Answers
Answer:
2384
Step-by-step explanation:
40x50=2000
40x24/2=384
2000+384=2384
Answer:
2384
Step-by-step explanation:
1. Approach
To solve for the area of the given figure, divide the figure up into two parts. This will ensure that one can find the area of each individual part, and then add the two resulting areas up to find the total area of the figure. One can split this figure into a rectangle, and a triangle.
2.Find the area of the rectangle
The rectangle will have the following dimensions,
(40) x (50)
To find the area of a rectangle, one will use the following formula,
(length) * (width) = (area)
Therefore, the area is the following,
(40) * (50) = 2000
3.Area of the triangle
3a. Approach
To find the area of a triangle, one will use Heron's formula. Herons' formula states the following,
[tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where (s) is the semi-perimeter or half of the perimeter, and (a), (b), and (c) are the sides of the triangle. This requires that one knows all of the sides of the triangle.
3b. Find the unknown side and semi-perimeter
It is given that the triangle is right indicated by a box around one of the angles), thus one can use the Pythagorean theorem to find the length of the unknown side. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) represent the legs, the sides adjacent (next to) the right angle. Moreover, (c) represents the hypotenuse or the side opposite the right angle. Substitute in the given values and solve for (b),
[tex](40)^2=(24)^2+(b)^2\\[/tex]
Simplify,
[tex]1600=576+b^2[/tex]
Inverse operations,
[tex]1024=b^2\\\sqrt{1024}=b\\32=b[/tex]
Add up all of the sides of the triangle and divide by (2) to fin the semi-perimeter,
[tex]\frac{a+b+c}{2}\\\\=\frac{20+24+32}{2}\\\\=48[/tex]
3c. Find the area of the triangle
Substitute into Heron's formula,
[tex]\sqrt{s(s-a)(s-b)(s-c)}\\\\=\sqrt{48(48-32)(48-40)(48-24)}\\\\=\sqrt{48(16)(8)(24)}\\\\=\sqrt{147456}\\\\=384[/tex]
Add the area of the rectangle and triangle together to find the answer,
384 + 2000
= 2384
Related Questions
Use the distributive property to expand - 3x * (4d - 5e - 3f)
Answers
9514 1404 393
Answer:
-12dx +15ex +9fx
Step-by-step explanation:
- 3x * (4d - 5e - 3f) = (-3x)(4d) +(-3x)(-5e) +(-3x)(-3f)
= -12dx +15ex +9fx
Find the surface area of the prism.
A triangular prism. The base triangle is a right triangle with a base of 8 centimeters, slant height of 17 centimeters and height of 15 centimeters. The height of the prism is 7 centimeters.
Answers
Answer:
400cm²
Step-by-step explanation:
Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.
Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²
Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²
Total surface area = 280 + 120 = 400cm²
PLEASE HELP I NEED THIS ASAP
Answers
(A)
Step-by-step explanation:
Multiply both sides by (x + 3)(x - 3)
4(x + 3) + 2 = (x- 3)
4x + 12 + 2 = x - 3
3x = - 17
or
x = -17/3
If sine > 0 and tane < 0 then:
Answers
Answer:
its A
Step-by-step explanation:
What single decimal multiplier would you use to increase by 4% followed by a 3% increase?
Answers
Find the area of this circle. Use 3 for .
A = 7r2
18 in
[?] in2
Answers
Answer:
Area of a circle = πr^2 if pi here = 3
then (3 × 81) in^2 = 243 in^2
Hope it helps
Answer:
The area of circle is 254.34 in².
Step-by-step explanation:
Given :
[tex]\small\purple\bull[/tex] Diameter of circle = 18 inTo Find :
[tex]\small\purple\bull[/tex] Radius of circle [tex]\small\purple\bull[/tex] Area of circleUsing Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]
[tex]\blue\star[/tex] R = radius [tex]\blue\star[/tex] D = diameter[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]
[tex]\blue\star[/tex] π = 3.14 [tex]\blue\star[/tex] r = radiusSolution :
Here we have given that diameter of circle is 18 in. So, finding the radius of circle :
[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]
[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]
[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]
[tex]\implies{\sf{Radius = 9 \: in}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]
Hence, the radius of circle is 9 in.
[tex]\rule{200}2[/tex]
Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :
[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]
[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]
Hence, the area of circle is 254.34 in².
[tex]\rule{300}{1.5}[/tex]
Find all vertical asymptotes of the following function f(x)=9x^2-64/2x+14
Answers
Answer:
Step-by-step explanation:
Was the latter half of this function, -64 / 2x + 14, meant to be:
-64 / 2x + 14, or
-64 / (2x + 14)?
In the first case the vertical asymptote is x = 0.
In the second, the vertical asymptote is the root of 2x + 14, or x = -7
Use parentheses in problems such as this one, to eliminate ambiguity.
Please help, sorry if it’s blurry.
Answers
Answer:
0.35
Step-by-step explanation:
j.g susghe yo s9ss9sssisjwus
Answer: D) 385.2
What you give me in the comments 1,540.7......789.4.....1,155.5.....385. I think that was the choice for me to put what kind of answer you want!
Step-by-step explanation: Hope this help :D
If tan0 = 4/11, then what will tan(90- 0) be? Please show work
Answers
Answer:
11/4
Step-by-step explanation:
tan(90-x)=cot(x) by cofunction identity
tan(90-x) is therefore the reciprocal value of tan(x) since tan(x) is the reciprocal of cot(x) or vice versa.
tan(90-x)=11/4 since tan(x)=4/11
Answer:
11/4
Step-by-step explanation:
[tex]\tan(90-\theta) = \frac{\sin(90-\theta)}{\cos(90-\theta)} = \frac{\cos\theta}{\sin\theta}=\cot\theta = \frac{1}{\tan\theta} = \frac{11}{4}[/tex].
Mila graphs the point A (5, 0) on a coordinate plane.
Which of the following statements are true?
Select all that apply.
Point A is 5 units to the________(Please fill this box any of these choices in A-E)
A. right of the origin and up 1 unit.
B. The x-coordinate of point A is 5.
C. The y-coordinate of point A is 5.
D. Point A is on the y-axis.
E. Point A is on the x-axis.
Answers
Answer:
B,E
Step-by-step explanation:
(5,0) (5=x, 0=y)
A is false because y = 0
B is true because x=5
c is false because y = 0
D is false because again y = 0
E is true because 5,0 is on the x axis
- Gage Millar, Algebra 2 tutor
Help me with this question
Answers
Answer:
24
Step-by-step explanation:
41-17=24
hey! i’ll give brainliest please help.
Answers
Answer:
I think Darius I is the correct answer.
What number divided by −3 gives 12 as the result?
Answers
Answer:
-36
Step-by-step explanation:
-3 ×12=--36
Let x is the results
From question we know
For x if divides by -3 we can get 12 so
So x/-3=12
Or. x= 12 x -3
So x= -36 is answer
Conclusion : = -36 number divided by -3 gives 12 as the results.
HELP ASAP!!!!!!!!!!Please
Answers
Answer:
D) x = -3
Step-by-step explanation:
on a venn diagram shade the region
a'n(bnc)
Answers
Answer:
See the three attached images.
Step-by-step explanation:
image1 shows the intersection of b and c: [tex]b \cap c[/tex]. (green "football")
image2 shows the complement of a (outside a): [tex]a'[/tex] (yellow)
image3 shows the intersection of those sets: [tex]a'\cap (b\cap c)[/tex] (green "football with a bite out of it") :-)
hii! please help asap. i’ll give brainliest
Answers
Answer:
4
Step-by-step explanation:
The numbers you have are 2, 2, 3, 4, 8, 8, 8
First, cross out 2 on the very left and 8 on the very right.
Then you are left with 2, 3, 4, 8, 8, Then cross out the 2 on the left and the 8 on the right, and you are left with 3, 4, 8. Cross out the 3 and 8, and you are left with the median, 4.
If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!
i need help and thank you
Answers
Answer:
Hello! answer: 6
Step-by-step explanation:
2 × 3 = 6 12 - 6 = 6 therefore the answer is 6 hope that helps!
Answer:
6
Step-by-step explanation:
Simplify the left side of equation so it looks like the right side. cos(x) + sin(x) tan(x) = sec (x)
Answers
Step-by-step explanation:
Consider LHS
[tex] \cos(x) + \sin(x) \tan(x) = \sec(x) [/tex]
Apply quotient identies
[tex] \cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x) [/tex]
Multiply the fraction and sine.
[tex] \cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]
Make cos x a fraction with cos x as it denominator.
[tex] \cos(x) \times \cos(x) = \cos {}^{2} (x) [/tex]
so
[tex] \frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]
Pythagorean Identity tells us sin squared and cos squared equals 1 so
[tex] \frac{1}{ \cos(x) } = \sec(x) [/tex]
Apply reciprocal identity.
[tex] \sec(x) = \sec(x) [/tex]
Anyone got me ? Let me knowww :)
Answers
Answer:
The answer is b
Step-by-step explanation:
The probability that one wristband is defective is 1/20. In a case of 840 wristbands, how many would be defective
Answers
42 wristbands would be defective
Explanation :
840•1/20=42
In the figure below, m ZABD=70°, and m 2 2 is four times m 2 1. Find m2 1.
А
mZ1 = 33
]
B
D
Recheck
Try one last time
2021
Answers
Answer:
angle m1 = 14 degrees
Step-by-step explanation:
angle ABD = 70 deg
angle m1 + angle m2 = 70 deg
angle m2 = 4 * angle m1
angle m1 + (4 * angle m1) = 70 deg
5 * angle m1 = 70 deg
angle m1 = 14 deg
I need help brainy pls!!!!!!!!
Answers
Answer:
its the first one
Step-by-step explanation:
im in 8th grade and im like a 11th grader bc im smart :)
Solve each equation, explain how you figured it out. (No fake answers!!Proper ones pleaser!!)
A. 25 - 3x = 40
B. 2 (x - 10) = -4
Answers
Answer:
A. x= -5
B. x= 8
Step-by-step explanation:
A. 25 - 3x = 40
-3x = 40 - 25
-3x = 15
x= 15/-3
x= -5
B. 2 (x-10) = -4
x-10 = -4/2
x-10 = -2
x = 8
A. 25 - 3x = 40
-3x = 40 - 25
= 15
-x = 15/3
x = -5
Checking
25 - 3*-5 = 40
25 + 15 = 40
40 = 40
LHS = RHS
B. 2(x-10) = -4
2x - 20 = -4
2x = -4 +20
x = 16/2 = 8
Hope u understand
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Thank You
The line y = 6 - 2x passes through the point (2, 2)
is it correct?
Answers
Answer:
Yes
Step-by-step explanation:
We can substitute the point (2, 2) into the equation. So, in place of x would be 2 and in place of y would be 2 as well:
y = 6 - 2x
2 = 6 - 2(2)
2 = 6 - 4
2 = 2
Since the above is a true statement, the point (2, 2) must belong to the line y = 6 - 2x
Yes, the line y=6-2x passes through the point (2, 2).
Given that, the line y=6-2x passes through the point (2, 2).
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
Here, substitute (x, y)=(2, 2) is the given line y=6-2x, we get
2 = 6-2(2)
2 = 2
Since, LHS = RHS
Yes, the line y=6-2x passes through the point (2, 2).
To learn more about the slope intercept form visit:
brainly.com/question/9682526.
#SPJ2
D
A
Which point is the
orthocenter of AABC?
F
E
B
A. Point D
B. Point E
C. Point F
Answers
Answer:
the answer is point f. mostly the answer of such type of questions are the points which do not lie ON the circle
What triangles can you make out of a rhombus
Answers
Answer:
Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.
Hope it helps ya mate! please give me brainliest!.ت︎ ت︎
Find the value of x.
Answers
Answer:
⏩12°
Step-by-step explanation:
4x + 7° + 35° = 90° {being complementary angles }
4x + 42° = 90°
4x = 90° - 42°
4x = 48°
x = 48° / 4
x = 12°
Hope it will help :)❤
Step-by-step explanation:
35°+4x+7°=90°
or,42°+4x=90°
or,4x=90°/42°
or,x=2.14/4
or,x=0.53
hope this helps
At the beginning of the school year, there
were 1200 students enrolled at Elmwood
Middle School. At the end of the year, there
were 1128 students. Find the percent of
change in enrollment.
Answers
Answer: 6% decrease
Step-by-step explanation:
Answer:
6% decrease
Step-by-step explanation:
Given that,
Initial number of students = 1200
At the end of the year there were 1128 students
We need to find the percent of change in enrollment.
Change in enrollment = 1200 - 1128 = 72
The percentage of change is :
[tex]\%=\dfrac{\text{change in students}}{\text{initial students}}\times100\\\\\%=\dfrac{72}{1200}\times 100\\\\=6\%[/tex]
So, there is a decrease of 6% in number of students.
3 (x-1) - 8 = 4 (1+x) + 5 Solve it please?
Answers
Answer:
X= -20
Step-by-step explanation:
need help to pass please
Answers
Answer:
x=1
Step-by-step explanation:
a(a+b)=c(c+d)
4(6x+4)=5(3x+5)
24x+16=15x+25
9x=9
x=1