Answers
Answer:
43.55
Step-by-step explanation:
1. Use the distance formula on both points AC and AB.
Distance formula is this:
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\[/tex]
Distance for AC is 16.16
Now do the same with the numbers for AB and get the distance of 5.39
2. To get the area, use the formula 1/2 x base x height
AB is the base and AC is the height.
1/2 x 16.16 x 5.39 = 43.55
The area of triangle ABC is 43.5 square units.
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 shape ABC is a triangle.
Where,
AB = Base
AC = Height
A = (1, 8)
B = (6, 6)
C = (-5, -7)
First, let's find the length of AB using the distance formula:
AB = √((6-1)² + (6-8)²)
= √(25 + 4)
= √(29)
Next, let's find the length of AC using the distance formula:
AC = √((1-(-5))² + (8-(-7))²)
= √(36 + 225)
= √(261)
The area of the triangle ABC can be found using the formula:
Area = (1/2) x base x height
We know that AB is the base and AC is the height,
Area = (1/2) x AB x AC
Area = (1/2) x √(29) x √(261)
Area = (1/2) x √(7569)
Area = (1/2) x 87
Area = 43.5
Therefore,
The area of triangle ABC is 43.5 square units.
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Related Questions
help me pleaseeeeeeeeeeee
Answers
Step-by-step explanation:
57+90+x=180
147+x=180
x=33
<4= 33°
Rewrite the following to show the distributive property
4x(5+3)
Answers
Step-by-step explanation:
4x+8
basically u solve the number that is in parentheses then you are left with the number with a variable so u can't solve so that's ur equation
Answer:
32x
Step-by-step explanation:
1. rewrite
4x(5)+4x(3)
4(3) means 4*3
2. multiply
4x(5)= 20x
4x(3)= 12x
20x+12x
3. combine like terms
20x+12x= 32x
32x
If this is right can you make me brainliest
Guys can you please help me ?!!!!!!):
Answers
Answer:
12+20=32
32/2=16
20-16=4
Vertex x-int is 4.
Step-by-step explanation:
Which of the following equations are written in standard form?
А. 3x + 5y = -7
B. 2y + x = 12
C. 5x+10y = -21
D. 1.2x + 5y = 23.7
PLEASE HELP ME ASAP
Answers
Answer B is NOT written correctly in standard form.
The IQ scores of the middle 50% of a population can be written as
I
100
15
where x is a person's IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.
x 270 and x s 130
Ox570 and x 2 130
Oxs 90 and x 2 110
x 290 and x s 110
Answers
Complete question :
The IQ scores of the middle 50% of a population can be written as (x - 100) / 15 ≤ 2/3
Answer: 90 ≤ x ≤ 110
Oxs 90 and x 2 110
Step-by-step explanation:
Given the inequality:
The middle 50% of the population :
(x - 100) / 15 ≤ 2/3
The upper bound :
(x - 100) / 15 ≤ 2/3
multiply both sides by 15
(x - 100) / 15 * 15 ≤ 2/3 * 15
(x - 100) ≤ 2/3 * 15
x - 100 ≤ 10
x ≤ 10 + 100
x ≤ 110
The lower bound :
- (x - 100) / 15 ≤ 2/3
(-x + 100) / 15 ≤ 2/3
multiply both sides by 15
(-x + 100) / 15 * 15 ≤ 2/3 * 15
(-x + 100) ≤ 2/3 * 15
-x + 100 ≤ 10
-x ≤ 10 - 100
-x ≤ - 90
x ≤ 90
90 ≤ x ≤ 110
Which graph shows the points (−11
2
, 1
2
) and (1.5, −0.5) plotted correctly?
On a coordinate plane, a point is 0.5 units to the right and 1.5 units up. Another point is 0.5 units to the left and 1.5 units down.
On a coordinate plane, a point is 1.5 units to the left and 0.5 units up. Another point is 1.5 units to the right and 0.5 units down.
On a coordinate plane, a point is 0.5 units to the left and 1.5 units up. Another point is 0.5 units to the right and 1.5 units down.
On a coordinate plane, a point is 1.5 units to the left and 0.5 units down. Another point is 1.5 units to the right and 0.5 units up.
Answers
Answer:
b
Step-by-step explanation: got it right on edge
Answer:
B
Step-by-step explanation:
got it right on edge
please find the circumceneter of the triangle
Answers
Answer:
Draw the perpendicular bisector of each line of each line.
Step-by-step explanation:
Because this is a right triangle, the circumcenter will always be located at the midpoint of the hgypotenuse. Locate those coordinates and you have the circumcenter.
Laura bought apples to send to her friend Brad by mail. Because of mailing restrictions, the total mass of the apples cannot exceed 23 pounds. If the mass of each apple is 5 ounces, what is the maximum number of apples Laura can send?
A.72
B.73
C.74
D.75
Answers
Answer:
D. 75 bc it should be that
Answer:
B 73
so I had four answer choices A 72 B 73 C 74 D 75 Someone had put that the answer was D . But, I had this same problem on my test I picked D and got it wrong. so clearly its not D. theses are medium apple's 1lb is 16oz I apple is 5oz 23lbs = 368oz 3 apples =15oz
take 368 and divided it by 5 you get 73.6
COLOR THEME
O Q ZOOM
5. Mrs. All collected notebook paper from her students at the beginning of the
school year. The model is shaded to show the fraction of notebook paper
that Mrs. Ali used in each of the following three months.
First month
Second month
Third month
What fraction of the notebook paper Mrs. All collected was used during
these three months?
Answers
Answer:
6
Step-by-step explanation:
Solve the inequality for X.
4x<32
Answers
Answer:
x is less than 8
PLS HELP WILL GIVE BRAINLIEST AND POINTS PLS HELP
A bird supply wholesaler wants to make a seed that costs $0.75 per pound out of 50 pounds of a $0.60 per pound seed and some
amount of a $0.90 per pound seed. How much of the $0.90 per pound seed should the wholesaler use to make his 50.75 per pound
seed?
A)
2 pounds
B)
30 pounds
c)
50 pounds
D)
60 pounds
Answers
Answer:
it is c
Step-by-step explanation:
WILL GIVE BRAINLIEST but you have to show your work
Answers
Answer:
x=-3
Step-by-step explanation:
[tex]\sqrt{x+7}-x=5\\\sqrt{x+7}=5+x\\x+7=x^2+10x+25\\x^2+9x-18=0\\(x+3)(x+6)=0\\x=-3, x=-6\\\sqrt{-3+7}-(-3)=5\\\sqrt{-6+7}-(-6)=7=5[/tex]
x=-6 is extraneous because 7 does not equal to 5
x=-3 is the answer because 5=5
Help please
The answer choices are
A) x=3/x
B)x=9/x
C)0=3/x+x
D)0=9/x+x
Answers
Answer:
A
Step-by-step explanation:
If the terminal point determined by t is (-5,-4), then
\sin (t) =
;
\cos (t) =
;
\tan (t) =
.
Answers
Answer:
The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].
Step-by-step explanation:
Let [tex]\vec u = (x,y)[/tex]. From Trigonometry, we remember the following definitions for the trigonometric ratios, dimensionless:
[tex]\sin t = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
[tex]\cos t = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\tan t = \frac{y}{x}[/tex] (3)
If we know that [tex]x = -5[/tex] and [tex]y = -4[/tex], then the trigonometric ratios are, respectively:
[tex]\sin t = \frac{-4}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]
[tex]\sin t \approx -0.625[/tex]
[tex]\cos t = \frac{-5}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]
[tex]\cos t \approx -0.781[/tex]
[tex]\tan t = \frac{-4}{-5}[/tex]
[tex]\tan t = 0.8[/tex]
The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].
DEF JIH
Someone help me please
Answers
Answer:
ED is congruent to IH
ED is congruent to IH
Does anyone know the answers to this?
Answers
Answer:
i think the correct answer of these qusion is `B´
Answer:it’s 5
Step-by-step explanation:
An item cost $420 before tax, and the sales tax is $33.60. Find the sales tax
Answers
Answer:
8%
Step-by-step explanation:
used a calculator
The equation x^2/24^2 - y^2/b^2 = 1 represents a hyperbola centered at the origin with a directrix of x = 576/26.
What is the value of b?
A. 10
B. 16
C. 20
D. 26
Answers
Answer:
a
Step-by-step explanation:
edge
The value of B is 16.
The correct option is B
What is a quadratic equation?A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.
The standard equation for a hyperbola centered at the origin is:
(x²)/(a²) - (y²)/(b²) = 1
where "a" and "b" are the lengths of the transverse and conjugate axes, respectively. To find the value of "b" for the given hyperbola equation, we need to first rewrite it in the standard form.
(x²)/(24²) - (y²)/(b²) = 1
Multiplying both sides by (24²)(b²), we get:
b²(x²) - (24²)(y²) = (24²)(b²)
Dividing both sides by (24²), we get:
b²(x²)/(24²) - y² = b²
Comparing this with the standard equation, we can see that a = 24 and b is the square root of the constant term, which is b² = 576. Therefore, b = 24.
However, the given directrix of x = 576/26 is not consistent with the equation of the hyperbola. The directrix for a hyperbola with center at the origin and transverse axis along the x-axis is given by x = a²/b. Using the value of a = 24, we can find the directrix as:
x = (24²)/b
Setting this equal to 576/26, we get:
(24²)/b = 576/26
Solving for b, we get:
b = 16
Therefore, the correct answer is (B) 16.
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which table of values matches the equation y=2x-3
Answers
Answer:
What are the possible answer??/
Step-by-step explanation:
The set of points satisfying the equation y = 2x - 3 is a. {(0, -3), (1, -1), (1.5, 0), (2,1)}.
An equation is the combination of 2 or more expressions separated by the equality sign(=), signifying the equality of expressions.
To obtain the set of points satisfying the equation y = 2x - 3.
The given equation is y = 2x - 3.
Let's take x = 0,
y = 2 × 0 - 3 = -3,
the point is (0, -3).
Let's take y = 0,
0 = 2x - 3
2x = 3
x = [tex]\frac{3}{2}[/tex]
x = 1.5,
the point is (1.5, 0).
Let's take x = 1,
y = 2 × 1 - 3 = -1,
the point is (1, -1).
Let's take y = 1,
1 = 2x - 3
2x = 1 + 3
2x = 4
x = [tex]\frac{4}{2}[/tex]
x = 2,
the point is (2,1).
Hence, the set of points satisfying the equation is {(0, -3), (1, -1), (1.5, 0), (2,1)}.
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The complete question is as follows:
Which table of values matches the equation y = 2x - 3,
a. {(0, -3), (1.5, 0), (1, -1), (2,1)}.
b. {(0, -2), (1.5, 0), (1, -1), (2,1)}.
c. {(0, -3), (1.5, 0), (1, -4), (2,1)}.
d. {(-1,1), (0, -3), (1.5, 0), (1, -1)}.
Write the standard form of the equation y - 6 = 3/4 (x - 5).
Answers
Answer:
3x-4y=-9
Step-by-step explanation:
Answer:
[tex]y=\frac{3}{4}x+\frac{9}{4}[/tex]
Step-by-step explanation:
[tex]y-6=\frac{3}{4}(x - 5)[/tex] to y = mx + b
[tex]y-6=\frac{3}{4}(x-5)\\\\Distribute;\\\\y-6=\frac{3}{4}x-\frac{15}{4} \\[/tex]
Add 6 to both sides;
[tex]-\frac{15}{4}+6 =-\frac{15}{4}+\frac{6}{1} \\\\\frac{-15+24}{4} =\frac{9}{4}[/tex]
Randy Houck deposited his paycheck for $385.15, a refund check from a mail
order purchase for $125.95, and $37.20 in cash.
Answers
Answer:
The correct option is c. $548.30.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question. Please, see the attached pdf file for the complete question.
Also Note: This template does not allow the explanation to be added and saved here as it keeps on indicating that it contains some swearwords. The explanation is now given in the attached pdf file. Please, see the attached pdf file for the answer and explanation.
who wants to play rocket league with me
I'm gold3 so sry
Answers
Answer:
Bet
Step-by-step explanation:
Answer:
Your on
Step-by-step explanation:
Does someone have a fennec in rocket league and someone who can trade it on switch?
PLEASE HELP!!
finding square roots of negative numbers
show your work
1-) V-18
2-) 2V-16
Answers
Answer:
Work shown below!
Step-by-step explanation:
[tex]\sqrt{-18}=\sqrt{18i^{2} } =\sqrt{2*9i^{2} }=3i\sqrt{2}[/tex]
[tex]2\sqrt{-16} =2\sqrt{16i^{2} } =4i*2=8i[/tex]
This is urgent PLEASE help me
Answers
Answer:
at -6
Step-by-step explanation:
hope that help
3(x – 2) – (1 – x) > 2x – 7
Answers
3 fair coins are tossed.
a) What is the probability of getting all 3 heads? (My Answer is 1/8)
b) What is the probability of getting all 3 tails? (My Answer is 1/8)
c) What is the probability of getting all 1 head and 2 tails? (My Answer is 3/8)
d) What is the probability of getting all 2 heads and 1 tail? (My Answer is 3/8)
My Question:
e) What do the probabilities from parts (a) to (e) add up to?
Answers
Answer:
1/8 + 1/8 + 3/8 + 3/8 = 2/8 + 6/8 = 8/8 = 1
So the answer would be 1.
Harold brought 5 apples for $3.90.What is the unit price?
Answers
Answer:
.78
Step-by-step explanation:
3.90/5 = .78
A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with O's representing Incorrect answers
and 1's representing correct answers, to answer the following question:
What is the probability of correctly guessing at random exactly one correct answer? Round to the nearest whole number.
Answers
Answer:
It is 4
Step-by-step explanation:
Factor completely
w^2 + 12w -f^2+ 36
Answers
(w+6-f)x (w+6+f)
Help pls :))))))))))))))
Answers
Answer:left is 7 right is 6
Step-by-step explanation:
left is 7 right is 6
Answer:
the right side is 6 and the left side is 7
Step-by-step explanation:
These triangles are similar. Since the bottom side goes from 15 to 5, that means you divide the other 2 sides by 3 also.