The perimeter of the isosceles right triangle is P = 6 + 3√2 feet
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the isosceles triangle be represented as ΔABC
In an isosceles right triangle, the two legs are congruent, so if one leg has a length of 3 ft, then the other leg also has a length of 3 ft. Let's call the length of the hypotenuse h.
Using the Pythagorean theorem, we can find the length of the hypotenuse:
h² = 3² + 3²
h² = 18
Taking square roots on both sides , we get
h = 3√2 feet
The perimeter of the triangle is the sum of the lengths of its sides:
Perimeter = 3 + 3 + 3√2 = 6 + 6 + 3√2 feet
Hence , the perimeter is 6 + 3√2 feet
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i have to find the mean and range of this data set and show work.
data set: 49,50,52,58,61,63,66,67,67,68
Answer:
61 is the mean and the range is 19
Step-by-step explanation:
trust
Mean = [tex]60.1[/tex] and Range = [tex]19[/tex] for the given set of data.
What is Mean?
"Mean is the average set of all the given values."
What is Range?"Range is the difference between highest and the lowest value."
Formula
Mean = [tex]\frac{Sum of all the observations}{Total number of observations}[/tex]
Therefore, Mean = [tex]\frac{49 + 50 +52 +58 +61 +63 +66 +67 +67 +68}{10}[/tex]
= [tex]\frac{601}{10}[/tex]
= [tex]60.1[/tex]
Range = Max (x) - Min (x)
= [tex]68 - 49[/tex]
= [tex]19[/tex]
Hence, the Mean = [tex]60.1[/tex] and Range = [tex]19[/tex] for the given data set.
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Which situation can the integer -71 represent?
Choose the correct answer below.
A) a bird flies 71 ft above sea level
B) you climb a mountain 71 ft above sea level
C) a fish swms 71 ft below sea level
What is the slope of the following points (5,7) and (12,2)?
5
-7/5
2/10
-5/7
WILL GIVE BRAINLIEST
Answer:
use the slope formula: (y2-y1)/(x2-x1) and then plug in the points given
(2-7)/(12-5)
-5/7
the slope is the last one or "D"
Step-by-step explanation:
Question 2 (1 point)
Evaluate: 12 + (-4)
16
8
-16
-8
I need a quick asnwer!!!
Answer:
third one
Step-by-step explanation:
Answer:
Its the third one you welcome
Step-by-step explanation:
A group of friends paid $7 each to play a round of golf . It also cost $ 12 to rent a golf cart. As a group, they paid $ 33 altogether . Determine the number of friends that played golf .
Answer:
3 friends played golf
Step-by-step explanation:
33-12=21
21/7=3
Find the measure of angle abc
Answer:
The answer is 9!
Step-by-step explanation:
Ik this is late but for people in the future, the answer is definetly 9.
180 = 6x + 6x + 8x
Now substituting 9 in for the x values;
180 = 6(9) + 6(9) + 8(9)
180 = 54 + 54 + 72
180 = 180
BYE!
What is the equation of the line
Answer:
x=-9
Step-by-step explanation:
can someone please help me
Answer:
I think it's -2p or 2p-4
Find the measure of angle A
Answer:
43°
Step-by-step explanation:
(x + 53)° + (x + 74)° + 73° = 180°
(x + 53 + x + 74)° = 180° - 73°
(2x + 127)° = 107°
2x + 127 = 107
2x = 107 - 127
2x = - 20
x = - 20/2
x = - 10
[tex]m\angle A = (x +53)\degree \\\\
m\angle A = (-10 +53)\degree \\\\
m\angle A = 43\degree \\\\
[/tex]
Daria discovers a pattern in her homework assignment. X shows the missing digit in the pattern. The table shows 12, 84, 156, 228 and x. What is the possible answer for the last digit?
a. 276
b. 547
c. 300
d. 347
( whoever answers CORRECTLY first, WILL get brainliest and an additional +21 points)
The ratio of cats to dogs at Mrs. Hernandez's Pet Shop is 2 to 3. There are 24 dogs at her pet shop. What is the total number of animals at Mrs. Hernandez's Pet Shop? F 40 G 16 H 60 j 36
Answer: J 36, Total: 60 animals
Step-by-step explanation:
24/36 divided by 12=2/3
Total:24+36=60
HURRY PLEASE!!! 10 MINUTES!!!!!!!!!!
Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and proposes two methods for collecting data. Method 1: As golfers approach the first tee, give some golfers wrist bracelets with magnets and some golfers wrist bracelets without magnets. During the round of golf, keep track of the length of the golfers’ shots. Method 2: Contact golfers who have purchased wrist bracelets with magnets and ask them to provide information about their shot length. Which statement about these methods is true? Method 1 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it could include golfers from many golf courses. Both methods are observational studies because they both collect information about shot length.
Answer:
I think it is D
Step-by-step explanation:
Answer:
C
EDGE
Step-by-step explanation:
Does anyone know the answer ? (geometry)
Answer:
The answer 7.48
Step-by-step explanation:
I hope this helped
a cooler has a dimensions 50 cm by 20 cm by 30 cm
what is the shape of the cooler
Answer:
rectangle
Step-by-step explanation:
A hot air balloon in flight begins to ascend at a steady rate. After 1.5 minutes, the balloon is at an altitude of 2150 feet. After 3 minutes, it is at an altitude of 2330 feet. Use an equation in point-slope form to determine the altitude the balloon will reach after 5 minutes.
Answer: hope it helps
Step-by-step explanation:The balloon will not reach 2,500 feet after 4 minutes.
Step-by-step explanation:
The equation of the line in the point-slope form is
A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is
After minutes, the balloon is at an altitude of feet. This means, the line passes through the point (1.5, 2,150).
Substitute the slope and point coordinates into the equation:
We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:
Now, find the height after 4 minutes:
Thus, the balloon will reach only 2,450 feet after 4 minutes.
hi need help with math
some one help
Answer:
Ether C or D. hope this helps
What is the x-intercept of the Cubic Function shown below?
A(1,0)
B(0,1)
C(1,7)
D(7,1)
What is the surface area of the right prism given below?
O A. 298 units2
OB. 840 units2
O C. 480 units2
O D. 420 units2
Answer:
480 units^2
Step-by-step explanation:
5 * 12 = 60
13 * 14 = 182
12 *14 = 168
5 * 14 = 70
480
The surface area of the given prism will be 480 square units so the correct answer is option C.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The triangular prism is having 6 surfaces so the surface area will be the sum of the area of all the sides of the prism.
The area of all the sides of the prism will be calculated as follows:-
5 x 12 = 60
13 x 14 = 182
12 x 14 = 168
5 x 14 = 70
The total surface area of the prims will be:-
SA of prism = 60 + 182 + 168 + 70 = 480 square units
Therefore the surface area of the given prism will be 480 square units so the correct answer is option C.
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yea yea yea yea yea help please i have a zero in this class lol
Answer:
D. -3z+2
Step-by-step explanation:
Steps:
Remove parentheses: (a) = a
= 5z+9-(8z+7)
....
Simplify
5z+9-8z-7: -3z+2
Answer:
-3z +2
Step-by-step explanation:
A expression in terms of z is given to us and we need to simplify out the given expression . The give an expression to us is ,
[tex]\implies (5z + 9 ) - ( 8z + 7 )[/tex]
Recall that , + × - = - . We have ,
[tex]\implies 5z + 9 - 8z - 7 [/tex]
Combining the like terms and simplifying ,
[tex]\implies 5z - 8z - 7 +9 \\\\\implies \underline{\underline{ -3z +2 }}[/tex]
Hence the last option is correct .
(8+2)² HELP ME I NEED IT
Answer:
100 answer
follow me for more best answer
It equals 100
Could I have branliest, heart with 5 stars
Thanks and have a merry Christmas!
I am super confused
A small aquarium holds 70% as much as a large aquarium. If the small aquarium holds 35 liters, how many liters does the large aquarium hold?
Answer:
50
Step-by-step explanation:
so in other words, 35 is 70% of something. So you can divide 35 by 0.7 to get your answer.
Answer:
24.5 litres I guess is the answer for the question
Click on photo if neccessary
Two cities Asheville and Boulder are 2.5 inches apart on a map. A third city well spring is located exactly halfway between Asheville and Boulder. If the scale is 0.5 inches = 15 miles find the actual distance from wellspring to Boulder
Answer:
75miles
Step-by-step explanation:
Let A be the location of Asheville, B be the location of Boulder and W be the location of wellspring.
If well spring is located exactly halfway between Asheville and Boulder, then;
AW + WB = AB
If Asheville and Boulder are 2.5 inches apart on a map, then AB = 2.5 inches
The actual distance from wellspring to Boulder is WB
Since W is the midpoint of A and B, then AW = WB. The equation becomes;
WB + WB = AB
2WB = AB
WB = AB.2
WB = 2.5/2
WB = 1.25 inches
Hence the distance from wellspring to Boulder is 1.25inches.
Since 0.5 inches = 15 miles on the map,
1.25inches = x
Cross multiply;
0.5x = 15 * 1.25
0.5x = 18.75
x = 18.75/1.25
x = 75miles
Hence the actual distance from wellspring to Boulder is 75miles
What is the average rate of change of the function
f(x) = 2x + 8
over the interval [2, 6)?
The average rate of change of the function f(x) over the interval [tex][2, 6][/tex] is 2.
Important information:
The function is [tex]f(x)=2x+8[/tex].The given interval is [2,6].Average rate of change:The average rate of change of the function f(x) over the given interval [tex][a,b][/tex] is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
Using the above formula, we get
[tex]m=\dfrac{f(6)-f(2)}{6-2}[/tex]
[tex]m=\dfrac{(2(6)+8)-(2(2)+8)}{4}[/tex]
[tex]m=\dfrac{12+8-4-8}{4}[/tex]
[tex]m=\dfrac{8}{4}[/tex]
[tex]m=2[/tex]
Thus, the average rate of change of the function f(x) over the interval [tex][2, 6][/tex] is 2.
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Savion uses the escalator in the shopping mall to get to the ground floor from the underground garage located at (8,-5). Which of the following coordinates correspond to the location of the ground floor when undergoing a translation of 5 steps to the right and 11 steps upwards?
Answer choices:
(8,-5)
(13,6)
(13, -16)
(3,16)
Answer: the second option
Step-by-step explanation:
look at on a coordinate plane going left is decreasing ( negative) and he is already at 8,-5 so you add 5 to 8 to get 13 as the first coordinate add 11 to -5 and you'll get 6 therefore the coordinates are (13,6)
X + y = 9 x + 3y = 13 If (x,y) is the solution to the given system of equations, what is the value of y?
Answer:
D.) 3
Step-by-step explanation:
x + 3 = 8
x - 3 = 2
so that means x = 5 and y = 3
Rick and Jon start walking from the same location. Rick starts 15 seconds before Jon and walks at a rate of 3 feet per second. Jon walks at a rate of 4 feet per second in the same direction as Rick. Which equation could you solve to find how long it will take Jon to catch up with Rick?
Answer:
hfjf fnnc v jud dbhj ejem emd jfbf
Step-by-step explanation:
How many places do you need to move the decimal to the left to write the
number below in scientific notation?
12000000000
A. 10
B. 9
C. 11
O O
D. 6
Answer:
9
Step-by-step explanation:
the decimal always goes between the numbers that arent 0s
Answer:
it’s 9 because i don’t know I just saw someone else say that
Step-by-step explanation:
Graph a line that contains (-2,7) and a slope of 4
Answer:
The equation would be y = 4x + 15
Answer:
draw a line trogh the points (-2, 7) and ( -1,11)
Step-by-step explanation:
Plot the first point (-2,7) then go 4 up and 1 right (because the slope is
4 = 4 rise/1run ), plot that second point ( -2+1, 7+4) = (-1, 11), and connect them.
