Answer:
72
Step-by-step explanation:
Since the triangle's area is 240, the base * height must equal 480 because for the area of a triangle it is half of that. Since you know that the base AC = 20, find out what you can multiply by 20 to get 480. This gives you a result of 24. Now that the height is found divide the triangle into two right triangles. Now Just use the pythagorean theorem to find the legs of the triangles. AB = BC = 26. 26 + 26 + 20 = 72 which is the perimeter.
The Perimeter of triangle ABC is 72 unit
What is isosceles triangle ?Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides. In this article, we will learn about the definition of an isosceles triangle and its properties.
We have
AC = 20 unit
Area of triangle {ABC} = 240 unit square
AB = BC
draw the altitude to AC, let’s call it BD (Construction)
Now,
we know the area of triangle = 1/2 × AC × BD
240 = 1/2 × 20 × BD
BD = 240 × 2/20
BD = 24 unit
AD=CD (Altitude to base of isosceles triangle)
2AD=AC
2AD=20
AD=10 (Parts-Whole Postulate, substitution)
in ∠ABC using Pythagorean theorem
[tex]AD^{2}[/tex] + [tex]BD^{2}[/tex] = [tex]AB^{2}[/tex]
[tex]AB^{2}[/tex] = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]
AB = [tex]\sqrt{100 + 576}[/tex]
AB = [tex]\sqrt{676}[/tex]
AB=26
AB=BC=26 (Definition of Isosceles Triangle)
AC = 20
Perimeter of triangle ABC = AB+BC+AC (definition of Perimeter)
Perimeter of triangle ABC = 26 + 26 +20
Perimeter of triangle ABC = 72 unit
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Help my please please
Answer:
Rectangle:6+5=11(Odd)
Triangle:6+6=12(even)
Star:4+3=7(odd)
Pentagon:9+8=17(odd)
Hexagon:6+6+12(even)
Circle:4+4=8(even)
Step-by-step explanation:
Hope this helps:)
Answer:
odd, even
odd, odd
even, even
Step-by-step explanation:
Number the pictures starting from left to right and the down, then pictures 1, 3 4 are odd
2, 5, 6 are even.
Can somebody help me please
Answer:
800
Step-by-step explanation:
900-100= 800
Therefore, the difference is 800. I hope this helps, have a great day!!!
Answer:
800
Explanation:
When solving this problem we need to remember that it is asking us to find how much money she gained throughout the day, NOT the total amount she had at the end of the day. To find how much money she gained, simply subtract one hundred by nine hundred.
900 - 100
800
Therefore, $800 was the change in how much money she had.
Solve the formula A= 8/2 for r.
Answer:
The steps are :
[tex]A = \pi {r}^{2} [/tex]
[tex] \frac{A}{\pi} = {r}^{2} [/tex]
[tex]r = \sqrt{ \frac{A}{\pi} } [/tex]
Therefore, the answer is B.
Answer: the answer is B.
Can you people help me please
The right answer is -2.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
951/3 i dot know because it is to hard
Answer:
317
Step-by-step explanation:
951/ 3 is 317
for this problem you can use a calculator, or long division.
will mark bianleast plz plz i really need this
The histogram shows the number of books read by people participating in a local book club. Which statement is best supported by this histogram?
Six people read more than 2 books.
Six people read between 6 and 8 books.
Most people read 3–5 books.
Three people read zero books.
Answer:
Six people read more than 2 books.
Step-by-step explanation:
Hope that helps
Can u please help me.
Answer: X60 degrees Y40 degrees
Step-by-step explanation: 180-120=60 the triangle is equal to 180-60=120 120-80=40
Find the volume. :D (MARKING BRAINLIEST)
Answer:
720 cubic units
Step-by-step explanation:
Answer:
360 cubic units
Step-by-step explanation:
volume of prism = area of base * height of prism
The base is a triangle with base = 6 ad height = 8
area of triangle = bh/2
V = bh/2 * height of prism
V = 6 * 8/2 * 15
V = 360 cubic units
which of the following sets of sides could NOT form a right triangle:
a 3 — 4 — 5
b 6 — 8 — 10
c 8 — 14 — 17
d 9 — 40 — 41
===================================================
Explanation:
Choice A is a non-answer because 3-4-5 does represent a right triangle. We can see so from the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = 5^2
9+16 = 25
25 = 25
We get a true equation, so (a,b,c) = (3,4,5) is a solution to a^2+b^2 = c^2
This confirms a 3-4-5 triangle is a right triangle.
------
The same steps can be used to show 6-8-10 is also a right triangle (note how each value has been doubled compared to 3-4-5). We can cross choice B off the list.
We can also see that choice D is a non-answer as well.
------
Choice C is the only thing left. The proper Pythagorean triple is actually 8-15-17.
Let's see what happens when a = 8, b = 14, c = 17
a^2+b^2 = c^2
8^2+14^2 = 17^2
64+196 = 289
260 = 289 .... false equation
We get a false equation, so a = 8, b = 14, c = 17 does not form a right triangle.
What is the contrapositive of the following statement?
If M is the midpoint of PQ, then PM is congruent to OM.
If M is the midpoint of PO, then PM is congruent to OM.
If PM is congruent to OM, then M is the midpoint of PO.
If M is not the midpoint of PQ, then PM is not congruent to QM.
If PM is not congruent to OM, then M is not the midpoint of PQ
Answer:
For the statement;
If M is the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is congruent to [tex]\overline{QM}[/tex]
The contrapositive statement is therefore;
If M is not the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is not congruent to [tex]\overline{QM}[/tex]
Step-by-step explanation:
Contraposition in logic describes the transitioning from an implication/conditional statement into its equivalent contrapositive
The contrapositive of the statement p → q is equal to ~p → ~q
Therefore, the contrapositive of a conditional or implication statement is equivalent, logically to the original statement
Answer:
If M is not the midpoint of , then is not congruent to
Step-by-step explanation:
if you're good at parabolas please help meeeee
Find the equation of the following parabola
Answer:
Step-by-step explanation:
it is symmetric about y-axis and its axis is x=0
and vertex is (0,2)
so parabola is y=a(x-0)²+2
(2,4) lies on it.
4=a(2)²+2
4a=2
a=1/2
so y=1/2 x²+2
plz answer this asap
Please help with the question below
Answer:
Not a solution.
Step-by-step explanation:
2=-3/4(3)+3
2=-9/4+3
2 does not equal 3/4.
Therefore, it is not a solution.
Answer:
False
Step-by-step explanation:
Just plug it in.
[tex]2 = -\frac{3}{4}*3 + 3[/tex]
2 = -2.25 + 3
2 ≠ 0.75
It is not equal so it's false.
If BCDE is congruent to OPQR then BE is congruent to _____
Answer:
If BCDE is congruent to OPQR then BE is congruent to RO
Based on the following calculator output, determine the mean of the dataset,
rounding to the nearest 100th if necessary.
1-Var-Stats
ī = 106.142857143
Ex = 743
2.c2 = 79453
Sx = 9.90670768433
or = 9.17182909673
n = 7
min X = 98
Q = 98
Med = 100
Q3 = 116
maxX = 121
Answer:
106 1/7
Step-by-step explanation:
The line ...
ī = 106.142857143
tells you the mean of the dataset is 106 1/7.
koperasi sekolah membeli 5 lusin buku tulis dengan harga 30.000 tiap lusin. dari hasil penjualan itu koperasi memperoleh untung sebesar 30.000, maka harga jual satu buah buku tulis adalah
Answer:
c
Step-by-step explanation:
Answer:
letter C
Step-by-step explanation:
sorry if it's copy
HEY PLEASE I NEED HELP IM OFFERING 30 POINTS
which point is a solution to the given system of inequalities
x+4y>12
3y>x+6
A.(-4,6)
B.(5,2)
C.(0,3)
D.(-2,3)
Answer:
the first option, (-4, 6)
Step-by-step explanation:
for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.
1. (-4,6)
x + 4y > 12
-4 + 4(6) > 12
20 > 12 is true
now we can substitute the second inequality.
3(6) > -4 + 6
18 > 2 is true, therefore making this set of points true.
it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :
5 + 4(2) > 12
5 + 8 > 12
13> 12 is true
3(2) > 5 + 6
6 > 11 is not true
the rest of the answer choices are also not true.
I hope this helped you!
Answer:
(-4, 6)
Step-by-step explanation:
A line passes through the point (-3,1) and has a slope of -2
Answer:
Step-by-step explanation:
y - 1 = -2(x + 3)
y - 1 = -2x - 6
y - 1 + 1 = -2x - 6 + 1
y = -2x - 5
Quadrilateral ABCD is rotated 270° clockwise about the origin. What is the orientation of the rotated figure, and what quadrant does it lie in?
Answer:
The other person is right, I believe it is the fourth Quadrient
Step-by-step explanation: how ever there are two fourth Quadrient answers. I think it is the second fourth Quadrient one with C and B at the top. I rotated the shape and that's how it looked.
When a shape is rotated, it must be rotated through a point.
The orientation of the rotated figure is uprightThe quadrant of the rotated figure is quadrant IV.The current location of the quadrilateral is quadrant III.
A 270 degrees clockwise rotation would move the shape 3 quadrants backwards.
i.e. quadrant 2, quadrant I, and quadrant 4.
Hence, the quadrant of the rotated figure is quadrant IV.
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I will give brainliest answer
Answer:
≈ 93.06 cm²
Step-by-step explanation:
Subtract the area of the rectangle from the area of the circle
area of circle = πr² = π × 8² = 64π cm²
area of rectangle = 12 × 8 = 108 cm²
Thus
shaded area = 64π - 108 = 201.062 - 108 ≈ 93.05 cm² ( nearest hundredth )
Answer:
The area of the shaded region = area of the circle - area of the rectangle
area of circle = πr² = π × 8² = 201.14 cm²
area of rectangle = 12 × 2 = 24 cm²
shaded area = 201.14 - 24 ≈ 177.14 cm²
please help me people thank you in advance
Answer:
[tex]-\dfrac{11}{12}[/tex]
Step-by-step explanation:
[tex]\dfrac{\dfrac{5}{8}+\dfrac{3}{4}}{\dfrac{-2}{3}-\dfrac{5}{6}}=\\\\\\\dfrac{\dfrac{11}{8}}{-\dfrac{9}{6}}=\\\\\\\dfrac{11}{8}\times -\dfrac{2}{3}=\\\\\\-\dfrac{22}{24}=\\\\\\-\dfrac{11}{12}[/tex]
Hope this helps!
a number t decreased by 2 is at least 7
plz help plzzz thank you
Answer:
rectangles
Step-by-step explanation:
convenient to use rectangles for the individual areas because they will combine horizontally and vertically to make larger rectangles with no gaps.
Jennifer is organising a street party. she needs to make 300 cakes. the recipe consist of : 50g icing, 150g butter, 120g caster sugar, 110g flour, 1 egg, 5h baking powder. this makes 12 cakes. how much of each ingredient will she need? kilograms.
Answer:
1.25 kg of icing sugar
3.75 kg of butter
3 kgs of caster sugar
2.75 kgs flour
25 eggs
125g baking powder
Step-by-step explanation:
300/12 x (weight of ingredient)
Answer:
1.25kg icing
3.75kg butter
3kg caster sugar
2.75kg flour
25 eggs
125g baking powder
Step-by-step explanation:
Above is 6 ingredients that is all part of your answer, but you show 300/12 as your first step in workings , the rest is multiplying by 25 as shown here.
300/12 = 25
25 x 50 = 1250g = 1.25kg
25 x 150 = 3750g = 3.75kg
25 x 120 = 3000g = 3kg
25 x 110 = 2750g = 2.75kg
25 eggs
25 x 5 = 125g
The difference between a number and 13 is 25. What is the number?
Answer:
37 is the number
Step-by-step explanation
37- 13 = 25
Express the quotient in simplest form.
Answer:
(x-2)
----------------
x^3
Step-by-step explanation:
(x^2 -4) x^3 -x^2 -6x
------------ ÷ ---------------------
x^3 + 7x^2 x^2 +4x -21
Copy dot flip
(x^2 -4) x^2 +4x -21
------------ * ---------------------
x^3 + 7x^2 x^3 -x^2 -6x
Factor
(x-2)(x+2) (x+7)(x-3)
------------ * ---------------------
x^2(x+7) x(x-3)(x+2)
Cancel like terms
(x-2) 1
------------ * ---------------------
x^2 x
(x-2)
----------------
x^3
What is the surface area of the prism, in square centimeters?
Answer:
182
Step-by-step explanation:
2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )
= {182cm}^{2}
The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².
What is an area?
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,
Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)
Now, the Area of a rectangular face is,
Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)
= 160 cm²
The area of the triangle base,
Area = 0.5 × 4cm × 6cm = 12 cm²
Further, the total area of the Prism will be,
Total surface area = 160cm² + 2(12cm²) = 184cm²
Hence, the total surface area of the prism is 184 cm².
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A bluebird house should have a 5 inch by 5 inch floor, a height ranging from
8 inches to 12 inches, and an opening of 1.5 inches. Bluebirds like open areas,
such as fields, large lawns, cemeteries, parks, and golf courses. Hanging a
bluebird house on a post or pole about 4 or 5 feet above the ground will
probably attract the birds and offer them protection from predators.
In Exercises 1–5, use the following information.
Your woodshop class is making bluebird houses for a final project. A model of
the birdhouse is shown below. The roof consists of four congruent triangles, the
sides are made of four congruent isosceles trapezoids, and the base includes four
rectangles and a square bottom.
1. Find the area of material needed to
make the roof.
2. Find the area of the entrance hole.
3. Find the area of material needed to
make the sides of the birdhouse,
excluding the entrance hole.
4. Find the area of the material needed
to construct the base of the birdhouse.
5. What is the total amount of material
needed for the entire birdhouse?
Answer:
1. 140 in²
2. 2.25 in²
3. 182 in²
4. 55 in²
5. 374.75 in²
Step-by-step explanation:
1. Area of each triangle: 10*7*1/2 = 35 in²
Area of the roof = 4*35 = 140 in²
2. Area of the entrance hole: 1.5*1.5 = 2.25 in²
3. Area of each trapezoid: (8+5)/2*7 = 45.5 in²
Area of the sides: 4*45.5 = 182 in²
4. Area of the square of the base: 5*5 = 25 in²
Area of each rectangle: 1.5*5 = 7.5 in²
Area of the four rectangles = 4*7.5 = 30 in²
Area of the base: 25 + 30 = 55 in²
5. The total amount of material needed for the entire birdhouse is: 140 - 2.25 + 182 + 55 = 374.75 in²
How would you prove that the triangle below is equilateral?
A. Shows all angles to be congruent
B. Show all sides to be congruent
C. Show at least two sides to be congruent
D. Show two sides are of equal measure
Please help me with this I need help
Answer:
B. Show all sides to be congruent
Answer:
B. show all sides are congruent
Step-by-step explanation:
t - 10 + t = 40 what is the value of t
Answer:
t = 25
Step-by-step explanation:
t - 10 + t = 40
2t = 40+10
2t = 50
t = 50/2
t = 25
Hope this helps.
Answer:
Step-by-step explanation:
