Answer:
In order for three numbers to form a triangle, the sum of any of the two numbers must be greater than the third number. In this case, 12+20>24, 20+24>12, and 12+24>20. Therefore, this is a triangle.
c^2_a^2+b^2
24^2_12^2+20^2
576_144+400
576_544
576>544
This is an obtuse triangle, as c^2>a^2+b^2.
Step-by-step explanation:
need to know the answer
Answer:
Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel
Step-by-step explanation:
The given function required to be plot is y = x² - 2·x - 8
Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;
h = -(-2)/(2×1) = 1
k = 1² - 2×1 - 8 = -9
The coordinates of the vertex = (1, -9)
The roots of the equation is given when y = 0, as follows;
At the roots, we have;
x² - 2·x - 8 = 0
By factorizing, we get
x² - 2·x - 8 = (x - 4)·(x + 2) = 0
Therefore. the roots of the equation are;
x = 4, and x = -2
The coordinates of the roots are;
(4, 0), and (-2, 0)
Two other points can be found at when x = 3 and when x = 0 as follows;
When x = 3, we have;
y = 3² - 2×3 - 8 = -5
(3, -5)
When x = 0, we have;
y = 0² - 2×0 - 8 = -8
(0, -8)
The five points are;
(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)
The graph of the equation created using MS Excel showing the five points is attached.
4. 8.G.3.9
This cone and sphere have equal volumes.
What is the radius of the sphere?
Answer:
the radius of the sphere is 12 cm.
Step-by-step explanation:
IN A CONE
vertical height (h) = 27 cm
radius (r) = 32 / 2 = 16 cm
Now the volume of cone is
= 1/3 *h*π*r²
= 1/3 * 27 *π *16²
= 2304π cm³
Also by the question the cone and the sphere have equal volumes so
volume of sphere = volume of cone
= 2304 π cm³
OR, 4/3 πr³ = 2304 π
4/3 * r³ = 2304
r³ = 2304 * 3 / 4
r³ = 1728
r = ∛1728
r = 12 cm
hope it helps :)
Let's assume a typical New Zealand farmer raising sheep owns 250 hectares and averages about 10 livestock units per hectare. If each ewe earns the farmer $20/year, how much money does that farmer earn in one year?
Answer:
$50,000
Step-by-step explanation:
We have an average of 10 livestock units per hectare
The number of units in 250 hectares will be;
250 * 10 = 2,500 units
Amount earned per unit is $20 per year
So, for 2,500 units, we have
2500 * $20 = $50,000
A bakery bakes 2000 loaves in 5 hours . How many loaves will be baked in 12
Answer:
4,800 loaves.
Step-by-step explanation:
Solve by utilizing ratios and cross-multiplication.
please help me!!!!lol
Answer:
a = 0, b = 7
a = 1, b = 6
a = 2, b = 5
a = 3, b = 4
a = 4, b = 3
a = 5, b = 2
a = 6, b = 1
a = 7, b = 0
Step-by-step explanation:
the sum of a and b must equal 7 because 4 x 7 = 28
What’s the point of intersection line 1 is 3x-2y=5 and Line 2 is x+2y=7
Answer:
(3,2)
Step-by-step explanation:
3x-2y=5
x+2y=7 Add them up
4x=12 Solve for x
x=3
3+2y=7 Plug it back into either one of the parent functions and solve for y
2y=4
y=2
(3,2) That's the point where the two lines intersect each other.
List two pairs of alternate interior angles and write them as congruence statements.
Answer: 3 and 6
5 and 4
Step-by-step explanation:
3 and 4 are congruent to 5 and 6
Find the values of x and y.
Answer:
y=60°
x=12°
Step-by-step explanation:
because the propertiy of parallelogram is the opposite side have equal measurement.
that is why y=60°
x+3=15 the paralla side are equal
x=15°-3°
x=12°
proof》》》》x+3=
12°+3°=15°
15°=15°
what is the volume of a sphere with a radius of 9.2cm, rounded to the nearest tenth of a cubic centimeter
Answer:
Step-by-step explanation:
Answer:1630.9 cm
v=4/3πr^3
radius =9.2
Plug in
4/3π(9.2)^3
3261.76066-
Volumenof hemisphere Half of volume of spehere
3261.76066698/2
=1630.9 cm^3
Write the following series in sigma notation.
5+13+21+29+37+45+53
Answer:
203
Step-by-step explanation:
Answer:
∑ᵢ⁷₌ ₁(7+8i)
Explanation:
In order to write a series in sigma notation you must:
Identify the index of summation and first value. In the equation, the index of summation would be i and the first value is assumed to be 1 due to the pattern that can be traced back. Identify the last value of n, which would be 7 in the series. This value is placed as a superscript next to or above the capital Greek letter ∑.Identify the formula for the terms. In thes case, the formula for the terms is (7+8i) because there are seven terms in the sequence that are increasing by 8. The variable i comes after because that is the letter used in the index of summation.Laptop scan 182 megabytes of data in 7 seconds. How many megabytes does it download per seconds
Answer:
jdkkdksmsmsmsksksksksksmaMmamMamnz
Step-by-step explanation:
nnznznznznxnxnxnsnskakakakakakzznnznanananaan
person 6-9 MathXL 8th grade question 2
Answer:
<1 = 112degrees
<2 = 33degrees
Step-by-step explanation:
From the figure, the sum of interior angles of the larger triangle is equal to the exterior, hence;
<1 + 15 = 127
<1 = 127 - 15
<1 = 112degrees
For the smaller triangle;
<1 = <2 + 79
112 = <2 + 79
<2 = 112-79
<2 = 33
Hence the measure of <2 is 33degrees
can i have help please im not smart lol
Answer:
w + 1.3 = 2.7
call me an i.d.i.o.t all you want but can someone help me understand this please
NO LINKS OR PDF FILES THAT DONT WORK
So supplementary angles are ones that add up to 180degrees and complementary ones add up to 90degrees.
So for the left side, you find what angle is supplementary to the given one. For the angle of 35, another angle of 145 will add up to 180.
The right side want you to find the complementary angles, so for the angle of 18, another angle of 72 will add up to 90.
I always forget supplementary vs complementary, but a little bit of practice will help a lot.
Calculate the perimeter and the area of the figure use 3.14
Answer:
Step-by-step explanation:
13.
P= 19.42mm
A= 18.32mm²
Answer:
Half of 6 is 3(new radius)
2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42
2 + 2 + 2 = 6
6 - 2 = 4
Add lengths:
9.42 + 6 + 4 = 19.42 mm is your perimeter
2 x 2 = 4
3^3 = 9
9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13
Add areas:
4 + 14.13 = 18.13 mm2 is your area
Select all the expressions that are equivalent to 4 (3x+6y
A. 12x+6y
B. 12x+24y
C. 2 (6x+12y)
D. 4 (12x+24y)
Answer:
the answers are b and c
Step-by-step explanation:
b
[tex]12x + 24y = \\ 4(3x + y)[/tex]
c
[tex]2(6x + 12y) = \\ 12x + 24y = \\ 4(3x + 6y)[/tex]
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 20,40,80,...
Answer:
5100
Step-by-step explanation:
the geometric sequence is
f(n) = 20(2)^(n-1)
add up the first 8 to get
PLEASE HELP!!!
A weather forecaster predicts that there is a 50% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain on both days?
Which statements about the graphs of functions g(x) = 4x and f(x) = x are true? Select all that apply.
A. g is wider than
B. fand g open in the same direction
C. fand g have the same vertex
D. fand g have the same axis of symmetry
Answer:
A
Step-by-step explanation:
Find the height of a right triangle with a hypotenuse of 15 feet and a base of 12 feet.
Answer:
c^2=a^2+b^2
c is hypothesis b is abase h is a
15^2=x^2 +12^2
225-144 =x^2
81=x^2
x=9
2 x [(27–3) - (3+4)] = n
what’s (n)
Answer:
n = 34
Step-by-step explanation:
2{(24- ( 3 + 4)) =n
2{(24 - 7) =n
2 x 17 = n
34 = n
swap the sides
n = 34
A kite is flying on a string that is 73 feet long. The angle
the kite makes with the ground is 51 degrees. How high
is the kite flying?
Answer:
56.73 ft
Step-by-step explanation:
Given:
51° (angle)
73ft (hypotenuse)
With the given information use sin to determine the height of the kite.
sin51° = x/73
solve for x (height)
x= 73*sin51°
x= 56.73ft
Someone help me please
Step-by-step explanation:
I think the choose 3 (g , h ,f )
The center of the Pentagon in Arlington, Virginia, is a courtyard in the shape of a regular pentagon The pentagon
could be inscribed in a circle with a radius of 300 feet. Find the area of the courtyard Round to the nearest tenth
Answer:
213,987.7 ft2
Step-by-step ex planation:
Find the value of x pls I’ll give brainleist.
Answer:
x=15°
Step-by-step explanation:
We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.
(7x-10)+(6x-5)=180
7x-10+6x-5=180
13x-15=180
13x=195
x=15
Please help me with my work
Answer:
Step-by-step explanation:
This is just simple addition so there really isn't anything to talk about.
Just note that -5 1/2+6 3/4=1 1/4.
Then, we do 1 1/4+(-4 1/4)
This is just -3.
Which graphs shows I(-3,-1)
Answer:
Option 3 (lower left)
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
D because mean is the subtraction of the biggest number and the smallest. so 17-8=9
Answer:
I think it's D
I don't know tho
Which is the factored form of x(w – 1) + (W – 1)?
22 pts
Answer:
Solution given:
x(w – 1) + (W – 1)
distribute it:
xw-x+w-1
xw+w-x-1
take common from each term
w(x+1)-1(x+1)
take common again
(x+1)(w-1)
the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).
45 is what percent of 500?
Help