Using Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=11^2-9^2[/tex]
[tex]\\ \sf\longmapsto P^2=121-81[/tex]
[tex]\\ \sf\longmapsto P^2=40[/tex]
[tex]\\ \sf\longmapsto P=\sqrt{40}[/tex]
[tex]\\ \sf\longmapsto P=6.2cm[/tex]
Step-by-step explanation:
Given,
Hypotenuse = 11 cm
Base (One of the given leg) = 9 cm
Therefore,
According to Pythagoras Theorem,
[tex] {base}^{2} + {height}^{2} = {hypotenuse}^{2} [/tex]
[tex] = > {(9)}^{2} + {height}^{2} = {(11)}^{2} [/tex]
[tex] = > {height}^{2} = {(11)}^{2} - {(9)}^{2} [/tex]
[tex] = > {height}^{2} = 121 - 81[/tex]
[tex] = > {height}^{2} = 4 0[/tex]
[tex] = > height = \sqrt{40} [/tex]
=> height = 6.3245553203
When rounded to nearest tenth,
=> height = 6.3
Hence,
Required length of other leg is 6.3 (Ans)
Picture shown!
Complete the remainder of the table for the given function rule
y= -3x+4
x | -8 -4 0 4 8
y | 28 ? ? ? ?
Answer:
see below
Step-by-step explanation:
y= -3x+4
Let x = -4
y= -3(-4) +4 = 12 +4 = 16
Let x = -0
y= -3(0) +4 = 0 +4 = 4
Let x = 4
y= -3(4) +4 = -12 +4 = -8
Let x = 8
y= -3(8) +4 = -24 +4 = -20
Can someone please help meee
Answer:
b
basically 5/8 goes to 1/2 0.8 times which is 4/5
Help anyone can help me do this question,I will mark brainlest.
Answer:
Step-by-step explanation:
Simplify the expression.
7(5 +t) - 4(t + 4)
7(5 + t) - 4(t + 4) = [
7(5 + t) - 4(t + 4) =
= 35 + 7t - 4t - 16 =
= 7t - 4t + 35 - 16 = 3t + 19
A train travelling at 30km/hour reaches a tunnel which is 9 times as long as the train. If the train takes 2 minutes to completely clear the tunnel, how long is the train?
Answer: 111.1 m
Step-by-step explanation:
(30*2)/60 = 1 km ( the tunnel length is 1 Km.)
1 Km = 1000 m.
1000/9 = 111.1 m.
a laptop computer is 1.05 centimeters thick
Answer:
yes and?
Step-by-step explanation:
2. Damian is monitoring the temperature of
the swimming pool. It is currently 86.8° and
cooling 0.5° per minute. After how many
minutes will the swimming pool be 80.8°?
a. Equation:
I think 12 minutes will pass until the tempature reaches 80.8
The number of minutes when the temperature of the swimming pool is 80.8° will be 12 minutes.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Damian is monitoring the temperature of the swimming pool. It is currently 86.8° and cooling 0.5° per minute. Then the equation will be
y = 86.8 - 0.5x
The number of minutes when the temperature of the swimming pool be 80.8° will be
80.8 = 86.8 - 0.5x
0.5x = 6
x = 12
The number of minutes when the temperature of the swimming pool is 80.8° will be 12 minutes.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
What is the midpoint of segment AB?
Answer:
(-1, -3.5)
Step-by-step explanation:
Use the midpoint formula by finding the points of A and B.
A = (-5, -4)
B = (3, -3)
Add the x-values of both coordinates to get the following:
[tex]3_{1} + -5_{2} = -2\\-2/2 = -1[/tex]
Midpoint = (-1, y)
Now we find the y-value by doing the same as we did to the x-coordinates of A and B.
[tex]-3_{1} + -4_{2} = -7\\-7/2 = -3.5[/tex]
Midpoint = (-1, -3.5)
What is 3x^2-5x-13=0
Answer:
D. 58
Step-by-step explanation:
Given, 3x+8x+4x=6x+63
⇒15x=6x+63
⇒9x=63
⇒x=7
Then 5x+23=5(7)+23
=35+23
=58
2+ (-3)^2 - (-1)
please explain! :3
Answer:
12
Step-by-step explanation:
Hello!
First of all you have to understand the order of operations.
PEMDAS
Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.
From this you can see that we first have to deal with the exponent, then multiplication, then the addition.
So we get 2+9-(-1)
The 9 is from -3^2
2+9+1
11+1
12.
Hope this helps!
What is Three-Quarters of Three-Quarters?
PLS HELP ME ON THIS QUESTION!!!
George has a storage unit already occupied by a large container that is the same height of the whole unit. How much space is left for storage?
Answer:
945 m³
Step-by-step explanation:
Space left for storage = Volume of storage unit - volume of the container
Storage unit:
length = l = 15.3 m
Height = h = 10 m
Width = w = 7 m
Volume of storage unit = l * w *h
= 15.3 *7* 10
= 1071 m³
Container:
length = l =4.2 m
Height = h = 10 m
Width = w = 3 m
Volume of container = l * w *h
= 4.2 *3* 10
= 126 m³
Space left = 1071 - 126 = 945 m³
How to simplify fractions (please also right down rules when doing so, ((like x+x = x or axa=)
Question is
-2a(2b-3a)
Answer:
[tex] - 2a(2b - 3a) = - 2a2b + 2a3a \\ = - 4ab + 6 {a}^{2} \\ thank \: you[/tex]
600 becomes 720 in 2 years when the interest is simple if the rate of interest is increased by 2% then what will be the total amount.
Hi
So: 720 -600 = 120
120 for two years makes 120/2 = 60 in a year .
60 from 600 is 600/60 = 10
Interest is 10 %
If interest in 2% more, then it's 12%.
I'm sure you can count 12% simple interest for two years, so I let you try.
good luck.
Write an equation that represents the line.
Use exact numbers
Answer:
y = 5/6x + 8/3
Step-by-step explanation:
y = mx + b (m is the slope, b is the y-intercept)
(-2, 1) (4, 6)
m = change in y / change in x
m = 5/6
y = 5/6x + b
Plugging in (4, 6):
6 = 5/6(4) + b
6 = 20/6 + b
36/6 = 20/6 + b
36/6 - 20/6 = b
b = 16/6
b = 8/3
y = 5/6x + 8/3
1) Lisa took a trip to Kuwait. upon leaving she decided to convert all of her dinars back into dollars . how many dollars did she receive if she exchanged 13 dinars at a rate of 1 dinar for every $3?
2) Willie bought one bunch of asparagus for $2. how many bunches of asparagus can Daniel buy if he has $12?
round your answer to the nearest whole number!!!
2a²-2ab-3b²+9 when a=3 and b=2
[tex]\\ \sf\longmapsto 2a^2-2ab-3b^2-9[/tex]
[tex]\\ \sf\longmapsto 2(3)^2-2(3)(2)-3(2)^2-9[/tex]
[tex]\\ \sf\longmapsto 2(9)-12-3(4)-9[/tex]
[tex]\\ \sf\longmapsto 18-12-12-9[/tex]
[tex]\\ \sf\longmapsto 6-18[/tex]
[tex]\\ \sf\longmapsto -12[/tex]
Answer:
3
Step-by-step explanation:
2(3)^2 - 2(3)(2) - 3(2)^2 + 9
2(9) - 12 - 3(4) + 9
18 - 12 - 12 + 9
= 3
Answer from Gauth math
Kent guessed that there were
2,473 candies in the jar.
What is the value of the 2?
Answer:
The value of the 2 is two-thousand
Step-by-step explanation:
Answer:
thousands
Step-by-step explanation:
thousands, hundreds tens ones
2 4 7 3
Find the approximate side length of a square game board with an area of 128 in2. HELP PLZ
Answer:
The side length is approximately 11.3 inches
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
128 = s^2
Take the square root of each side
sqrt(128) = sqrt(s^2)
11.3137085= s
The side length is approximately 11.3 inches
Answer:
11.3
Step-by-step explanation:
Formula for square: x^2 = A
Plug in:
x^2 = 128
√x^2 = √128
x = 11.3
Hope this helped.
You will be marked brainliest if you tell me how step by step.
A. 92x + 280 < 1,108
B. 280x + 92 > 1,108
C. 280x + 92 < 1,108
D. 92x + 280 > 1,108
Answer:
whats the question
Step-by-step explanation:
for me to help
If 6x^3 - (k+6)x^2 + 2kx - 25 is divided by 2x-5 remainder is o find the value of k.
Answer:
25
Step-by-step explanation:
6x³-(k+6)x²+2kx-25
2x-5=0
2x=5
x=5÷2=2.5
6(2.5³)-(k+6)(2.5²)+2(2.5)k -25=0
(6×15.625)-(6.25k+37.5)+(5k)-25=0
93.75-6.25k-37.5+5k-25=0
93.75-37.5-25=6.25k-5k
31.25=1.25k
k=25
I need help with this question...
Q: Five days last month it rained 6.5 inches. It rained 3.5 inches in 7 days last month. How many inches did it rain those 12 days?
Answer:
57 inches
Step-by-step explanation:
It rained 5*6.5+7*3.5=32.5+34.5=57 inches in the past 12 days
2
Write the decimal equivalent for 43
Choose the correct answer below.
2
O A. 4= = 4.666667
3
2
OB. 4= = 4.67
3
2
OC. 4- = 4.6
3
2
OD. 45 = 4.66
3
Answer:
C
Step-by-step explanation:
as it goes 4.66666666... forever.
A is just a rounded answer.
B would mean 4.6767676767...
and D is just truncated.
The function f(x) is graphed below. What is the value of f(-2)?
Answer:
f(-2) = 4
Step-by-step explanation:
Looking at the graph, at -2 the graph is at the point (-2,4). Therefore, the value of f(-2) is 4.
Mathematical Connections The triangle shown
is isosceles. Find the length of each side and the
perimeter.
#14
--------------------------------------
If a triangle is isosceles, it means that two sides have equal measures.The perimeter of a polygon is the sum of the lengths of all its sides.--------------------------------------
Value of n:
The two legs have the same length.One is [tex]5n - 17[/tex], and the other is [tex]2n + 1[/tex], thus:[tex]5n - 17 = 2n + 1[/tex]
[tex]5n - 2n = 1 + 17[/tex]
[tex]3n = 18[/tex]
[tex]n = \frac{18}{3}[/tex]
[tex]n = 6[/tex]
--------------------------------------
Lengths:
The lengths are given as functions of n, since n = 6:
[tex]5n - 17 = 5(6) - 17 = 30 - 17 = 13[/tex][tex]2n + 1 = 2(6) + 1 = 12 + 1 = 13[/tex][tex]n = 6[/tex]The length of the sides are: 13 cm, 13 cm and 6 cm.
--------------------------------------
Perimeter:
The perimeter is the sum of the lengths of all sides, so: 13 + 13 + 6 = 32 cm.
A similar question is given at https://brainly.com/question/6139098
“Give the perimeter for each figure as a simplified expression”
Jonathan took 5 minutes to walk to the bus-stop, then spent 63 minutes waiting for the bus. If the bus journey to his school took 10 minutes, how much time did he take to reach his school?
Answer:
78 minutes or 1 hour and 18 minutes
Step-by-step explanation:
Add 5 and 63 and 10
G
Antranig has a glass that holds 9.75 fluid ounces. He drinks 3.5 glasses of water in one day. To the nearest hundredth of a fluid ounce, how much water does Antranig drink?
He drinks about ounces of water
(Do not round antil the final answer. Then round to the nearest hundredth as needed.)
HELP MAN
Answer:
34.13 ounces
Step-by-step explanation:
Total amount of water drunk=3.5*9.75=34.13
HELLLPPPPP!!!!!!!!!!!!!!!!!!
Answer:
1}6 times
Step-by-step explanation:
The highest number of president born in Virginia minus the highest number of president born in Texas2}Yes.New York and Mast has the same number of president which is four
3}Yes,this can be done using piechart.
4}I am still working on this question
If f(x) = x4 + 2x3 – 5x2-x + 6,
what would be the list of
q
possible rational roots?
Arrange your list from smallest to
largest
P =
= [?], [ ], [ ], [ ],[],[],[],[]
Qlo
Enter the number that belongs in the green box.
Enter
Answer:
Hello,
Step-by-step explanation:
possible rational roots are:
-6/1
-3/1
-2,/1
-1/1
1/1
2/1
3/1
6/1