The height of the equilateral triangle when its side length is given as 8 inches is calculated to be 6.93 inches.
The equilateral triangle has all sides and angles equal. The angles are always equal to 60 degrees.
Given that,
Side length of the equilateral triangle = 8 inches
Angles = 60 degrees
Height = ?
Therefore, let us find the height of the triangle using the Pythagoras theorem,
c² = a² + b²
8² - 4² = b²
b² = 64 - 16
b² = 48
b = 6.93 inches
Thus, the height of the equilateral triangle is calculated to be 6.93 inches.
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Jerry bought baseball cards for $5.25 each, and then sold them for $6.30 each. How much profit, in dollars, did Jerry make for selling each one of the baseball cards?
Answer: $1.05
Step-by-step explanation:
The profit made will be calculated as the difference between the selling price and the cos price. This will be:
= Selling price - Cost price
= $6.30 - $5.25
= $1.05
Therefore, Jerry will make $1.05 profit on each baseball card that's sold.
Eric added up on a number line to find 4 over 5 minus 5 over 10
Answer: 4/5 minus 5/10 can be simplified as:
(4/5) - (5/10)
It can also be re-written as
(4/5) - (1/2)
To subtract these fractions, we need a common denominator, which is 10 in this case.
So it becomes
(4/5)(2/2) - (1/2)(5/5) = 8/10 - 5/10 = 3/10
So the result of 4/5 minus 5/10 is 3/10 on a number line.
Step-by-step explanation:
Find the equation of a line that passes through the points (1,2) and (5,6). Leave your answer in the form y=mx+c
Answer:
y=x+1
Step-by-step explanation:
first find the slope using the two coordinates:
use the slope formula- m=y^2-y^1/x^2-x^1
6-2/5-1
=4/4
=1
y=mx+b
now plug in one of the coordinates, and the slope we just found into the slope intercept formula
2=1(1)+b
2=1+b
subtract 1 from both sides
1=b
1=b; m=1,
y=x+1
If a = b, then ac = bc. This is called the
Answer:
Transitive property of equality
Step-by-step explanation:
And correct the errors in the following mathematical statement
Which statement.........
EMERGENCY i need thissss helpp. tysmm <33
need help with this kinda confusing
Answer:
m/_A= 84
Step-by-step explanation:
How to list the sides of a triangle in order from shortest to longest?
To list the sides of a triangle in order from shortest to longest, you can follow these steps - Measure the length of each side of the triangle using a ruler or measuring tape. Then, write down the lengths of each side in a list. Sort the list in ascending order. The shortest side will be at the top of the list, and the longest side will be at the bottom.
A triangle is a polygon with three sides. By the property of a triangle which is the sum of any two sides of a triangle is greater than the third side. This property is known as the "Triangle Inequality Theorem".
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Solve the system by substitution.
y = 3x – 2
y = 4x
Answer:
x = -2
y = -8
Step-by-step explanation:
y = 3x – 2
y = 4x
Substituting the second equation for y into the first
4x = 3x - 2
Subtract 3x from both sides
x = -2
plug in x = -2 into the second equation
y = 4(-2)
y = -8
John's free throw shooting percentage is 87%. If John shoots 12 free throws in the course of a game, what is the probability he makes exactly 10?
Answer:
0.2771
Step-by-step explanation:
This is a binomial probability question. "Makes" is what some writers call a "success." In the binomial probability distribution, the probability of r successes in n trials is
[tex]\binom{n}{r}p^r(1-p)^{n-r}[/tex]
p is the probability of "success." [tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex]
In this problem, n = 12, r = 10, p = 0.87 (the 87%).
The probability of exactly 10 made shots out of 12 attempted is
[tex]\binom{12}{10}(0.87)^10(1-0.87)^2 =66(0.87^10)(0.13)^2 \approx 0.2771[/tex]
Please help with question 7! BRAINLIEST to correct answer!
Answer:
x = 228
Step-by-step explanation:
pretty simple
Answer:
i'm pretty sure its C-228
Dulce the dog loves to go on walks.
Each morning she walks for 45 minutes.
She also goes for a 20 minute walk at
lunch, and an evening stroll for 1 hour
and 30 minutes. How long does she
walk each day?
HURRY!!
Find the gradient between the points (1,5)
and (-4,20)
Answer:
(20-5)/(-4-1)
15/-5= -3
Where is the quadrant 1?
The quadrant 1 of the graph is in the place of upper right quadrant.
the term graph in math is referred as a non-linear kind of data structure made up of nodes or vertices and edges
Here we have given that we have to find the place of quadrant 1.
In order to find that we must know that definition of quadrant in math that is one other than the region/part of a cartesian plane which is obtained when the two axes intersect each other and it is used to determine the position of a point in a plane.
As we all know that the first quadrant is in the upper right-hand corner of the plane.
And here we all also know that both x and y have positive values in this quadrant.
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How many dollars will Ms. Davis have saved after 30 weeks?
Ms. Davis has $54. 50 saved
• She will save $33. 25 each week for the next 30 weeks
• She will not spend any of the money
Enter your response here:
$1052 is the total saving og Ms. Davis after 30 weeks from the given point .
Given that:
Inital saving of Ms. Davis = $54.50
Ms. Davis has already saved $54.50 and plans to save an additional $33.25 each week for the next 30 weeks. This means that she will be adding a total of $33.25 x 30 = $997.50 to her savings over the next 30 weeks.
If she does not spend any of the money she has saved, her total savings will be :
sum of Initial saving and saving after 30 weeks
$54.50 + $997.50 = $1,052.00.
so the total saving is $1052.
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Round 806,713 to the nearest thousand and 7,925,024 also 6,481,525
Find the radius of a circle with an area of 167 π square
Answer:
r≈7.29
Step-by-step explanation:
Using the formula
A=πr^2
Solving for r
r=√A /π=√167/ π≈7.29094
25PTS don’t explain
Answer:
y = 2x+ 3
Step-by-step explanation:
Which expression is equivalent to (3/4n + 8n + 1/4n - 12)
Answer:
2n - 8 is your answer
Step-by-step explanation:
DONT SKIP URGENT , WILL GIVE BRAINLIEST
Question 2 of 5
What is the distance between points Cand D?
5
C(2, 1)
D (4.1)
-1
4 5
2
-
A. 5 units
B. 6 units
O C. 2 units
O D. 4 units
SUBMIT
Answer:
The distance between C and D is 6 units
Answer:
6
Step-by-step explanation:
Since this is a straight line, you literally count the boxes in between or you could just add up the x values but make the -2 positive because we’re counting distance, not something else.
I f a salesman get salary 1000 per month for selling 100 onion daily .. then what is the price of 1 onion
Answer:
3$
Step-by-step explanation:
∴In 1 day, he sells 100 onions
∴In 30 days, he sells (100×30) onions
=3000 onions
Again,
∴Selling 3000 onions, he gets 1000$
∴Selling 1 onion, he gets (3000÷1000)$
=3$
Hope this helps<3
and pls mark me as brainliest ❤️
Which relationships describe the angle pair x° and 157º? Select each correct answer. Complementary angles vertical angles supplementary angles adjacent angles Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees
Angles x° and 157° are neighboring because they share a shared vertex and side, preventing them from overlapping, the sum of any two angles on a straight line equals 180°.
what is angle ?Two lines converge at a common point to form an angle. They are expressed by the sign ° and are measured in degrees. Acute, right, obtuse, and reflex angles are four crucial types. There are 360° in a circle. Two rays (half-lines) combined into an angle have a single terminal. The latter is known as the vertex of the angle, while the rays are known as its sides, occasionally as its legs, and occasionally as its arms. The vertex of an angle is the point at which all points meet .
given
If two angles' sums are same, they are said to be supplementary.
If two angles' sums are same, they are said to be complimentary.
Each set of opposite angles generated by crossing lines are referred to as vertical angles. The term "adjacent angles" refers to two angles that share a common vertex and side but do not overlap.
Angles x° and 157° are neighboring because they share a shared vertex and side, preventing them from overlapping, and they are supplementary angles because the sum of any two angles on a straight line equals 180°.
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Can u please help............
Answer:
PF = 9
Step-by-step explanation:
the incentre of a triangle is equally distant from the triangle's 3 sides, that is
PD = PE = PF
using PD = PE to solve for x
5x - 6 = 3x ( subtract 3x from both sides )
2x - 6 = 0 ( add 6 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
then
PE = 3x = 3 × 3 = 9
PF = PE = 9
160 m of fencing to enclose a quadrilateral shape pen (3 sided) for a children's play area. Determine the shape of the children's play area that gives the maximum area.
Answer:
A square of side length 40 m will give the maximum area of the play area
Step-by-step explanation:
Mathematically, it has been established that a square gives the maximum area of a quadrilateral
Hence, for us to have a maximum area of the given perimeter, we have to divide the perimeter by 4 to get the side length of the square
From what we have, we know that the perimeter of the fencing is 160 m
To get the side length, we divide the perimeter by 4
Side length of the shape would be 160/4 = 40 m
Help a brother out with this one please.
Answer:
Volume:3000 Surface Area:1300
Step-by-step explanation:
To find the volume of a rectangular prism you times the length times the width and times the height which will give 3000. For the surface area it is 2(w(l)+h(l)+h(w)) which will equal to 1300. The length is 15, the width is 20, and the height is 10. Hope this helps!
in △JKL, if m∠J = 90° then∠K and∠L are
A) Acute
B) Obtuse
C) Congruent
D) Vertical
Answer:
acute
Step-by-step explanation:
since a full triangle is 180, angles K and L must be 90 when put TOGETHER so each one would have to be less than 90 :)
Answer:
Acute
Step-by-step explanation:
Since a triangle adds up to 180 subtract 90. this leaves you with 90 and since there are two angles it has to be less than 90 which is an acute angle
Hope this helps!
The number $m$ is a three-digit positive integer and is the product of the three distinct prime factors $x$, $y$ and $10x y$, where $x$ and $y$ are each less than 10. What is the largest possible value of $m$
largest possible value of $m$ is x=5, y =3, 10*5+3=53: 3 x 5 x 53 =795
What is prime factors ?A prime factor is a natural number, other than 1, whose only factors are 1 and itself. The first few prime numbers are actually 2, 3, 5, 7, 11, and so on.The simplest algorithm to find the prime factors of a number is to keep on dividing the original number by prime factors until we get the remainder equal to 1. For example, prime factorizing the number 30 we get, 30/2 = 15, 15/3 = 5, 5/5 = 1. Since we received the remainder, it cannot be further factorizedPrime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime numbers. A prime number is a number which has only two factors, i.e. 1 and the number itself.For example, 2 is a prime number which has two factors, 2 × 1. Whereas a composite number has more than two factors present in it. For example, 4 has three factors such as 1 × 2 ×To learn more about prime factors refers to:
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Marty invested $6,000 at 3% annual simple interest. When he withdrew the balance, he had made $720 in interest. How many years did he have the money invested?
F. 2
G. 10
H. 3
J. 4
Answer:
J
Step-by-step explanation:
Interest per year-6000*0.03, 180
720/180=4
show all your working please
Answer:
45 cm²
Step-by-step explanation:
area = ½×11×13×sin 39°
= 71.5 × 0.6294
= 45 cm²
HELP!!! Find the value of..
Answer:
The answer to your question is C, 15
Step-by-step explanation:
Answer is 15, C