Answer:
The diagonal of a square with side of 16 cm is, 22.63
Step-by-step explanation:
A square has all equal sides, so all 4 sides are 16.
A triangle's side's can be found using this formula: a^2+b^2=c^2
(the Pythagorean theorem)
If you cut a square in half a triangle is formed (with a diagonal across the square, which is what we are searching for)
16^2+16^2=c^2
256+256=c^2
512=c^2
Square root both sides
c= 22.63
Hope this helps! Please mark brainliest :)
Value of x explain how you found the value of x
Answer:
A) 25
Step-by-step explanation:
Set the ratios. Place the similar sides equal to each other.
Sides:
AB/CB = XY/ZY
Plug in corresponding numbers to the corresponding sides:
50/40 = x/20
Simplify. Divide 2 from both the numerator and denominator of the first fraction to get common denominators:
(50/40)/(2/2) = 25/20
25/20 = x/20
x = 25
A) 25 is your answer.
~
Answer: A 25
Step-by-step explanation:
A set of cards with a letter on each card as shown below are placed into a bag. Howard picks a card at random from the bag.
Determine the probability that the card is an E
Answer: 1/10 or 10%
Step-by-step explanation:
The required probability that the card is an E will be 0.1%.
What is probability?A Probability can be defined as the ratio of favorable outcomes to the total number of events.
P(E) = Number of favorable outcomes / total number of outcomes
A set of cards has sample = U E A R Q H C H L A
Total number of sample s(n) = 10
We need to find the probability that the card is an E
For probability for E,
p(E)= 1 / 10 = 0. 1%
Thus, the required probability that the card is an E will be 0.1%.
Learn more about probability here:
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The perimeter of a rectangle is 32 cm. If the width is 4 cm,find the length.
Answer:
it is 8
Step-by-step explanation:
Answer:
The length is 12cm
Step-by-step explanation:
The perimeter is the sum of all the sides
To work out the length of the rectangle you would first need to multiply the width of 4 by 2, this gives you 8. This is because the perimeter of the rectangle is the sum of all the sides, and as the rectangle has two sets of identical parallel lines.
The next step is to minus 8 from 32, this gives you 24. This is because we are isolating just the set of lengths.
The next step is to divide the value of 24 by 2, this gives you 12. This is because we had previously worked out what double the length is due to it being a set of parallel lines.
1) Multiply 4 by 2.
[tex]4*2=8cm[/tex]
2) Minus 8 from 32.
[tex]32-8=24cm[/tex]
3) Divide 24 by 2.
[tex]24/2=12cm[/tex]
Checking your answer:
To check your answer you would simply add the values of: 12, 12, 4, 4, and if this gives you 32 then the answer is correct.
1) Add 12 and 12 and 4 and 4.
[tex]12+12+4+4=32cm[/tex]
please help me with this
Answer:
3/8
Step-by-step explanation:
Find the height of the trapezoids
20 - 10 = 10
10/2 = 5
Find the area of the trapezoids
5*(20+10)/2 = 75
The formula for the area of the trapezoid is the height * the bases added together divided by 2
75*2(this is because there are 2 trapezoids) = 150
Put this to proportion of the total area of the dart board
150/[tex]20^{2}[/tex] = 150/400 = 3/8
3/8 is the probability that you score 3 points
Write an equation for an ellipse centered at the origin, which has foci at ( 0 , ± 24 ) (0,±24)left parenthesis, 0, comma, plus minus, 24, right parenthesis and co-vertices at ( ± 10 , 0 ) (±10,0)
Answer:
[tex]\frac{x^{2}}{400} + \frac{y^{2}}{976} = 1[/tex]
Step-by-step explanation:
The distance between foci with respect to origin is determined by mean of the Pythagorean Theorem:
[tex]2\cdot c = \sqrt{(0-0)^{2}+[24-(-24)]^{2}}[/tex]
[tex]2\cdot c = 48[/tex]
[tex]c = 24[/tex]
The distance between origin and any of the horizontal co-vertices is:
[tex]a = \sqrt{[10-(-10)]^{2}+(0-0)^{2}}[/tex]
[tex]a = 20[/tex]
Now, the distance between origin and any of the vertical co-vertices is determined by the following Pythagorean relationship:
[tex]c^{2} = b^{2} - a^{2}[/tex]
[tex]b^{2} = a^{2} + c^{2}[/tex]
[tex]b = \sqrt{a^{2}+c^{2}}[/tex]
[tex]b = \sqrt{20^{2}+ 24^{2}}[/tex]
[tex]b = 4\sqrt{61}[/tex]
Lastly, the equation of the ellipse in standard form is:
[tex]\frac{x^{2}}{400} + \frac{y^{2}}{976} = 1[/tex]
Answer:
x^2/100+y^2/676=1
Step-by-step explanation:
Observe a sequência de figuras a seguir.
Considerando que a lei de formação permanecerá a mesma, a figura que ocupará a posição 53a na sequência dada, será:
Answer:
C) Equal to the figure in position 3.
Step-by-step explanation:
Assume the sequence of figures is like the one below.
The pentagons differ in the number of stars in the sequence:
1, 2, 3, 4, 5, 1, 2, 3, 4, 5…
The sequence repeats after the fifth term.
To find the 53rd term, find the remainder for 53 ÷ 5.
53 ÷ 5 = 10, with a remainder of 3.
This tells you there are ten complete sequences (50 numbers), and three more numbers.
The 53rd term is 3, so
The figure that will occupy position 53 in the sequence is equal to the figure in position 3.
Find the area of the shape shown below
Which graph represents the hyperbola = 1?
Answer:
yall not all of the answers for these ones are on here. go to symbolab and type in the hyperbola like x^2/a^2-y^2/b^2=1 and look at where it intersects the axis. it'll get you the right answer
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The third graph aka the one that looks most like an X. It's right because Edge said so.
Assuming its y^2/6^2 - x^2/2^2 = 1 I repeat the answer is the third graph. C.
determine whether the function represented by the equation is quadratic
Answer:
not quadratic because there is not a quadrat in it.
Step-by-step explanation:
The graph of a quadratic funtion is a parabola.
The general form of quadratic function is this:
f(x) = ax² + bx + c
Where a, b, and c are numbers.
Please uderstand that a can not be zero, which means that any quadratic function has at least one term with ² in it.
In this example, there is no quadrat visible, so it is not quadratic. By the way, y = -9x + 19 is a so called linear equation. It's graph is a line.
In the given figure, arcWY = 76° and arcXZ = 112°. What is the difference of the measures of angle WPY and angle XPY?
A. 8°
B. 9°
C. 16°
D. 18°
Answer:
C
Step-by-step explanation:
Answer:
A. 8
Step-by-step explanation:
#platolivesmatter
A square pyramid has a base of total area of 144 m square root 2 and a volume of 384m cubic what is the slant height of the pyramid?
Answer:
Slant height of the pyramid = 11.66 m
Step-by-step explanation:
A squad pyramid has a volume of
V = ⅓ × (area of base) × (vertical height)
Area of the pyramid's square base = 144 m²
Volume = 384 m³
384 = ⅓ × 144 × (vertical height)
Vertical height = (3×384)/(144) = 8 m
But, the slant height of the square based pyramid forms a right angled triangle with the vertical height of the pyramid and the distance from the centre of the base of the pyramid to an edge of the pyramid.
The distance from the centre of the base of the pyramid to an edge of the pyramid = half of the length of the diagonal of the square base of the pyramid.
The diagonal of the square base of the pyramid also forms a right angled triangle with two sides of the square base of the pyramid.
Area of the square base of the pyramid = 144 m²
Area of a square = (side length)²
Side length = √(Area of the square) = √144 = 12 m
Using Pythagoras theorem,
(Length of the diagonal)² = 12² + 12² = 288
Length of the diagonal = (12√2) m
Half of the length of the diagonal of the square base = 6√2 m
Using Pythagoras theorem further
(Slant height of the pyramid)² = (vertical height of the pyramid)² + (Half of the length of the diagonal of the square base)²
(Slant height of the pyramid)² = 8² + (6√2)² = 64 + 72 = 136
Slant height of the pyramid = √136 = 11.66 m
Hope this Helps!!!
describe the relationship between 45 stundents and 15 stundents
help meh
A timer rings every half hour for 3 1/2 hours.
Use your model to determine the number of rings.
dont make me feel like that was a waste
Answer:
7 times
Step-by-step explanation:
So since it rings every half hour, there should be 2 rings every hour, if not you are not on our planet. (60 mins in an hour, 30 mins = 1, so 60 mins =2)
So since it rings for 3 full hours, we get an initial step of 3 * 2 = 6 rings
Then there is another 1/2 ring because 3 and a 1/2 hours. So 6+1=7
hope i helped :) im not sure what you mean by model :(
Is Y=5x+2 in slope intercept form?
Answer: yes, the equation [tex]y = 5x +2[/tex] is a slope-intercept form.
Step-by-step explanation:
-The equation of a slope-intercept form:
[tex]y = mx + b[/tex] (where [tex]m[/tex] represents the slope, and [tex]b[/tex] represents the y-intercept).
I need help in fractions
Answer:
I’ll help you just show me the question
Step-by-step explanation:
-3(x + 4) = 6(-x - 1)
Answer: x = 2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
-3(x+4)=6(-x-1)
1. Distribute
-3x+(-12)=-6x-6
-3x-12=-6x-6
3x-12=-6
3x=6
x=2
Which of the following statements is true for inverse functions ƒ(x) and g(x)?
Question 1 options:
A)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x
B)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 0
C)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 1
D)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = ƒ(x)
Answer:
A
Step-by-step explanation:
Given: functions f(x) and g(x)
To choose: the correct option
Solution:
A function is a relation in which each element of the domain has a unique image in the co-domain.
Composition of functions refers to the combining of two or more functions such that the output of one function becomes the input for the next function.
Two functions f(x) and g(x) are inverse functions if (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x.
Answer:
A) (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x
Step-by-step explanation:
A playground is located on a triangular piece of land. Two sides of the playground are 157 feet long and they meet at an angle of 65°. Your are hired to build a fence around the playground. Find the cost of the fencing material needed if it will cost $11.75 a foot.
Answer:
$5,671.84
Step-by-step explanation:
To find the third side, we can use the law of cosines:
c^2 = a^2 + b^2 - 2ab*cos(theta)
c^2 = 157^2 + 157^2 - 2*157*157*cos(65)
c^2 = 28463.7649
c = 168.71 feet
The perimeter of the playground is:
P = 157 + 157 + 168.71 = 482.71 feet
If each foot costs $11.75, the final cost is:
Cost = 482.71 * 11.75 = $5,671.84
How would I solve this? Can I get steps?
Answer:
p = ± q / 5r + 8; Option D
Step-by-step explanation:
We are given the following equation; q^2 / p^2 - 16p + 64 = 25r^2;
q^2 / p^2 - 16p + 64 = 25r^2 ⇒ Let us factor p^2 - 16p + 64, as such,
p^2 - 16p + 64,
( p )^2 - 2 * ( p ) * ( 8 ) + ( 8 )^2,
( p - 8 )^2 ⇒ Now let us substitute this into the equation q^2 / p^2 - 16p + 64 = 25r^2 in replacement of p^2 - 16p + 64,
q^2 / ( p - 8 )^2 = 25r^2 ⇒ multiply either side by ( p - 8 )^2,
q^2 = 25r^2 * ( ( p - 8 )^2 ) ⇒ divide either side by 25r^2,
q^2 / 25r^2 = ( p - 8 )^2 ⇒ Now apply square root on either side,
| p - 8 | = √( q^2 / 25r^2 ) ⇒ Simplify,
| p - 8 | = q / 5r,
| p | = q / 5r + 8,
Answer; p = ± q / 5r + 8; Option D
your garden has a perimeter of 36 feet. what is the length of missing side.
Answer:
I think the answer is 3 for 1 length side. And in you need 12 for both length sides. So the total is 36 and one side is 12. Since it's a rectangle,you now know two side lengths since they are the same,just opposite from each other. So 12 + 12 = 24. You do 36 – 24 because you need to get the total number for length which is 12. 12 divided by 2 is 6 which is one length side. You can check by doing 6 + 6 + 12 + 12 and you get 36.
Hope this helped!
Can I get brainliest?
What is the way to best choose the answers
Which of the following is an example of exponential growth or decay?
A.population of a city decreasing by a factor of .1 each year
B.population of a city increasing by a 100 people each year
C.population of a city decreasing by 100 people each year
D.population of a city increasing by 100 people then decreasing by 50 each year
Ella spends $4.25 each day for lunch at school. How much money does she spend on lunches for 5 days?
Answer:
21.25
Step-by-step explanation:
Answer:
21.25
Step-by-step explanation:
4.25x5=21.25
You buy a basket of 24 strawberries. You eat them
as you walk to the beach. It takes the same amount of time to walk
each block. When you are halfway there, half of the berries are gone.
After walking 3 more blocks, you still have 5 blocks to go. You reach
the beach 28 minutes after you began. One-sixth of your strawberries
are left.
a. Is there enough information to find the time it takes to walk each
block? Explain.
b. Is there enough information to find how many strawberries you
ate while walking the last block? Explain.
Answer:
yes
Step-by-step explanation:
there is enough information
which expression is equivalent to StartFraction (2 m n) Superscript 4 Baseline Over 6 m Superscript negative 3 Baseline n Superscript negative 2 Baseline EndFraction? Assume m not-equals 0, n not-equals 0
A.( 8m^7 * n^6)/3
B.(10m^7 * n^6)/3
C.(8m^16 * n^12)/3
D.(m^4 * n^6)/3
Answer: A.
Step-by-step explanation:
Find the volume of the figure. Use 3.14 for pi.
Answer:
10082.36cm²
Step-by-step explanation:
The formula for volume of a cone: V = [(3.14) r²](h/3)
Steps:
1. Find the value of the radius: 1/2 of the diameter (26/2) = 13cm
2. Find the value of the height: 31cm
3. Plugin: [(3.14) 13²] (31/3)
Solve for the volume of the cone:
a) 13² = 169
b) 169(pi) = 530.66
c) 530.66 (31/3) = 530.66 (10.3333)
Volume of cone: 5483.31
The formula for volume of hemisphere is 1/2[(4/3)3.14{r³}]
Steps:
1. Find the value of the radius: 13cm
2. Solve for the volume of the hemisphere
1. 13x13x13 = 2197
2. 2197 (3.14) = 6898.58
3. (4/3) 6896.58 = 9198.1067
4. (1/2) 9198.1067 = 4599.05
Add the two volumes together:
4599.05+5483.31 = 10082.36cm²
This took forever since I used the google calculator, but it got done after forever! Hope this helps!
The Volume of the figure is 10,082.53 cm³.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.
Volume is a three-dimensional quantity used to calculate a solid shape's capacity.
We have a cone surmounted by Hemisphere.
So, Volume of Figure
= Volume of Cone + Volume of Hemisphere
= 1/3 πr²h + 2/3 πr³
= 1/3 x 3.14 x 13 x 13 x 31 + 2/3 x 3.14 x 13 x 13 x 13
= 5,483.48 + 4,599.05
= 10,082.53 cm³
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help me plz and 5x + 25 > 75
Answer:
x > 10
Step-by-step explanation:
Isolate the variable, x. Treat the > sign as a equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 25 from both sides:
5x + 25 (-25) > 75 (-25)
5x > 75 - 25
5x > 50
Next, divide 5 from both sides:
(5x)/5 > (50)/5
x > 50/5
x > 10
x > 10 is your answer.
~
A square unit that is 1 unit wide and 1 unit long is a?
Answer:
A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.
Which equation represents a hyperbola shown in the graph?
Answer:
C
Step-by-step explanation:
Answer:
The answer is C on edge
Step-by-step explanation:
What are the coordinates of point L?
Answer:
(1, -3)
Step-by-step explanation:
Start where the axes meet. That is the origin (0,)
Move 1 place to the right that is the x coordinate
Move 3 places down that is the y coordinate
(1,-3)
