Answers
Answer:
m∠CAB = 90°
BD = 9
m∠ABC = 90°
arc AEC = 180°
AD = 14.5
Step-by-step explanation:
Question 1
The angle between the radius and a tangent to the circle is always 90°.
Therefore, as AC is the radius and AB is a tangent segment, m∠CAB=90°
As m∠CAB = 90°, we can use Pythagoras' Theorem to find BC (hypotenuse):
AC² + AB² = BC²
⇒ 8² + 15² = BC²
⇒ BC² = 289
⇒ BC = 17
As CD is the radius, CD = 8
Therefore, BD = BC - CD = 17 - 8 = 9
Question 2
If D is the center, then AC is the diameter. Angles at the circumference in a semicircle are always 90°. Therefore, m∠ABC = 90°
As AC is the diameter, arc AEC is half of the circle.
Therefore, arc AEC = 360° ÷ 2 = 180°
As m∠ABC = 90°, we can use Pythagoras' Theorem to find AC (hypotenuse):
BC² + AB² = AC²
⇒ 20² + 21² = AC²
⇒ AC² = 841
⇒ AC = 29
AD is the radius. A radius is half the diameter.
Therefore, AD = AC ÷ 2 = 29 ÷ 2 = 14.5
Related Questions
Need help its for 20 points whoever complete this for me I will give you a crown
Answers
Answer:
please give options.
Step-by-step explanation:
The number of inches is what ?
The red figure is similar to the blue figure. Describe a sequence of transformations
in which the blue figure is the image of the red figure.
(just one sequence needed)
*WILL GIVE BRAINLIEST TO THE CORRECT ANSWER*
Answers
Answer:
3/8 is blue because since 5/8 is red there is only 3/8 left of the figure so it has to be 3/8 blue
Step-by-step explanation: TYYYYYYY
HELP PLS EXPLAIN THIS TO ME
Gabriel planned a vegetable garden. Use the scale and the scale drawing to complete the following statements.
The length of the garden is
meters.
The width of the garden is
meters.
If the scale changes to 1 cm : 9 meters, the new length of the garden is
meters and the new width of the garden is
meters.
The new length of the garden is
times as long as the original length of the garden.
Answers
Answer:
length: 21 meters
width: 5.25 meters
scale changes to 1cm : 9cm
length: 63 meters
width: 15.75 meters
new length: is 3 times old length
Answer:
The length of the garden is 21 meters.The width of the garden is 5.25 meters.If the scale changes to 1 cm : 9 meters, the new length of the garden is 63 meters and the new width of the garden is 15.75 meters.The new length of the garden is 3 times as long as the original length of the garden.Step-by-step explanation:
Solving
Scale : 1 cm = 3 mThen, length = 7 cm * 3 = 21 mwidth = 1.75 cm * 3 = 5.25 mIf scale is 1 cm = 9 m,length = 7 cm * 9 = 63 mwidth = 1.75 * 9 = 15.75 mPLS PLS PLS PLS HELP!!!!
What's 2+2???
CORRECT ANSWER=BRAINLIEST
Answers
Answer:
4
Step-by-step explanation:
By adding (+ / Plus) 2 and 2 together, like II + II, you get IIII. Otherwise, 4. Or "Four" as a word. You pronounce it just like you say "For" as in "For you". "Four" and "For" mean different things, but sound the same when said. Hope this helped! (lol i know this is a joke question)
Please help me find the surface area.
Answers
Answer:
cool sooo coolll very nice drawing
Answer:
the anwer is 500
Step-by-step explanation:
hope this helps
Send help its 50 points !
Answers
Step-by-step explanation:
According to picture we can see
Vertical anglesThe opposite angles formed by two intersecting lines
1, 6 and 9Complementary anglesThe angles forming a right angle
2Adjacent angles4 and 5 (most of other angles can be added to this group)Linear pairThe angles forming a straight line
3, 7 and 8Vertical angles
The opposite angles formed by two
intersecting lines
1. 6 and 9
Complementary angles
The angles forming a right angle
• 2
Adjacent angles
4 and 5 (most of other angles can be
added to this group)
Linear pair
The angles forming a straight line
3, 7 and 8
Reggie's account is -$215 dollars. How much money does Reggie owe?
Answers
50 POINTS! GIVING BRAINLIEST!
1. Given triangle ABC, where
2. A cable is attached to a pole 10 meters high. If the other end is attached to the ground 8 meters from the base of the pole. How long is the cable?
Answers
Answer:
the cable is 2\sqrt{41} meters long
Step-by-step explanation:
after drawing out the lengths given, you can see that you need to find the hypotenuse of a triangle with legs 10 and 8 meters long.
10^2+8^2=164
sqrt of 164 is [tex]2\sqrt{41}[/tex]
Answer:
[tex]2\sqrt{41}\: \sf m[/tex] = 12.81 m (nearest hundredth)
Step-by-step explanation:
This can be modeled as a right triangle, with:
height = 10 ftbase = 8 ftThe length of the cable is the hypotenuse.
Using Pythagoras' Theorem: [tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
[tex]\implies 8^2+10^2=c^2[/tex]
[tex]\implies 164=c^2[/tex]
[tex]\implies c=\sqrt{164}[/tex]
[tex]\implies c=\sqrt{4 \cdot 41}[/tex]
[tex]\implies c=\sqrt{4} \sqrt{41}[/tex]
[tex]\implies c=2\sqrt{41}\: \sf m[/tex]
Therefore, the length of the cable is [tex]2\sqrt{41}\: \sf m[/tex] = 12.81 m (nearest hundredth)
Anais placed 100 slips of paper, all equally sized and shaped, into a bag. Each slip was colored either red, blue, green, or orange. The red slips were numbered 1-25, the blue slips were numbered 26-40, the green slips were numbered 41-75, and the orange slips were numbered 76-100.
What is the probability that Anais pulls out a blue slip of paper?
A. 1/4
B. 3/20
C. 7/20
D. 2/5
Answers
help help help help help
Answers
sorry if this is confusing but yeah
Short summary
By process of elimination it’s C
This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
A shape made up of a rectangle of the left and a semicircle on the right. The rectangle has a width of 15 meters and a height of 12 meters.
Enter your answer to the nearest hundredths place in the box.
Question 5 options:
Answers
Step-by-step explanation:
l = 12 metres
b = 15 metres
diameter of semicircle = length = 12 m
radius = 12/2 = 6 cm
area of the figure = area of rectangle + area of semi circle
= l × b + πr²
= 12 × 15 + 3.14 × 6²
= 180 + 113.04
= 293.04 m²
The perimeter of the figure is 60.84 meters.
What is a rectangle?A rectangle is a quadrilateral with all four interior angles 90°.
Given that, the width and height of the rectangle are 15 meters and 12 meters respectively.
Note that the diamter o he semicircel is 12 meters.
The radius of the semicircle is:
12/2
= 6 meters
The perimeter of the figure is given by:
15 + 12 + 15 + π(6)
= 42 + 3.14×6
= 60.84
Hence, the perimeter of the figure is 60.84 meters.
Learn more on rectangles here:
https://brainly.com/question/15019502
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Read the line from "Harlem [2]."
Or fester like a sore—
What does the word fester mean?
burst
appear
decay
develop
Answers
help me with this pleaseee!!!!
Answers
Answer:
The answer is : 11°
Step-by-step explanation:
MKL+KLM = LMN
= (3x+19)°+(2x+8)° = (7x+5)°
= 5+27° = 7x+5°
= 2x = 22°
= x = 11°
Whoever gets it right can have brainliest, but answer ASAP!
Answers
Hope this helps
the probability of randomly drawing a green marble out of a bag of gree, red, and blue marbles is 3/5. what is the probability of randomly drawing a red or blue marble
Answers
CAN SOMEONE HELP PLEASE!
Answers
Answer:
the answer is the number two.
Step-by-step explanation:
1. compare the table, the person without a membership is more likely to take vitamin than a person with gym membership. 2 compare the answer with each other.
PLEASE HELP, the picture below are the details (giving brainliest)
Answers
Answer:
A or C but i believe it is A
Please multiply and add the question shown down below.
Then Pick: A, B, C, or D.
Answers
Answer:
1/7 + 2/7 * 1/4 = 3/14, therefore your answer is, B.
Step-by-step explanation:
I added 1/7 and 2/7 then multiplied it by 1/4 and got 3/14!
Answer:
B
Step-by-step explanation:
1/7 + 2/7 x 1/4
Bodmas
1/7 + 2/7 x 1/4
1/7 + 1/7 x 1/2
1/7 + 1/14
LCM = 14
2 + 1 3
--------- = -------
14 14
answer all 3 for brainliest
Answers
Consider the expression.
12(-72)+41(-3 -32)
Answers
Answer:
-2299 is the correct answer
Step-by-step explanation:
i used a calculator
WILL CHOOSE BRAINLIEST!!! The oxford square is approximately 300 feet on each side. What is the length of the diagonal square?
Answers
Answer:
[tex]300\sqrt{2}[/tex]
Step-by-step explanation:
using pythagorean theorem we know that a^2+b^2=c^2 so [tex]300^2+300^2=c^2[/tex]
so [tex]c=+- \sqrt{300^2+300^2}[/tex] knowing that the line has to be positive you take the positive integer.
Zach substitutes the values 32 inches, 20 inches and 20 inches into the Pythagorean theorem. Explain what Zach is most likely trying to find out.
Answers
Answer:if a triangle is a right triangle, then the sum of the squares of the lenghts of the legs is equal to the square of the length of the hypotenuse.
- a property of all triangles with a right-angle (an angle of 90°)
Step-by-step explanation:
Zach is trying to find out the hypotenuse value of the right-angle triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The Pythagorean theorem states that "in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides".
Zach is most likely trying to find the length of the hypotenuse of a right triangle, which is the side opposite the right angle, given the lengths of the other two sides.
In this case, given 32 inches, 20 inches, and 20 inches values, he's trying to find out the hypotenuse value of the right-angle triangle.
Learn more about the right triangle here:
brainly.com/question/6322314
#SPJ2
Please help, will give brainliest!
Answers
Answer:
The best name for the shape of his kite is a rectangular rhombus.
Step-by-step explanation:
Write the equation for each translation of the graph of y=|x+2|.
a) one unit up
b) one unit down
c) one unit to the left
d) one unit to the right
Answers
when the 2 is inside the absolute value it goes the opposite way so instead of right it would be to the left. If it were on the outside, then you would shift it up or down according to the + or -.
a) one unit up = Ix + 2I + 1
b) one unit down = Ix + 2I - 1
c) one unit to the left = Ix + 1I
d) one unit to the right = Ix + 3I
What is transformation on the graphs?Let the function f(x) and g(x) are two real functions.
And g (x) = f (x) + k, where k is real numbers.
Function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
may be drawn by horizontally moving the f(x) k unit coordinates.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
The graph of y = |x+2| is a V-shaped graph centered at x = -2.
To translate this graph, we need to modify the equation to shift it up/down or left/right.
Here are the equations for each translation:
a) To shift the graph one unit up, we need to add 1 to the equation:
y = |x+2| + 1
b) To shift the graph one unit down, we need to subtract 1 from the equation:
y = |x+2| - 1
c) To shift the graph one unit to the left, we need to replace x with (x+1) in the equation (since moving left means decreasing x by 1):
y = |(x+1)+2|
Simplifying this gives:
y = |x+3|
d) To shift the graph one unit to the right, we need to replace x with (x-1) in the equation (since moving right means increasing x by 1):
y = |(x-1)+2|
Simplifying this gives:
y = |x+1|
Therefore, all the required values are given above.
To learn more about the transformation on the graphs;
https://brainly.com/question/19040905
#SPJ3
PLS HELP I WILL CHOOSE BRAINLIEST
Answers
Explanation:
because your using the formula y=max+b
b=the y-intercept
The area of a square floor on a scale drawing is 100 square centimeters, and the scale drawing is 1 centimeter:2 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?
The area of the actual floor is ................... square feet.
The ratio of the area in the drawing to the actual area is 1 square centimeter:............. square ft
Answers
Answer: Ok let's say the area is 100 sq cm because it is 10x10 square. Now if 1 cm is 2 ft then 10 cm is 20 ft. So 20 x 20 is 400 sq ft which is the actual area.
1 sq cm = 4 sq ft
Good luck!
What is the overlap of Data Set 1 and Data Set 2?
high
moderate
low
none
Answers
Answer: High
Step-by-step explanation: Same endpoints and similar values
The high overlap is the overlap that we are having here.
What is meant by high data set overlap?High dataset overlap typically refers to a situation in which two or more datasets contain many of the same or very similar entries or data points.
This can happen, for instance, in the field of machine learning, when training and testing datasets have high overlap, which could lead to overfitting. Overfitting is a modeling error that occurs when a function is too closely fit to a limited set of data points and may therefore perform poorly on new, unseen data.
Read more on data set here:https://brainly.com/question/19243813
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Which of the following inequalities is correct?
Answers
Answer:
Step-by-step explanation:
it is option C because a positive number will always be bigger then a negative number
I need help asap with this math problem!
Answers
Answer:
389 feet away....about a block !
Step-by-step explanation:
If 0ne foot = 2.389x 10^5 miles
2.389x10^5 miles / 'foot'
find the number of 'feet' to the sun for the model
9.296 x 10^7 miles / 2.389 x 10^5 miles/'foot' = ~~389 feet !!
Solve rational equation
Please Draw Steps, and show answer please!
Answers
By, Cross multiplying, we get
[tex]⇢2x(x - 1) = (2x - 1)(x + 2)[/tex]
[tex]⇢2 {x}^{2} - 2x = 2x(x + 2) - 1( x+ 2)[/tex]
[tex]⇢2 {x}^{2} - 2x = 2 {x}^{2} + 4x - x - 2[/tex]
Here, [tex]2 {x}^{2} [/tex] from both sides will get cancelled
[tex] ⇢- 2x = 3x - 2[/tex]
[tex]⇢ - 2x - 3x = - 2[/tex]
[tex] ⇢- 5x = - 2[/tex]
[tex] ⇢x = \frac{ - 2}{ - 5} [/tex]
[tex] ⇢ \underline { \boxed{ x = \frac{2}{5} }} [/tex]
Answer:
[tex]x=\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\frac{2 x}{x+2}-\frac{x}{x-1}=1[/tex]
[tex]\begin{aligned} & \Leftrightarrow \frac{2 x(x-1)}{(x+2)(x-1)}-\frac{x(x+2)}{(x-1)(x+2)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x}{(x+2)(x-1)}-\frac{\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-x^{2}-2 x}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{x^{2}-4 x}{(x+2)(x-1)}=1 \\\end{aligned}[/tex]
[tex]\begin{aligned}& \Leftrightarrow x^{2}-4 x=(x+2)(x-1) \\& \Leftrightarrow x^{2}-4 x=x^{2}-x+2 x-2 \\& \Leftrightarrow x^{2}-4 x=x^{2}+x-2 \\& \Leftrightarrow-4 x=x-2 \\& \Leftrightarrow 5 x=2\end{aligned}[/tex]
therefore,
[tex]x=\frac{2}{5}[/tex]