Find the missing side lengths, leave your answers as radical in simplest form. ( Please answer ASAP!)
Answers
Answer:
9) a = 8, b = 4√2
10) x = 7√2, y = 7
11) x = 5√2, y = 5
12) a = 10, b = 5√2
Step-by-step explanation:
You can notice all these triangles are special as 45° - 45° - 90° triangles. In 45° - 45° - 90° triangles, the hypotenuse is √2 times the sides. We can set up these equations and solve:
9)
a = 4√2 * √2
a = 8
Since the triangle is isosceles, the legs are the same length, so:
b = 4√2
10)
x = 7 * √2
x = 7√2
Since the triangle is isosceles, the legs are the same length, so:
y = 7
11)
x = 5 * √2
x = 5√2
Since the triangle is isosceles, the legs are the same length, so:
y = 5
12)
a = 5√2 * √2
a = 10
Since the triangle is isosceles, the legs are the same length, so:
b = 5√2
Related Questions
Question 17 (1 point)
Bicycle, a company that makes dice, is looking to change the size of the dice they produce. The current dice have edge lengths of 5mm, and the company wants to increase them to 15mm. How will the volume of the dice be effected if this change is made?
Question 17 options:
30x larger
3x larger
10x larger
27x larger
Answers
Answer:
3x
Step-by-step explanation:
Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music. Of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite genre?
Group of answer choices
60
80
200
160
Answers
Answer:
200
Step-by-step explanation:
41 x 5 = 205
20% x 5 = 100%
Find the surface area of the rectangular prism
Answers
If Samuel travels twenty kilometers north, fifty kilometers south, and forty kilometers west, what is the approximate magnitude of his total displacement, in kilometers? Find the solution by drawing a diagram. km
Answers
Answer:
108.75km
Step-by-step explanation:
please find attached the diagram
total displacement can be determined by using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
length of x =
20² + 40²
= 400 + 1600
2000
square root of 2000
= 44.72km
length of y
40² + 50²
1600 + 2500 = 4100
square root of 4100
64.03km
total displacement = 44.72 + 64.03 = 108.75
Solve the following system algebraically.
y = x2 +x
y = -x - 1
A) (-2,3)
B) (-1,0)
C) (0,0)
D) (-5,2)
Answers
Answer:
B
Step-by-step explanation:
-x - 1 = x^2 + x
x^2 + 2x + 1 = 0
(x+1)(x+1) = 0
x = -1 (double soution)
y = 1-1 =
y =0
(-1,0) = double solution
help please i dont understand will mark brainlyist
Answers
Answer:
Its D
Step-by-step explanation:
Its D because each one is multiplied by 16
what is the value of x ?
Answers
Answer:
x = 19
Step-by-step explanation:
The two angles form a right angle
A right angle has a measure of 90 degrees
Thus, x + 14 + 3x = 90
^This is the equation we will use to solve for x
x + 14 + 3x = 90
step 1 combine like terms
x + 3x = 4x
we now have 4x + 14 = 90
step 2 subtract 14 from each side
90 - 14 = 76
14 - 14 cancels out
we now have 76 = 4x
step 3 divide each side by 4
4x / 4 = x
76 / 4 = 19
we're left with x = 19
A marathon had 567 runners registered. Of these runners, about 0.7% completed the race in under 2 h 12 min. How many runners completed the race in this time?
Answers
Answer:
3
Step-by-step explanation:
Find the slope mathematics
Answers
explanation:
the slope intercept form is y = mx+b, where m is the slope and b is the y-intercept.
I own 1 mini fish and 2 giant fish each giantfish weighs 3 times as much as minfish. If my mini fish eats my two giantfish, then how many times more weight will my mini fish have now than before
Answers
Answer: 6 pounds
Step-by-step explanation:
Answer:
The mini fish would weigh 6 times its original amount hypothetically but if we were talking realistically then you would need more information to figure that out. But even then there's no way of determining the specific weight.
Step-by-step explanation:
how do i do this? i don’t know how
Answers
The 3 inside angles of a triangle need to equal 180 degrees.
Add the 3 together to equal 180:
X + 2x + x+ 14 = 180
Combine like terms:
4x + 14 = 180
Subtract 14 from both sides:
4x = 166
Divide both sides by 4
X = 41.5
Answer:
Fraction form: x = 83/2
Decimal form: x = 41.5
Step-by-step explanation:
The 3 angles inside the triangle will always add up to 180 degrees.
So that gives us the equation:
x + 14 + x + 2x = 180
Combine like terms:
4x + 14 = 180
Subtract on both sides:
4x = 166
Divide:
41.5
Which is equivalent to 3/84"?
Answers
Answer:
[tex]\sqrt[12]{8} ^x[/tex]
Step-by-step explanation:
[tex]3 / \frac{1}{4} = 12[/tex]
Tell whether the equation has one, zero, or infinitely many solutions.
4(x − 8) + 9 = 4x − 23
Answers
Answer:
Infinitely many solutions.
Step-by-step explanation:
4(x-8)+9=4x-23
4x-32+9=4x-23
4x-23=4x-23
infinitely many solutions.
5m - 12 = 2m + 6 + 3m
Answers
Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry.
Part A
Determine an exponential function model to represent the number of ants in the pantry in terms of the number of elapsed days. Explain how you arrived at your model.
Part B
Using your exponential model predict how many ants would be in the pantry by Friday if the trend continues. Explain if your response is reasonable.
Part C
Does the problem situation represent exponential growth or decay? Justify your reasoning.
Answers
Find the common ratio of the geometrie sequence 6, 24, 96,
Answers
Answer:
4
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
24/6 = 4
Check by taking the third term and dividing by the second term
96/24 = 4
The common ratio is 4
A soccer ball is kicked from the top of a 64 ft building into the air at an initial speed of 48 ft/sec. Its flight as a functions of time can be modeled by: h(t)=−16t2+48t+64. After how many seconds, will the soccer ball hit the ground (h=0)?
Answers
Answer:
t = 4 seconds
Step-by-step explanation:
The height of a soccer ball as a function of time is given by :
[tex]h(t)=-16t^2+48t+64[/tex]
We need to find the time when the ball hit the ground i.e. h = 0
Put h = 0 in above equation. So,
[tex]-16t^2+48t+64=0\\\\16(-t^2+3t+4)=0\\\\-t^2+3t+4=0[/tex]
It is a quadratic equation such that,
t = -1 s and t = 4 s
Neglecting -1 s, the ball will hit the ground after 4 seconds.
I WILL GIVE YOU BRAINLIEST AND THIS ANSWER IS WORTH 30 POINTS!
1. |18-x|, if x<18.
2.|x-5|,if x<5
3. |x-18|, if x<18
Answers
Answer: the answer is |x-5,if x<5|
Step-by-step explanation:
How much paint will you need to paint all sides of the box shown below? show work and use volume or surface area formula.
Answers
Answer: 100
Explanation: triangle area is l x h ÷ 2 rectangle area is l x h. 4 x 3 =12÷2 +12÷2 =12 11x4x2= 88 88+ 12=100.
Which interval is the graph of the parent absolute vale function f(x)=|x| decreasing
Answers
Answer:
(-∞,0)
Step-by-step explanation:
The graph of ƒ(x) = |x| is below.
The function is decreasing on (-∞,0) .
A is wrong. The function both decreases and increases on (-∞,∞).
C is wrong. The function is decreasing on (-6,0), but that is only a portion of the interval.
D is wrong. the function is increasing on (o,∞)
3.(-48)÷ 48=_____ class 7th Chapter integer
Answers
Answer:
3. (-48) devide 48 = -1 class 7th Chapter integer
The answer is : -1
# GOOD LUCKDue to budget cuts the Fire Department only has one ladder which is 35 feet long. While rescuing a damsel from a burning house the ladder must be 12 feet from the base of the house. How high up the house can the ladder reach?
a. Draw a diagram that models the situation. Be sure to label it.
b. Write an equation that models the situation and solve it.
Answers
Answer:
good luck always brings luck the answer is 12
Step-by-step explanation:
Parallelogram JKLM shown below is going to be rotated 270° clockwise to create J'K'L'M'. Which rule describes this transformation? K M F. (x, y) = (-y, x)
G. (x, y) = (-x. -Y)
H. (x, y) = (y, -x)
J. (x,y) → (-x, y) c
Answers
Answer:
F. (x, y) = (-y, x)
Step-by-step explanation:
270º clockwise transformation:
The 270° clockwise transformation of a point (x,y) is:
(x,y) -> (-y,x)
Thus, as we just apply the rule in this conceptual question, the correct answer is given by:
F. (x, y) = (-y, x)
PLEASE NO LINKS I LOST SO MANY POINTS
Answers
Answer:
We will split the trapezoid into right angle triangle and rectangle
Traingle with base 3cm and height 10 - 6 = 4cm
Area of traingle
= [tex]\frac{1}{2}*base *height = \frac{1}{2} * 3 * 4 = 6cm^{2}[/tex]
Area of rectangle with sides 6cm and 3cm
=[tex]6 * 3 = 18cm^{2}[/tex]
Therefore, area of the trapezoid
= [tex]6+18 = 24cm^{2}[/tex]
Area of the semi circle with radius 3/2 = 1.5cm
= [tex]\frac{1}{2}\pi r^{2} = \frac{1*\pi *1.5*1.5}{2} = 1.125\pi cm^{2}[/tex]
[tex]Total area = 24 + 1.125\pi =27.53cm^{2}[/tex]
PLEASE HELP ALL LINKS GIVEN WILL BE REPORTED
Answers
Answer:
- 13
Step-by-step explanation:
[tex]log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } \\ \\ = log( {a}^{6} {b}^{6} ) - log {c}^{7} \\ \\ = 6log \: a + 6log \: b - 7log \: c \\ \\ = 6(2) + 6( - 3) - 7(1) \\ \\ = 12 - 18 - 7 \\ \\ \therefore \: log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } = - 13[/tex]
There are 4 consecutive integers that sum to 394. What is the least of these integers?
Answers
Answer: 97
Step-by-step explanation:
394 / 4 = 98.5, so the 4 numbers must be around 98.5.
97 + 98 + 99 + 100 = 394
2. Which sequence of transformations takes the graph of y = k(x) to the graph of
y=-k(x + 1)?
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of
B. Translate 1 to the left, scale vertically by , then reflect over the x-axis.
C. Translate left by , then translate up 1.
D. Scale vertically by z, reflect over the y-axis, then translate up 1.
Answers
Answer:
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1
Step-by-step explanation:
Initially:
We have the function [tex]y = k(x)[/tex]
k(x + 1)
To translate a function k(x) a units to the left, we find k(x + a).
Thus, k(x+1) is the translation of k(x) 1 unit to the left.
-k(x+1)
Multiplying a function by a negative constant is the same as reflecting it over the x-axis, and then scaling it vertically by a factor of the constant.
Thus:
The answer is given by option A:
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1
x = 15, x = 5; (0.75)
Answers
Answer:
12
Step-by-step explanation:
12 is 75 of 15 %^%^%^%^^^___<<<7<
find the 46th term 261 256 251
Answers
Answer:
36
Step-by-step explanation:
The numbers given represent an arithmetic series with a common difference of -5. The formula to find the nth term of an arithmetic sequence is:
a + (n - 1)d
where a is the first term and d is the common difference. We can substitute our values in:
261 + (46 - 1)(-5)
261 + (45)(-5)
261 + (-225)
36
Answer:
36
Step-by-step explanation:
Have a good day :)
The diameter of a pipe is 6 cm. If the pipe is 26 cm long, what is its volume?
Use the value 3.14 for π , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
i think this question answer is 734.76cm^3