e} ^{2}[/tex]h - [tex]\pi[/tex][tex]r_{i} ^{2}[/tex]h
where [tex]r_{e}[/tex] is the external radius, and [tex]r_{i}[/tex] is the internal radius.
Volume of concrete required = [[tex]\frac{22}{7}[/tex] x [tex](0.5)^{2}[/tex] x 2.5] - [[tex]\frac{22}{7}[/tex] x [tex](0.45)^{2}[/tex] x 2.5]
= 1.9643 - 1.5911
= 0.3732
The volume of concrete necessary to make one pipe is 0.37 [tex]m^{3}[/tex].
3.) An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours
worked after that. The equation represents his total fee is y=150x + 250. Find the value of y
for the following hour(s) (x) that he has worked: {0, 1, 5, 10, 15, 303
Answers
Answer:
A → C = 150h + 250 ( where C is charge )
B → C = 175h + 150
for 26 hours
A → C = (150 × 26 ) + 250 = 3900 + 250 = $4150
B → C = (175 × 26 ) + 150 = 4550 + 150 = $4700
Attorney A is cheaper for 26 hours, thus better deal
Equate the 2 equations to find hours they charge the same
175h + 150 = 150h + 250 ( subtract 150h from both sides )
25h + 150 = 250 ( subtract 150 from both sides )
25h = 100 ( divide both sides by 25 )
h = 4 ← number of hours when charges for both are equal
Attorney A becomes a better deal at 5 hours
Step-by-step explanation:
PLEASEEE URGENT !!!!!!!!
Answers
Answer:
Find the X and Y Intercepts 3x-5y=-20
Find the X and Y Intercepts 3x-5y=-20. 3x−5y=−20 3 x - 5 y = - 20. Find the x-intercepts. Tap for more steps
Step-by-step explanation:
Answer:3d=15 d=5
Step-by-step explanation: Divide 3 on both sides which gives you 5.
Select the correct answer.
Janice works at a cell phone company. She wants to make a presentation to her team about the features of a new phone. She makes a scale drawing of the phone using a scale of 1 inch to 0.5 centimeter. The length of the scaled drawing is 28 inches, and its width is 15 inches. What are the actual dimensions of the phone?
A.
The length is 14 inches, and the width is 7.5 inches.
B.
The length is 56 inches, and the width is 30 inches.
C.
The length is 56 centimeters, and the width is 30 centimeters.
D.
The length is 14 centimeters, and the width is 7.5 centimeters.
E.
The length is 12 centimeters, and the width is 5.5 centimeters.
Answers
Answer:
i think its b
Step-by-step explanation:
Answer:
I'm pretty sure I'm late but it's A
Step-by-step explanation:
Which statement about the value of x is true?
Ox> 38
389
0 x < 39
0x< 77
xº
39°
O x > 103
M M
N
Answers
Answer: Option A x>38
Step-by-step explanation:
I took the test and got 100% on it.
The solution is : x = 77 and x > 38.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
we know that,
Sum of all angles in a triangle is 180.
The angle PNO will hence be:
180 - 38 - 39 = 103 degrees.
The angle PNO + angle x = 180 degrees (straight line)
So 103 + x = 180,
therefore x = 180 - 103 = 77.
Which is also greater than 38,
so x > 38 is also correct.
To learn more on angle click:
brainly.com/question/28451077
#SPJ7
A newsletter publisher believes that 64d% of their readers own a Rolls Royce. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.020.02 level of significance, the testing firm decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim
Answers
Answer:
Step-by-step explanation:
The null hypothesis
[tex]H_o:p=0.64[/tex]
The alternative hypothesis
[tex]H_1:p \neq 0.64[/tex]
At 0.02 level of significance,
the testing firm rejects the null hypothesis.
This implies that the rejection of the null hypothesis shows that there is sufficient evidence to reject a newsletter publisher who believes that 64% of their readers own a Rolls Royce.
Find the distance between the point (-2, -3) and the line with the equation y=4-2/3x
Answers
Answer:
[tex]D = \frac{25\sqrt{13}}{13}[/tex]
Step-by-step explanation:
Given
[tex]y = 4 - \frac{2}{3}x[/tex]
[tex](x_1,y_1) = (-2,-3)[/tex]
Required
Determine the distance
[tex]y = 4 - \frac{2}{3}x[/tex]
Write the above equation in standard form:
[tex]Ax + By + C = 0[/tex]
So, we have:
[tex]\frac{2}{3}x+y - 4 = 0[/tex]
By comparison:
[tex]A = \frac{2}{3}[/tex] [tex]B = 1[/tex] and [tex]C = -4[/tex]
The distance is calculated using:
[tex]D = \frac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}}[/tex]
Where:
[tex](x_1,y_1) = (-2,-3)[/tex]
[tex]A = \frac{2}{3}[/tex] [tex]B = 1[/tex] and [tex]C = -4[/tex]
This gives:
[tex]D = \frac{|\frac{2}{3} * (-2) + 1 * (-3) - 4|}{\sqrt{(\frac{2}{3})^2 + 1^2}}[/tex]
[tex]D = \frac{|-\frac{4}{3} -3 - 4|}{\sqrt{\frac{4}{9} + 1}}[/tex]
Take LCM
[tex]D = \frac{|\frac{-4-9-12}{3}|}{\sqrt{\frac{4+9}{9}}}[/tex]
[tex]D = \frac{|\frac{-25}{3}|}{\sqrt{\frac{13}{9}}}[/tex]
[tex]D = |\frac{-25}{3}|/\sqrt{\frac{13}{9}}[/tex]
[tex]D = \frac{25}{3}/\sqrt{\frac{13}{9}}[/tex]
Split the square root
[tex]D = \frac{25}{3}/\frac{\sqrt{13}}{\sqrt{9}}[/tex]
Change / to *
[tex]D = \frac{25}{3}*\frac{\sqrt{9}}{\sqrt{13}}[/tex]
[tex]D = \frac{25}{3}*\frac{3}{\sqrt{13}}[/tex]
[tex]D = \frac{25}{\sqrt{13}}[/tex]
Rationalize
[tex]D = \frac{25}{\sqrt{13}} * \frac{\sqrt{13}}{\sqrt{13}}[/tex]
[tex]D = \frac{25\sqrt{13}}{13}[/tex]
Hence, the distance is:
[tex]D = \frac{25\sqrt{13}}{13}[/tex]
Answer:
A
Step-by-step explanation:
pleaseeee helppppppppp meeeeee
Answers
Answer:
x = 10 yd
Explanation:
These triangles are based on proportions. 12 yd is proportional to 18 yd, and x yd to 15 yd. We want to find x. We'll use the rule of three to calculate the unknown number.
12/18 = x/15
x = (12 · 15)/18
x = 10 yd (10 yards from the hut to the gold coins)
Leanne has an assignment where she is required to name something that qualifies as nonmaterial culture. What would BEST demonstrate this concept?
A. the belief that no one should kill another person
B. the lyrics to a song on the Internet
C. clothing that was made by a local craftswoman
D. a cell phone app that helps people find a friend
Answers
Answer:
A.
Step-by-step explanation:
The best option that would demonstrate this concept would be the belief that no one should kill another person. This is because out of all the available options this is the only intangible "material" that actually affects a population's culture. Such a belief or idea would make a population create their entire culture around such a belief as well as the other thoughts and ideas that define what is write and wrong to a culture.