What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.
The area of the triangle will be 5/8 square feet.
What is triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.
In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Area: ½ × base × heightPerimeter: sum of side lengths of the triangleNumber of vertices: 3Number of edges: 3Internal angle: 60° (for equilateral)Sum of interior angles: 180°Right angle: 90 degreesGiven is a triangle as shown in the image.
Now, the area of triangle will can be written as -
[A] = 1/2 x [b] x [h]
[A] = 1/2 x 5/3 x 3/4
[A] = 1/2 x 5/4
[A] = 5/8 square feet
Therefore, the area of the triangle will be 5/8 square feet.
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express each x in terms of y:
1. 2x - 3 = y
2. 2 + 2x -1 = 4y
3. 2A + 4x + 3B = 10
Answer:
1/2y+3/2
2y+-1/2
-3/2b-2x+5
Step-by-step explanation:
find the x- and y- intercepts of the following polynomial functions:
2. P(x) = x⁴ - 2x² + 1
3. P(x) = x (x- 1/2) (x + 4) (x - 1)
4. P(x) = x3 - 2x² - 4x + 8
5. P(x) = (x + 2) (x + 5) (x - 3) (x - 4)
Answer:
2. x-intercepts:(1,0),(-1,0) y-intercept:(0,1)
3.x-intercepts:(0,0),(1/2,0),(-4,0),(1,0) y-intercept:(0,0)
4.x-intercepts:(2,0),(-2,0) y-intercept:(0,8)
5.x-intercepts:(-2,0),(-5,0),(3,0),(4,0) y-intercept:(0,120)
find the slope of line that passes through the following points: (-3,5) (-3,8)
Answer:
the slope is infinite or undefined
Step-by-step explanation:
y2-y1/x2-x1=3/0
HELP PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!11111
Answer:
16(0.5x - 0.75y + 2)
Step-by-step explanation:
16 x 0.5 = 8
16 x -0.75 = -12
16 x 2 = 32
Answer:
16(0.5x - 0.75y + 2)
Step-by-step explanation:-
1. 16 x 0.5 = 8
2. 16 x -0.75 = -12
3. 16 x 2 = 32
Given that one of the angles in a triangle is 60°,
select the correct option for each statement.
Cannot be true Might be true
Must be true
(i)
The triangle
is scalene
A
B
С
(ii)
The other two angles
add up to 120°
А
B
С
A
B
The other two angles
of the triangle
are obtuse
The triangle is
right-angled
С
(iv)
A
B
С
Answer:
B, C, A, B
Step-by-step explanation:
i. 60+ 10 +110 = 180 ( so it can be scalene)
ii. 60 +120 =180 ( they have to, to make a triangle)
iii. Obtuse is 90 degrees or more
iv. 90 +60+30=180 (so it can be)
On a snow day, Hunter created two snowmen in his backyard. Snowman A
was built to a height of 35 inches and Snowman B was built to a height of 50
inches. The next day, the temperature increased and both snowmen began to
melt. At sunrise, Snowman A's height decrease by 4 inches per hour and
Snowman B's height decreased by 7 inches per hour. Let A represent the
height of Snowman At hours after sunrise and let B represent the height of
Snowman B t hours after sunrise. Write an equation for each situation, in
terms of t, and determine how tall each snowman is when they are the same
height.
Answer:
A = 35 - 4t
B = 50 - 7t
Height = 15 inches
Step-by-step explanation:
Given that:
Height of snowman A = 35 inches
Height of snowman B = 50 inches
Height decrease of snowman A = 4 inches per hour
Height decrease of snowman B = 7 inches per hour
t = number of hours
A = 35 - 4t Eqn 1
B = 50 - 7t Eqn 2
At same height,
Eqn 1 = Eqn 2
35 - 4t = 50 - 7t
-4t + 7t = 50 - 35
3t = 15
Dividing both sides by 3
[tex]\frac{3t}{3}=\frac{15}{3}\\t=5[/tex]
Putting t=5 in both equations
A = 35 - 4(5) = 35 - 20 = 15 inches
B = 50 - 7(5) = 50 - 35 = 15 inches
Hence,
A = 35 - 4t
B = 50 - 7t
Height = 15 inches
The equation should be
A = 35 - 4t
B = 50 - 7t
And, the Height = 15 inches
Calculation of the equation and height;
Since
Height of snowman A = 35 inches
Height of snowman B = 50 inches
Height decrease of snowman A = 4 inches per hour
Height decrease of snowman B = 7 inches per hour
Here, t = number of hours
So, the equation should be
A = 35 - 4t
B = 50 - 7t
Now for the same height
35 - 4t = 50 - 7t
-4t + 7t = 50 - 35
3t = 15
t = 15
So,
A = 35 - 4(5) = 35 - 20 = 15 inches
B = 50 - 7(5) = 50 - 35 = 15 inches
learn more about height here: https://brainly.com/question/17231109
Four fifths of the children in a school are boys. Five eighths of the girls in the school are right-handed. What fraction of the children in the school are left-handed girls?
Answer:
See below
Step-by-step explanation:
Let x rep right handed
Then,
5/8× x
= 5x/8
Since 4/5 are boys
1 - 4/5
1/4
Then,
5x/8 = 1/4
20x = 8
x = 8/20
x = 2/5
Therefore, the fraction of the girls in the school that are left handed is 2/5
A jar contains 15 red marbles, 10 green marbles, and 11 blue marbles. What is the probability that a marble chosen at random from the jar will NOT be green?
Answer:
Quantity A is greater.
Step-by-step explanation:
Note that there are 16 total marbles. A is simply a set of sequential events. On the first, you have 10/16 chances to draw a red. Supposing this red is not replaced, the chance of drawing a second red will be 9/15; therefore, the probability of A is (10/16) * (9/15) = 0.375. Event B is translated into 2 events: Blue + (White or Red) or (White or Red) + Blue. The probabilities of each of these events, added together would be (2/16) * (14/15) + (14/16) * (2/15) = 0.2333333333; therefore, A is more probable.
To stay healthy kevins doctor said he should try to consume at most 2000 calories a day write an inequality to show the amount of calories Kevin should consume
Answer:
C ≤ 2,000 calories
Step-by-step explanation:
Here, we want to write an inequality
Let the number of amount of calories to be consumed be C
The term at most means that it cannot pass 2,000
Hence, it must be lesser than this
So the inequality will be;
C ≤ 2,000 calories
PLSSSSS PLS HELPP ITS DUE SOON
Answer:
C
Step-by-step explanation:
[tex]let\\T = ax+b\\(x, T) = (6, 76) => 6a+b = 76\\(x, T) = (12, 49) => 12a+b = 49\\Subtract\\6a = -27 => a = -4.5\\Substitute\\b = 76+27=103\\\\T = -4.5x + 103[/tex]
Answer:
c) -4.5 x +103
Step-by-step explanation:
If you apply the changes below to the absolute value parent function, f(x) = |x|
what is the equation of the new function?
• Shift 8 units left,
• Shift 3 units down,
O A. g(x) =|x- 8|- 3
B. g(x) = |x - 3|- 8
OC. gx) =|x-3|+ 8
D. g(x) = |x+ 8|-3
Answer:
its d because inside the abs value thing ur gonn take that +8 and do the opposite of what it says so negative 8 to the left then ur just gonna go down negative 3
I need help remember taking the square root of a number is the inverse/opposite of squaring number
Solve the system by substitution.
y=X - 8
y = 2x – 14.
Hey there!
The answer to your question is (6, -2)
To solve for substitution, we simply make the right side of the equations equal to each other:
[tex]x-8=2x-14[/tex]
Add [tex]14[/tex] to both sides:
[tex]x + 6 = 2x[/tex]
Subtract [tex]x[/tex] from both sides
[tex]6=x[/tex]
Now, we have to solve for [tex]y[/tex], and we can do so by plugging in the value of [tex]x[/tex] in to one of the equations:
[tex]y = 6 - 8[/tex]
[tex]y = -2[/tex]
Therefore, your solution is (6, -2)
Have a terrificly amazing day!
Suppose your friend's parents invest $ 10,000 in an account paying 7% compounded annually. What will the balance be after 8 years?
- this is a simple interest question, so you should know the formula for this.
simple interest: i = prt
i - interest
p - principle amount (deposit)
r - rate
t - time in years
the problem: -- this is a two step question, since its asking for the balance.
i = prt
i = 10,000(0.07)(8)
i = 5600
- remember this is just the interest, NOT the balance.
to find the balance:
5600 + 10000 = 15600
FINAL ANSWER:
$15,600
-- let me know if you have any questions regarding this.
whats the answer for (x) 1/2 (8x-6)=-1/3(9x-12)
Answer:
1/2(8x-6)=-1/3(9x-12)
We move all terms to the left:
1/2(8x-6)-(-1/3(9x-12))=0
Domain of the equation: 2(8x-6)!=0
x∈R
Domain of the equation: 3(9x-12))!=0
x∈R
We calculate fractions
(3x9/(2(8x-6)*3(9x-12)))+(-(-2x8)/(2(8x-6)*3(9x-12)))=0
We calculate terms in parentheses: +(3x9/(2(8x-6)*3(9x-12))), so:
3x9/(2(8x-6)*3(9x-12))
We multiply all the terms by the denominator
3x9
We add all the numbers together, and all the variables
3x^9
We do not support expression: x^9
I would appreaciate if i got brainliest
HELP PLEASE LOTS OF POINTS!!
Answer:
Thus, f and g are inverse functions
Step-by-step explanation:
Inverse Functions
If two functions f(x) and g(x) are inverses, then it follows that:
[tex]f\circ g(x)=x[/tex]
Or:
[tex]g\circ f(x)=x[/tex]
We are given
[tex]\displaystyle f(x)=\frac{1}{4}x-6[/tex]
[tex]g(x)=4x+24[/tex]
Let's test if they are inverse functions:
[tex]f\circ g(x)=\frac{1}{4}(4x+24)-6[/tex]
Simplifying:
[tex]f\circ g(x)=x+6-6=x[/tex]
Now find:
[tex]\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24[/tex]
Operating:
[tex]\displaystyle g\circ f(x)=x-24+24=x[/tex]
Thus, f and g are inverse functions
2512=3.14(r2)(8)
What is the diameter???
Help please!!!!!!
Answer:
r = 10 or -10
Step-by-step explanation:
Round 503.782 to the nearest tenth.
Answer:
503.8
Step-by-step explanation:
Since in the hundredth place you have a number higher than 5, we want to round the tenth digit up by one to get 503.8.
Answer:
503.8
Step-by-step explanation:
Students at Mr. Mackie’s art class went outside to draw a rainbow, which follows a parabolic path and has the equation of = −0.1( − 1) + 6, where and are measured in centimeters. Graph the function.
If the height of the rainbow is 6 cm, how far away are the end points of the rainbow from one another?
HELP!!
Answer:
We were given the equation of a rainbow, which follows a parabolic path, which is
By comparing to the vertex form,
We have the vertex at (h,k)=(1,6)
Since a=-0.1<0, the parabola opens down.
At y-intercept, x=0.
Step-by-step explanation:
Carol is mixing pink paint. The ratio of red to white paint is 2:1. If carol uses 6 part red paint. How much white paint does she need?
Answer:
3
Step-by-step explanation:
Because the ratio is 2:1, you would divide the number of red parts by 2.
Answer:
She will need 3 parts white paint
Step-by-step explanation:
Lets make a proportion:
2 : 1
6 : x
We know that 2 = 6 in this problem are the same values, red paint
6/2 = 3 3 IS THE CONSTANT OF PROPORITIONALITY
Now, 1 x 3 = 3
1 = 3 in this problem are the same values, white paint
SHE NEEDS 3 PARTS WHITE PAINT
Need help with this please answer :( I’m not good at math at all
5x + 4y = -7
-5x - 2y = 1
Answer:
y=-3
x=1
(1,-3)
Step-by-step explanation:
5x+4y=-7
-5x-2y=1
Cancel +5x - 5
2y=-6
y=-3
5x-12=-7 or -5x+6=1
5x=5 -5x=-5
x=1 x=1
Answer:
y = -3, x = 1
or
(1, -3)
Step-by-step explanation:
5x + 4y = -7
-5x - 2y = 1
add the two equations together
0x + 2y = -6
2y = -6
2y/2 = -6/2
y = -6/2
y = -3
now substitute y = -3 into either of the equations
5x + 4y = -7
5x + 4(-3) = -7
5x - 12 = -7
5x = -7 + 12
5x = 5
x = 1
Divide 7.65 / 0.35 please help
Which of the following is not an expression? A. 5x + 6, B. 2b = 0, C. -10.6, D. 2/3t - 1/8
Answer:
C is the answer
Solve for r.
7(r + 1) = 20.3
Answer:
r = 1.9
Step-by-step explanation:
7r + 7 = 20.3
- 7 - 7
7r = 13.3
divide by 7
r = 1.9
Answer:
r = 1.9
Step-by-step explanation:
7(r + 1) = 20.3
Multiply the parenthesis by 7:
7r + 7 = 20.3
Subtract 7 from each side:
7r = 13.3
Divide 13.3 by 7 to find r:
r = 1.9
Find the volume. Round to nearest hundredth
Answer:
2pir^2 + 2pirh
2(pi)(3.2)^2+2pi(3.2)(8)
=225.19
=225.2
On the grid draw the graph of x+y=6 for values of X between -2 and 3.
Please help me.
No picture included
nice pic dear :)Step-by-step explanation:
How much honey does a beekeeper take from the hive
Please help ASAP. this isn't a quiz
Answer:
people fall in love in a serois way.
Step-by-step explanation:
Write the first five terms of the arithmetic sequence. First term: -10 and common difference: 2
Answer:
The first five terms of the arithmetic sequence.
-10 , -8 , -6 , -4 ,-2 ..........
Step-by-step explanation:
Explanation
Given that the first term is -10 and common difference d = 2
we know that the sequence in A.P
a ,a+d ,a+2d,a+3d ,a+4d........... are in AP
-10, -10+2, -10+2(2), -10+3(2) , -10+4(2)..................
-10 , -8 , -6 , -4 ,-2 ..........
Final answer:-
The first five terms of the arithmetic sequence.
-10 , -8 , -6 , -4 ,-2 ..........
