The area of a triangle is found using the formula bh/2, where b is the base and h is the height. What is the area in square inches of a triangle with a height of 6 inches and a base of 8 inches?
Answer:
A = 24 in^2
Step-by-step explanation:
A = 1/2 bh
Let b = 8 and h = 6
A = 1/2 (8)(6)
A = 24 in^2
The area of a triangle is found using the formula bh/2, where b is the base and h is the height. What is the area in square inches of a triangle with a height of 6 inches and a base of 8 inches?
Solution :Given Data :
Height = 6 inches
Base = 8 inches
Formula for Area of traingle is :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \: \: \red{ \underline{ \red{ \overline{ \orange{ \boxed{ \pink{\frak{Area \: of \: Triangle = \frac{1}{2} × Base × Height }}}}}}}}[/tex]
So, putting the values of Base and Height we get
[tex] \leadsto \frak{Area = \frac{1}{2} × 8 \times 6 }[/tex]
[tex] \leadsto \frak{Area = \frac{1}{ \cancel2} × \cancel 8 \times 6 }[/tex]
[tex] \leadsto \frak{Area = 4 \times 6 }[/tex]
[tex] \leadsto \frak{Area = 24 \: {in}^{2} }[/tex]
Hence, the area of the traingle is 24 inches²
Write an absolute value equation to satisfy the given solution set shown on a number line.
<————•—————————-•——————->
-1/2 1/2 a
Thanks!
An absolute value equation to satisfy the given solution set shown on a number line is -1/2 ≤ a ≤ 1/2.
What is magnitude and sign?A number has both magnitude(its absolute value) and its sign(positive or negative).
Thus, for -5, the magnitude is 5, and sign is –ve.
Also, positive numbers > 0 > negative numbers.
In the number line we can clearly see that our possible values of a are in the range:
-1/2 ≤ a ≤ 1/2
And we need to find an absolute value equation such that this set is the set of possible solutions.
An example can be:
Ia - 1/2I ≤ 1/2
Notice; using the minor and equal sign, this is because the black dots means that the values a = -1/2 and a = 1/2 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.
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PLEASE HELP SOON AND TRY TO EXPLAIN.
Prove that if a, b, c, d are non zero real numbers, not all equal, and if a+1/b=b+1/c=c+1/d=d+1/a then |abcd|=1. Thx!
Answer:
because any number over 0 is 0 and if |abcd|=1 that it is not possible to be 0
Step-by-step explanation:
An adult ticket is twice the cost of a child's ticket. Angela paid $ 28 for two adult tickets and three children's tickets. Which of the
following equations could be used to find the price of a child's ticket?
(A) x + 2x = 28
(B) 3x + 2(2x) = 28
(C)3(2x) + 2x = 28
(D) 3x + 2x = 28
The following equations could be used to find the price of a child's ticket, 3x + 2(2x) = 28, the correct option is B.
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
The system of equations are used to solve complex problems.
Let the cost of child ticket is $x
An adult ticket is twice the cost of a child's ticket.
Let the cost of adult ticket is $2x
The total amount Angela paid is $28 for two adult tickets and three children's tickets.
The equation that will be formed is
4x + 3x = 28
It can also be written as 3x + 2(2x) = 28.
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Please help with these two problems and give an accurate explanation. Thank you!
The domain is all of the x-values a function can have. The range is all of the y-values a function can have.
#50.
Domain: [-5, 10]
---The function starts at the x-value -5 and stops at the x-value 10.
Range: [-3, 5]
---The smallest y-value is -3 and the largest y-value is 5.
#51.
Domain: [-2, infinity)
---The function starts at the x-value -2 and has an arrow to indicate that it goes on forever.
Range: [0, infinity)
---The smallest y-value is 0 and an arrow indicates that the functions goes up and on forever.
Hope this helps!
explain how to find the difference between 9^10/9^11 and 9^11/9^10
Answer:
jhv
Step-by-step explanation:
kjbb
Rearrange the equation so xxx is the independent variable.
-5x-4y=-8
y=
Answer:
[tex]\displaystyle x = \frac{4y - 8}{-5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle -5x - 4y = -8[/tex]
Step 2: Solve for x
[Addition Property of Equality] Add 4y on both sides: [tex]\displaystyle -5x = 4y - 8[/tex][Division Property of Equality] Divide -5 on both sides: [tex]\displaystyle x = \frac{4y - 8}{-5}[/tex]Answer:
4y-8/ -5
Step-by-step explanation:
A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table
Answer:
7(top left) 5(top right)
6(bottom left) 0(bottom right)
Answered by GAUTHMATH
Si a cero se le resta cualquier número entero el resultado siempre es el
mismo número, pero con signo positivo.
Please comment this in english.
Solve for x: 4x+9/2 1/3=3x/0.5
Answer:
1/3
Step-by-step explanation:
Please answer these two question please please I need helpppppp
Answer:
Step-by-step explanation:
10.
a. y=30x + 50
b. 30(2.5)+50= 125
c. y= 60x+100
d. 60(2.5)+100= 250
Answer:
10)
a) y = 50+30x
b) y=50+30(2.5)
50+75 = 125
c) y = 2(50+30x)
d) y=2(50+30(2.5))
2(50+75)
2(125) = 250
13)
a) P = 2 ( L + W )
10x+2
b) A = W L
5x+1
c) for A its 15x+3 and for B its 54 x 2 + 18 x
Rewrite 18y • 4x using the commutative property.
Answer:
(1)18y x 4x(1)
Step-by-step explanation:
HELP ASAP! PLSS! 1 over 3b = 4 over 5. Which of the following equals b in this equation?
22 over 5
11 over 8
2 over 5
1 over 4
50 POINTS
My neighborhood is full of one-way streets. To drive from my house to the grocery store, I have to go 1 block south, then 1 block east, then 5 blocks north, then 2 blocks east. Each block is 1/16 of a mile. How much shorter would my trip be if I could fly like a bird (that is, travel in a straight line)?
I FOUND THE distance for non bird which is 9/16. I wanna apply the pythagoreum theorum and draw a straight line to make it a triangle so I can do so but don't know where to place it
In triangle JKL, JKL is a right angle, KM and is an altitude. JL=20 and ML=15, find KL
Answer:
KL = 17.32
Step-by-step explanation:
KL² = (M L)(J L)
KL² = (15)(20)
KL²=300
√KL²= √300
KL = 17.32
Some 10-13 year olds were asked where to buy snacks. If 12% or 24 children, said a convenience store, how many children were asked to buy snacks?
Answer:
200 children
Step-by-step explanation:
so 12% is 24 children
12/24
simplify
1/2
1% is 2 children
multiply 1% by 100 to get 100%, along with 2 for the children
200 children
William has a 26-liter glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with water until it's completely full. If he uses 85 marbles, he will have to add 20.9 liters of of water.
What is the volume of each marble?
How much water is necessary if William uses 200 marbles?
Answer: 0.06/marble | 14 liters
The volume of the marbles is 26-20.9 = 5.1 l and there ar e85 marbles
5.1/85 = .06 l/marble
then 200 marbles would requrie .06 l/marble x 200 marbles = 12 liters
so he would only need 26-12= 14 liters of water to fill the tank !
Answer:
14 marbles
Step-by-step explanation:
Hey! Can anybody help? I’m stuck on this question
need help or some explaining
Answer:
Add all points to the drawing, then subtract the result,
Step-by-step explanation:
Fill in the blanks to complete the steps and solve the equation in the image attached.
S is being divided.
What is the opposite of subtracting 5?
Move 5 to the right side.
It is being divided by 6. What is the inverse of dividing by 6.
Multiply each side by 6.
Hope this helps!! :)
given m=-2 and y intercept (0,-2) find the equation of the line in standard form.
Answer:
the answer is -2x-y=2
Step-by-step explanation:
Ax+By=C
y=mx+b
y=2x-2
-2x-y=2
Answer:
y=−2x−2
Step-by-step explanation:
A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.
The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
In first swing = 10 m
In second swing = (9/10)10 m = 9 m
In the second swing = (9/10)9 =81/10
10, 9, 81/10,..
This is the geometric sequence with the first term being 10 and the common ratio being 9/10.
a = 10
r = 9/10
The sum of geometric sequence up to 25th terms:
S = a(1 - rⁿ)/(1 - r)
S = 10(1 - (9/10)²⁵)/(1 - 9/10)
S = 92.82 m
Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
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Can anyone please help?
Answer:
see below
Step-by-step explanation:
<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n
<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m
<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n
<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other
Answer:
<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n
<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m
<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n
<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other
Step-by-step explanation:
What is the Tenth COMMON FACTOR of 6 and 9? (DO NOT respond with the LCM of 6 and 9)
Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form or standard form. Express numbers as integers or simplified fractions.
The line passes through the point (-6, -2) and has a slope of 9.
Step-by-step explanation:
Given the following configurations, the followed may be constructed and fabricated into the following:
Point-Slope Form:
Point: (-6, -2).
Slope: 9
Y - y1 = m(x - x1)
Y + 2 = 9(x + 6)
Y + 2 = 18x + 48
Y = 18x + 46 <== Slope-Intercept Form.
-18x + y = 46 <== Standard (General) Form.
Thus, the ameliorated answer, subject to the proposed interrogated is identified as Y = 18x + 46, whom is the Slope-Intercept Form format, as well as -18x + y = 46, whom is, likewise, identified as the Standard (General) Form.
*I hope this helps.
Answer:
Given the following configurations, the followed may be constructed and fabricated into the following:
Point-Slope Form:
Point: (-6, -2).
Slope: 9
Y - y1 = m(x - x1)
Y + 2 = 9(x + 6)
Y + 2 = 18x + 48
Y = 18x + 46 <== Slope-Intercept Form.
-18x + y = 46 <== Standard (General) Form.
Thus, the ameliorated answer, subject to the proposed interrogated is identified as Y = 18x + 46, whom is the Slope-Intercept Form format, as well as -18x + y = 46, whom is, likewise, identified as the Standard (General) Form.
*I hope this helps.
Step-by-step explanation:
(07.06) Which of the following graphs shows all the possible values for a number that is more than 8?
In triangle JKL, JKL is a right angle, KM and is an altitude. JL=25 and JM=5, find KM
Answer:
50
Step-by-step explanation:
Modeling Real Life
Question:
At a town hall meeting, 37/50 of the members are present. Of those who are present, 1/2 vote in favor of a new park. What fraction of the members do not vote in favor of the new park?
Fraction:_______
The animal shelter needs to split 6 1/2 pounds of dog food equally among the 13 dogs in the facility. How much dog food will each dog receive?
Answer:
1/2 pound for each dog.
Step-by-step explanation:
Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?
You want the units to be pounds per dog or pounds/ number of dogs.
The numerator is 6.5
The denominator is dogs (13)
Food per dog = 6.5 / 13 = 1/2
Find the slope of the line that passes through the points A(–3, 1) and B(2, –5).
PLZ ANSWER ACCURATELY AND QUICKLY WILL MARK BRAINLIEST
Answer:
- 6/5
Step-by-step explanation:
To find the slope
m = ( y2-y1)/(x2-x1)
= ( -5-1)/(2- -3)
= (-5-1)/(2+3)
- 6/5
Answer:
-6/5 or -1 1/5
Step-by-step explanation:
The formula to find the slope with any 2 points of a line is rise/run, or
(y2-y1)/(x2-x1)
In this case, y2 is -5, y1 is 1, x1 is -3, and x2 is 2.
So, the slope is:
(-5-1)/(2-(-3))
-6/5 which, as a mixed number, is -1 1/5.
You can also graph out the points on a coordinate plane, draw the line between the points, and count the rise/run, but that might take a minute or two, which is not the best if you have a timed test.
