Which statement best describes the area of Triangle ABC shown below?
А
с
00
(5 points)
O It is twice the area of a square of side length 4 units.
O It is one-half the area of a square of side length 4 units.
It is twice the area of a rectangle with sides 4 units x 3 units.
It is one-half the area of a rectangle with sides 4 units x 3 units.
Answers
Answer:
Would be the 3rd one I believe
Step-by-step explanation:
The statement that is true is:
It is one-half the area of a rectangle with sides of 4 units x 3 units is true.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The area of the triangle.
= 1/2 x base x height
Now,
Base = 4 units
Heights = 3 units
So,
Area = 1/2 x 4 x 3 = 6 units²
Now,
It is twice the area of a square of the side length of 4 units.
6 units² < 16 units²
This is not true.
It is one-half the area of a square of side length 4 units.
1/2 x 16 units² = 6 units²
8 units² = 6 units²
This is not true.
It is twice the area of a rectangle with sides 4 units x 3 units.
2 x 12 units² = 6 units²
24 units² = 6 units²
This is not true.
It is one-half the area of a rectangle with sides 4 units x 3 units.
1/2 x (4 x 3) units² = 6 units²
6 units² = 6 units²
This is true.
Thus,
It is one-half the area of a rectangle with sides of 4 units x 3 units is true.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ7
Related Questions
Q1 Expand the following brackets
(a) 5(y + 3) (b) 4(a + 2)
(c) 8(W + 10)
(
(e) 9(s - 1)
(f) 2(8-t)
(g) 7(4 + h)
(i) 4(3y + 2)
6) 5(2p - 1)
(k) 3(7a +2)
Answers
Answer:
[tex]a)5y + 15 \\ b)4a + 8 \\ c)8w + 80 \\ e)9s - 9 \\ \: f)16 - 2t \\ \: g)28 + 7h \\ \: i)12y + 8 \\ \: 6)10p - 5 \: \\ k)21a + 6[/tex]
[tex]plzz \: \: mark \: as \: brainliest[/tex]
Simplify the expression by combining all the like terms 6+2x+5+4x
Answers
Answer:
6x+11
Step-by-step explanation:
6+2x+5+4x
4x+2x+6+5
(4x+2x)+(6+5)
6x+11
Answer:
6x +11
Step-by-step explanation:
group like terms (terms with the same variable and powers) together
(2x+4x) + (6+5)
6x +11
A man covers 1000meters when he completes five rounds around a square field. what would be the length of the field?
Answers
1000/5=200 metres= 1 round
Perimeter of square = 4 times length
4 times length =200
Length =200/4
Length =50 metres
The floor of a rectangular living room is 12 feet by 16 feet. What is the distance between
opposite corners of the living room?
Answers
Answer:
The width of Dana's living room is 16 feet.
Explanation:
Because Dana's living room is rectangular and we are given the length of one side and the length of the diagonal we can use the Pythagorean Theorem to solve this problem.
For a right triangle which the length, width and diagonal make up the Pythagorean Theorem states:
a
2
+
b
2
=
c
2
Let the length of 12 be
a
and because the diagonal is the hypotenuse of the triangle (the side opposite the right angle) we let
c
be 20. Substituting and solving gives:
12
2
+
b
2
=
20
2
144
+
b
2
=
400
144
−
144
+
b
2
=
400
−
144
0
+
b
2
=
256
b
2
=
256
√
b
2
=
√
256
b
=
16
Which statement is not true in the
equation
y = 0.5x?
Answers
Answer:
Are there set answers? Ill edit my answer after.
Step-by-step explanation:
The "h" in the lateral area formula, L = Ph, stands for
Answers
Find the scale factor
A. 3.5
B. 3/5
C. 35
Answers
Answer:
3.5
Step-by-step explanation:
35/10 = 3.5
A coin is tossed 30 times. The experimental probability of the coin showing tails is 40%. How many times did the coin show heads?
Answers
Answer: 10 i just had this question
ep-by-step explanation:
Answer:
18
Step-by-step explanation:
Just find the other 60 percent of 30 so just multiply it by 6/10 which is 18
Ms. Johnson is drawing a floor plan of her square room that has an area of 100 ft2. She is using the scale of 0.5 inch =2 ft. What is the length of her room on the floor plan?
Answers
Answer:
it's 2.5 inches cool profile pic to
Step-by-step explanation:
Donald's Earnings, x (dollars) Fallons Earnings, y 38 45 43 50 48 55 53 60 58 65 Which equation best represents Fallon's earnings in terms of Donald's earnings? A. y=x+7 B. X=7y C. y=7x D. x=y+7
Answers
Given:
The table of values for Fallon's earnings in terms of Donald's earnings.
To find:
The equation that best represents Fallon's earnings in terms of Donald's earnings.
Solution:
In the given table the x-values are increasing by 5 units and y values increasing by 5 units. It means the rate of change of y with respect to x is constant and the table represents a linear function.
If the graph of a linear function passes through two points, then the equation of linear function is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Consider any two points from the table. Let the two points are (38,45) and (43, 50). Then, the equation is
[tex]y-45=\dfrac{50-45}{43-38}(x-38)[/tex]
[tex]y-45=\dfrac{5}{5}(x-38)[/tex]
[tex]y-45=1(x-38)[/tex]
[tex]y-45=x-38[/tex]
Adding 45 on both sides, we get
[tex]y=x-38+45[/tex]
[tex]y=x+7[/tex]
Therefore, the correct option is A.
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal
costs $78.86 before the discount, and they leave a 20% tip. If the tip applies to the cost of
the meal before the discount, what is the total cost of the meal? Round your intermediate
calculations and answer to the nearest cent.
Answers
Answer: $80.44
Step-by-step explanation:
First of all, find 20% of 78.86, which is approximately 15.77.
Then, add it to the cost of the meal.
Finally, discount 15% of 94.63, which is approximately $14.19, and then subtract it from $94.63, and there's your answer.
Each serving of food at an awards lunch costs $10.46. A total of 42 people attend the lunch.
What is the total cost for the food at awards lunch?
Enter your answer in the box.
Answers
Answer:$439.32 us$
Step-by-step explanation: $10.46 x 42
Answer:
439.32
Step-by-step explanation:
I took da test
Answer each question based on the graph below. How many solutions does this system have? ___________________ List the solution(s) to this system ____________________ What is the x-intercept of the linear equation? ____________________ What is the y-intercept of the quadratic equation? ____________________
Answers
add x³-2x²y+4xy²-y³,2x³-5xy²+3x²y-4y³
Answers
Answer:
Step-by-step explanation:
.......................................
A cylinder has a base radius of 10m a height of 18m. What is its volume in cubic
m, to the nearest tenths place?
Answers
Answer:
5656 m^3
Step-by-step explanation:
Volume of a cylinder can be calculated using below formula
V = πr²h
Where
h= height =18m
r= radius= radius = 10m
If we substitute the values we have
V = π × (10)²× 18
= 5655.6 m^3
= 5656 m^3
Answer: 5654.9
Step-by-step explanation:
Which relation is a function?
{(3, 4), (2, 4), (5, 1), (3, 5)}
{(1, 4), (1, 3), (1, 2), (1, 1)}
{(1, 3), (2, 6), (3, 9), (4, 12)}
{(3, 4), (3, 3), (1, 2), (1, 5)}
Answers
Answer:
its 1
Step-by-step explanation:
look it up big dig daddy
explanation:
for it to be a function an x-value can never be the same. so therefore it’s the 3rd one.
Mrs. Smith took her bird to the vet. Tweety weighed 1 and 3/10 pounds. The vet said that Tweety weighed 4/10
pound more last year. How much did Tweety weigh last year?
Answers
(or 1 7/10)
Hal earns $5 a week doing chores for his parents. He also earns $10 a week for each dog, d, he walks
Write an equation to find m, the total amount of money Hal earns in one week. Which variable in the equation is the dependent variable and which variable is the independent variable? Tell how you know
Answers
Answer:
Step-by-step ex
Please help I’ll mark you brainly!
Answers
9514 1404 393
Answer:
A. f(x) = (x -3)² -1
B. vertex: (3, -1); axis of symmetry: x=3; x-intercepts: {2, 4}; y-intercept: 8
C. see attached for a graph
Step-by-step explanation:
A. Put the function in vertex form by completing the square. Start by putting parentheses around the terms containing x.
f(x) = (x² -6x) +8
Now, identify the coefficient of x (-6) and square half of that. (-6/2)² = 9. Add this value inside parentheses, and subtract this value outside parentheses.
f(x) = (x² -6x +9) +8 -9
Rewrite the trinomial in parentheses as a square. The constant in the binomial will be the value you squared in the previous step.
f(x) = (x -3)² -1 . . . . . vertex form; a(x -h)²+k for vertex (h, k)
__
B. The vertex and the axis of symmetry can be read from the equation. Here, the vertex is (3, -1). The axis of symmetry is the vertical line through the vertex: x = 3. The x-intercepts are found by solving f(x) = 0.
f(x) = 0
(x -3)² -1 = 0
(x -3)² = 1 . . . . . add the opposite of the 'k' value
x -3 = ±√1 . . . . take the square root. We need both signs.
x = 3 ± 1 . . . . . add 3 to get x by itself. These are the x-intercepts.
x = 3-1 = 2 and x = 3+1 = 4
The x-intercepts are 2 and 4, points (2, 0) and (4, 0).
The y-intercept is the value of f(0). It is the constant in the original form of the function. f(0) = 8 . . . . y-intercept
__
C. The graph is attached. The various points above are marked, and the axis of symmetry is shown.
The figure below shows a right triangle:
What is r ÷ p equal to? (6 points)
Group of answer choices
A. sin y°
B. sin x°
C. tan y°
D. tan x°
Answers
Answer:
tan y°
Step-by-step explanation:
by using the Sine Rule (See attached), we can form the equation:
[tex]\frac{r}{sin (y)} = \frac{p}{sin (x)}[/tex]
rearranging this, we get:
[tex]\frac{r}{p} =\frac{sin(y)}{sin(x)}[/tex] ---------------------eq 1
Recall that all internal angles of a triangle must sum to 180°. we observe that we have a right triangle where one of the angles is 90°. It then follows that the sum of the other two angles must sum to 90°
i.e x + y = 90°
with a little rearranging, we get
x = (90° - y)
Substituting this into eq 1 above, we get:
[tex]\frac{r}{p} =\frac{sin(y)}{sin(90- y)}[/tex] ---------eq 2
recall that from the trigonometric co-function identities,
sin (90°- y) = cos y
substituting this into eq 2 gives :
[tex]\frac{r}{p} =\frac{sin(y)}{cos(y)} = tan(y)[/tex] (answer)
Find DC (Image Below)
Answers
Answer:
79239729379249
Step-by-step explanation:
your aswer is 284389300 oo
(this is about Write Expressions)
~~
Eric is 3 times older than his sister Alyssa. Eric is 15 years old. Create an equation to find out Alyssa's age
Answers
Answer:
the answer is five because 3 times 5 is 15
Step-by-step explanation:
Answer:
Equation : - three times a number is equal to 15
3x = 15
x = 15 ÷ 3
x = 5
A bicycle shop is selling $500 bikes at 10% off. If the sales tax is 7%, how much will the bike cost?
Answers
Answer:
The bike will cost $481.50
because
10% off of 500 is 50
so 500 - 50 = 450
Now include the sales tax which is
450 * 0.07 = 31.5
Now add the two totals to get
$481.50
Plzzzzzzzz HELP!!!!!!
Answers
help! A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.18?
Answers
Answer
Step-by-ste$6.48- $6.00= $.48
.48÷ 6.0= 0.08
0.08 = 8%
tax rate is 8%
p explanation:
Answer:
3%
Step-by-step explanation:
6.18-6.00 = .18
.18/6.00= .03
.03= 3%
Jose has scored 555 points on his math tests so far this semester. To get an A for the semester, he must score at least 660 points. Write and solve an inequality to find the minimum number of points he must score on the remaining tests, n, in order to get an A.
Answers
solve for x and y in the parallelogram
Answers
Answer:
x=3
y=6
Step-by-step explanation:
Hope this helps! :)
what is the y-value
y = 6x – 3
x+2y = 7
Answers
Answer:
i love algebra anyways
the ans is in the picture and the steps how got it
(hope it helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
7x + 4 = 25, then x is equal to
a) 29/ 7 b) 100/7 c) 2 d/ 3
Answers
Answer:
d) 3
Step-by-step explanation:
7x+4=25
7x=21
X=3
Answer: D. 3
Step-by-step explanation:
Given
7x+4=25
Subtract 4 on both sides
7x+4-4=25-4
7x=21
Divide 7 on both sides
7x/7=21/7
x=3
Hope this helps!! :)
Please let me know if you have any questions
Find the area...
HURRY!!!!!
Answers
Answer: 38
Step-by-step explanation:
