Answer: 36cm
Step-by-step explanation:
An isosceles triangle has 2 sides equal and one different from the other 2. Let's take the segment A C which measures 24cm as the base of our triangle, that means we'll have two equal unknown segments A B and B C. The perimeter of a shape is in simpler terms the distance right round it, therefore, if we add the length of all the three sides of the triangle we should get 96cm.
A C + A B + B C = 96cm
A B = B C
A C = 24cm
96cm - 24cm = 72cm
A B + B C = 72cm
72cm ÷ 2 = 36cm
The length of AB is 36 cm.
An Isosceles triangle ABC has two equal sides.
Let us consider that equal sides AB and CB are x.
Given that, AC = 24cm
Perimeter = AB + CB + AC
[tex]x+x+24=96\\\\2x=96-24=72\\\\x=72/2=36cm[/tex]
Therefore, the length of AB is 36 cm.
Learn more:
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Using the midpoint formula, determine the midpoint between the given coordinates. a. (-4, 4) and (-2, 2) M=( -3, ) b. (9, -10) and (-1, 26) M=( , )
Answer:
Step-by-step explanation:
a. (-4 - 2)/2 = -6/2= -3
(4 + 2)/2= 6/2 = 3
(-3, 3)
b. (9-1)/2= 8/2 = 4
(-10+26)/2= 16/2= 8
(4,8)
Give two more examples of irrational numbers between 10 and 11.
Do the following ratios form a proportion? 5/8, 9/14 OR 10/16, 18/28 BRAINLIEST AND 30 POINTS
Answer:
18/28
Step-by-step explanation:
-2(2u-3)+3u=3(u+8)
u=?
A quarterback is sacked for a loss of 4 yards. On the next play, his team loses 10 yards. Then the team gains 12 yards on the third play. Write an addition expression to represent the situation. Then find the sum and explain its meaning.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the question:
Play 1: Quarterback was sacked for a loss of 4 yards
Play 2 : Another loss of 10 yards
Play 3: a gain of 12 yards
Write an addition expression to represent the situation. Then find the sum and explain its meaning.
A loss of 4 yards = - 4
Loss of 10 yards = - 10
Gain of 12 yards = + 12
Addition expression for the scenario :
(-4) + (-10) + 12
Result :
-4 + (-10) + 12
= - 4 - 10 + 12
= - 14 + 12
= - 2
Hence, after two consecutive losses of 4 and 10 yards, the team wins 12 yards on the third play and the aggregate yards lost is reduced to 2 yards.
Find the height H of solid
what is the slope of (-5,4) and (7,8)
Given the following funtions: f (x) = x^2 g (x) = x-3 find the composition of the two functions and show your process: f (g(x))
Answer:
Step-by-step explanation:
g(x)= x - 3
f(x - 3) = (x - 3)^2 = x^2 - 6x + 9
In triangle $ABC,$ $AB = BC = 17$ and $AC = 16.$ Find the circumradius of triangle $ABC.$
Answer:
[tex]R = 9.63\ units[/tex]
Step-by-step explanation:
Given
[tex]AB = BC = 17[/tex]
[tex]AC = 16[/tex]
Required
Determine the circumradius, R
The circumradius is calculated as follows;
[tex]R = \frac{AB * BC * AC}{\sqrt{(AB + BC + AC)(AB + BC - AC)(AB + AC - BC)(AC + BC - AB)}}[/tex]
Substitute the values of AB, BC and AC
[tex]R = \frac{17 * 17 * 16}{\sqrt{(17 + 17 + 16)(17 + 17 - 16)(17 + 16 - 17)(16 + 17 - 17)}}[/tex]
Evaluate the denominator
[tex]R = \frac{17 * 17 * 16}{\sqrt{(50)(18)(16)(16)}}[/tex]
[tex]R = \frac{4624}{\sqrt{230400}}[/tex]
Take square root of 230400
[tex]R = \frac{4624}{480}[/tex]
[tex]R = 9.63\ units[/tex] (Approximated)
Hence, the circumradius is 9.63
Answer:
289/30
Step-by-step explanation:
Let the circumcenter be point O. We start by drawing line median BM. Since AB = BC, median BM is perpendicular to side AC.
Therefore, BM is part of the perpendicular bisector of AC and thus, must pass through point O.
We have AM = 8, so the Pythagorean Theorem applied to triangle ABM gives us BM = 15.
Let OA = x, our circumradius. Since O is equidistant from A and B, we have OB = x as well.
Therefore,
OM = BM - BO = 15 - x.
From right triangle OAM, we have (OA)^2 = (OM)^2 + (AM)^2.
Solving for x, we have 30x = 225 + 64.
So, x = 289/30.
8 blocks can build a house. Jimmy has 165 blocks, how many houses can he build? How many blocks will he have left?
Answer:
He can build 20 houses. He will have 5 left over.
Step-by-step explanation:
8 x 20 = 160
165 (total blocks) - 160 (highest possibility) = 5 (not enough to build a house, which is why they are left over)
Find the value of X on the equation below. Please explain step by step and I will mark you brainliest.
g=x-c+y
g = x - c + y
First, let's add c to both sides.
g + c = x + y
Now, let's subtract y from both sides.
g + c - y = x
Please help!,! Once again
Answer:
the answer is "dilation by a scale factor of 2 and a rotation of 90° counter clock wise about the origin"
z−4/9−1/3=5/9 Enter your answer as a fraction in simplest form in the box. z =
Answer:
z=12/9 or 4/3 or 1 1/3
Step-by-step explanation:
1/3 needs to have a denominator of 9 so 3/9 because 3x3=9 and you have to multiply the numerator by 3 also
z-4/9-3/9=5/9
add -4/9 and -3/9 because you add two negative numbers
new equation
z-7/9=5/9
add 7/9 to 5/9
z=12/9 or 4/3 or 1 1/3
A very large book is numbered to 1 to 11521 How many digits are used to print all these page numbers
Answer:
46,499 digits
Step-by-step explanation:
Total pages of book = 11,521
9 pages numbered 1 - 9 that need 1 digit each = 9 × 1
= 9 digits
90 pages numbered 10 - 99 that need 2 digits each = 90 × 2
= 180 digits
900 pages numbered 100 - 999 that need 3 digits each = 900 × 3
= 2,700 digits
9000 pages numbered 1000 - 9999 that need 4 digits each = 9000 × 4
= 36,000 digits
1522 pages numbered 1000 - 11521 that need 5 digits each = 1522 × 5
= 7,610 digits
Total digits needed = 9 digits + 180 digits + 2,700 digits + 36,000 digits + 7,610 digits
= 46,499 digits
Enter a fraction equivalent to 0.8. Use only whole numbers for numerator and denominator.
Answer:
4/5
Step-by-step explanation:
=>0.8
=>8/10
=>4/5
is this a. a function but no one-to-one B. a one-to.one C. not a function
===================================================
Explanation:
It is a function because it passes the vertical line test. We cannot draw a single vertical line through more than one point on the red curve. Any x input leads to exactly one and only one y output.
A similar test is the horizontal line test. We cannot draw a single horizontal line through more than one point on the red curve, so this red curve passes the horizontal line test. Each y is only paired with one x value only. This helps set up an inverse function.
-----------
In short:
If the curve passes the vertical line test, then we have a function
If the curve passes the horizontal line test, then it is one-to-one.
Determine which letter on the numberline best represents the radical(photo attached)
Answer:
The square root of 133 is 11.53. The closest to this number would be point D.
Would anyone happen to know this?! I need help please ASAP
Answer:
nope
Step-by-step explanation:
A. 20% increase
B. 10% increase
C. 20% decrease
D. 10% decrease
Answer:
C. 20% decrease
Step-by-step explanation:
[tex]Saturday = 50\\Sunday =40\\\\50-40 =10\\\\\frac{10}{50} \times \frac{100}{1} \\= \frac{1000}{50} \\\\Cross \:cancel common \:factor; 50\\\\= 20[/tex]
what is 21000 take away two thirds
Answer:
7000
Step-by-step explanation:
21000/0.667
=14000
21000-14000
=7000
If angle 1 and angle 2 form a linear pair and angle 1 is 18 degrees less than five times the measure of angle 2, then the angle 1 is _____ degrees
Answer:
Angle 1 is 147 degrees
Step-by-step explanation:
When two angles form a linear pair, then we have the intersection of two lines
So what this mean is that both angles lie on a straight line and the sum of both angles is 180.
Let the angle 2 be x
We are told that angle 1 is 18 degrees less than 5 times the measure of angle 2;
What we are saying here is that; angle 1 = 5x - 18
So let’s add both together to give 180
angle 1 + angle 2 = 180
x + 5x -18 = 180
6x = 180+ 18
6x = 198
x = 198/6
x = 33 degrees
But angle 1 is 5x -18 = 5(33) -18 = 165 -18 = 147 degrees
A contractor bought 34 loads of soil each weighing 12 tonnes at $13 per tonne. What was the total cost?
Answer:
$5304
Step-by-step explanation:
One load of soil is 12 tons.
Multiply 34 with 12: 34 x 12 = 408 tonnes in all.
Next, multiply the cost per tonne with the amount of tonnes:
408 x 13 = 5304
$5304 is the total cost.
~
all linear pairs and vertical pairs share the same...?
Answer:
Lines
Step-by-step explanation:
In both linear and vertical pairs share at least one line.
Hope This Helps :)
All linear pairs and vertical pairs share the same supplementary angle.
Linear pairs and vertical pairs are both types of angle pairs formed by intersecting lines or by the intersection of a line and a transversal.
1. Linear Pairs: A linear pair consists of two adjacent angles formed by two intersecting lines. The two angles in a linear pair are always supplementary, meaning their measures add up to 180 degrees. In other words, if one angle in a linear pair measures x degrees, then the other angle will measure (180 - x) degrees.
2. Vertical Pairs: Vertical angles are formed by the intersection of two lines. They are opposite angles that share a common vertex but are formed by different pairs of intersecting lines. Vertical angles are congruent, meaning they have the same measure. If one vertical angle measures x degrees, then the other vertical angle formed by the same pair of intersecting lines will also measure x degrees.
Therefore, both linear pairs and vertical pairs share the same property of having angles with equal measures. In the case of linear pairs, the angles are supplementary (their measures add up to 180 degrees), while in vertical pairs, the angles are congruent (they have the same measure).
To know more about linear pairs, refer here:
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2. The seventh grade class is putting on a variety show to raise
money. It cost $700 to rent the banquet hall that they are going to
use. If they charge $15 for each ticket, how many tickets do they
need to sell in order to raise at least $1000?
Answer:
67
Step-by-step explanation:
15 x 10 = 150
150 x 6 = 900
15 x 7 = 105
900 + 105 = 1005
closest to 1000 without decimals
with decimals 66.6666666667
Please mark brainliest
$1000 ÷ 15 = 66.67 ~ 67 tickets
someone please answer and give me a reason. hint: the answer isn’t 49.
Answer:
√37
Step-by-step explanation:
An irrational number is a number that never terminates nor repeats.
Let's go through each of the answer choices.
1) √100 is just 10. This is not irrational.
2) √81 is just 9. This is again not irrational.
3) √64 is 8. Not irrational.
4) √49 is 7. Again, not irrational.
5) √37 is 6.08276253... This number will never end and it doesn't repeat. Therefore, √37 is irrational.
And this is our answer.
And we're done!
Please answer my question i will mark brainlyest.
Step-by-step explanation:
2 * 6 - 15 / 3 * 8
= 12 - 5 * 8
= 12 - 40
= -26.
8x + 20 = 36
8x = 16
x = 2.
Yvonne's car with an 11-gallon gas tank gets an average of 32 miles per gallon. She travels 12 hours at an average speed of 64 miles per hour. Gas costs $3.25 per gallon. How much does the gasoline cost for this trip?
Answer:
$78
Step-by-step explanation:
Here we have to find total distance first then find amount of gasoline used based on distance traveled by car in one gallon.
_____________________________________________
Given
time = 12 hours
speed = 64 miles per hour
we know distance = speed * time
distance = 12*64 = 768 miles.
Thus, car ran 768 miles.
given that car gets an average of 32 miles per gallon.
It means in one gallon gasoline car travels 32 miles.
let the gallons used be x
in 1 gallon gasoline car travels 32 miles.
in 1*x gallon gasoline car travels 32*x miles = 32x
Thus, 32x should be equal to 768 miles as car traveled that much only
32x = 768 miles
x = 768/32 = 24
Thus, gallons of gasoline used is 24.
Cost of 1 gallon gasoline = $3.25
since, gallons found is 24, we multiply lHS and RHS by 24
Cost of 1 *24= 24 gallon gasoline = $3.25*24 = $78
Thus,
cost of 24 gallon is $78 which will be the gasoline cost for the trip.
Of the 400 employees,5% of them are park managers.How many managers does the park employee?
Answer:
16/5
Step-by-step explanation:
1600 diviudes by 100=16
Multiply total People by percentage:
400 x 0.05 = 20
There are 20 managers
-2x-10x+12=18
Help me plz
Answer x= - [tex]\frac{1}{2}[/tex]
Step-by-step explanation: -12x + 12 = 18 move constant to the right hand side and change its sign ( its + 12 :0)
-12x = 18- 12 caculate 18-12
-12x = 6
then divide both sides then you will get -1/2
What is the equivalent equation to: -6=3y
the answer for your question is y=−2