Answer:
(pq)/2
Step-by-step explanation:
p and q are the diagonals of the kite
Answer:
Area = (1/2) * (Diagonal_1)*(Diagonal_2)
where Diagonal_1 is one diagonal in the kite
and Diagonal_2 is 2nd diagonal in the kite
Step-by-step explanation:
The diagonals of a kite intersect at right angles and one diagonal bisects the other.
so you get two triangles, with a base length of (Diagonal 1)
the height_1 = a , height_2 = b
a + b = Diagonal_2
area of one triangle in Kite = (1/2)(Diagonal_1)*a
area of second triangle in Kite = (1/2)(Diagonal_1)*b
area of kite = area of triangle_1 + area of triangle_2
area of kite = (1/2)(Diagonal_1)*a + (1/2)(Diagonal_1)*b
area of kite = (1/2)*(Diagonal_1)*(a + b)
Area of kite = (1/2) * (Diagonal 1)*(Diagonal2)
Sally likes to collect coins.Sally got 37 coins from her brother 21 coins from her month era as well 22 coins from Benny however sally lost 32 coins before putting those coins into her piggy bank how many coins does sally have in her piggy bank
Answer: Sally has 48 in her piggy bank
Step-by-step explanation:
Hi, to answer this question, first, we have to add the coins given to Sally:
37 +21 +22 = 80
Since she lost 32 coins before putting those coins into her piggy bank, we have to subtract that number to the total number of coins collected.
80-32 = 48 coins
Sally has 48 in her piggy bank
Feel free to ask for more if needed or if you did not understand something.
PLEASE HELP!!! exchange for my snpcht
A game show host offers to give you one penny on the first day, 2 pennies on the second day, 4 pennies the third day, and so on for the next 25 days.
Is this geometric or arithmetic?
How much money will you have at the end of the 25 days?
Answer:
it's geometric
Step-by-step explanation:
geometric equations change by a rate witch means you multiply to get to the next number in the sequence
arithmetic you add to get to the next number in the sequence
Answer:
Geometric
$335,544.31
Step-by-step explanation:
1, 2, 4, ..
This is Geometric progression with:
First term: 1
Common ratio: 4/2 = 2
S25 = 1(2²⁵-1)/(2-1) = 33,554,431
33,554,431 pennies or
33,554,431/100 = $335544.31
what is the perimeter of this tile 4in 1in
Answer:
10 inches
Step-by-step explanation:
Assuming a rectangular tile
P = 2(l+w) where l is the length and w is the width
P = 2(1+4)
= 2(5)
= 10 inches
Answer:
10 in
Step-by-step explanation:
Suppose a soup can has a diameter of 10cm and a height of 12cm what is the volume of the soup in the can
Answer: 942.48 [tex]Units ^{3}[/tex]
Step-by-step explanation:
First we find the area of the base (the circle) the formula for that is [tex]\pi r^{2}[/tex]
the radius is 5 because it is half the diameter.
so our base is 78.54
then we multiply that by the height
so 78.54 times 12 = 942.48
Deanna gets 3 problems incorrect on her math quiz and scores 85%. How many questions were on the quiz?
Answer:
There were 20 questions on the quiz
Step-by-step explanation:
In this question, we are concerned with knowing the number of questions on a quiz, given that Deana had a certain percentage after scoring an amount of marks.
We proceed as follows;
Let the number of questions on the quiz be X.
Now, she got 85% by making 3 incorrect choices. This means the percentage of questions she got incorrectly would be 100-85 = 15%
what we are saying is that it is just 15% of her questions that were wrong.
This mathematically;
15% of x = 3
15/100 * x = 3
15x = 3 * 100
15x = 300
x = 300/15
x = 20
Do the following angle measures make a triangle: 88°, 16°, 65°?
It takes 8 hours for 4 men to paint a room.
How many men would be needed to paint the room in 2 hours?
Answer:
16 men would be needed to paint the room in 2 hours
Step-by-step explanation:
We can use proportion to solve the problem given, but first we need to determine whether it is a direct or indirect proportion.
If the number of men are increase, the time taken to do the work will decrease, If the number of men are decrease, the time taken to do the work will increase. Therefore, this is an indirect proportion.
We are going to arrange the data inversely.
Let x be the number of men needed to paint the room in two hours
8 hours = 2 hours
x = 4 men
Cross-multiply
2×x = 8×4
2x = 32
Divide both-side of the equation by 2
2x/2 = 32/2
x = 16 men
16 men would be needed to paint the room in 2 hours
April shoots an arrow upward at a speed of 80 feet per second from a platform 25 feet high. The pathway of the
arrow can be represented by the equation h = -16t2 + 80t + 25, where h is the height and t is the time in
seconds. What is the maximum height of the arrow?
90 feet
140 feet
125 feet
80 feet
Answer:
The maximum height of the arrow is 125 feet.
Step-by-step explanation:
The pathway of the arrow can be represented by the equation,
[tex]h = -16t^2 +80t + 25[/tex] .....(1)
Where h is height in in feet and t is time in seconds.
It is required to find the maximum height of the arrow. For maximum height, [tex]\dfrac{dh}{dt}=0[/tex].
So,
[tex]\dfrac{d(-16t^2 +80t + 25)}{dt}=0\\\\-32t+80=0\\\\t=\dfrac{80}{32}\\\\t=2.5\ s[/tex]
Put t = 2.5 s in equation (1). So,
[tex]h = -16(2.5)^2 +80(2.5) + 25\\\\h=125\ \text{feet}[/tex]
So, the maximum height of the arrow is 125 feet.
what is the value of p
13²=p
Answer:
169
Step-by-step explanation:
13 to the 2nd power is 169
hope this helps!!
p.s. could you please help me with my recent question??
What is the value of x?
Answer:
x=2
Step-by-step explanation:
We will use the secant-secant Formula:
(whole secant) x (external part) = (whole secant) x (external part)
(1+x+4) * (x+4) = (11+x+1) * (x+1)
Combine like terms
(x+5) (x+4) = (x+12) (x+1)
FOIL
x^2 + 4x+5x + 20 = x^2 + x+ 12x + 12
Combine like terms
x^2 + 9 x + 20 = x^2 + 13 x + 12
Bring everything to the left
x^2 + 9 x + 20- (x^2 + 13 x + 12) = x^2 + 13 x + 12-( x^2 + 13 x + 12)
x^2 + 9 x + 20- (x^2 + 13 x + 12) =0
Distribute the minus sign
x^2 + 9 x + 20- x^2 - 13 x - 12 =0
Combine like terms
-4x +8 = 0
Subtract 8 from each side
-4x+8-8=0-8
-4x=-8
Divide each side by -4
-4x/-4 = -8/-4
x=2
quadratic formula 2x^2+7x-15=0
Answer:
Step-by-step explanation:
I hope this was what you were looking for. Have a nice day!
Answer:
x= 3 /2 , x=−5
(2x−3)(x+5)=0
Step 2: Set factors equal to 0.
2x−3=0 or x+5=0
Jameson has $4,300 in credit card debt with 14% interest that he wants to pay off in 24 months. He will need to make monthly payments of $206.46 each month. Calculate the total cost of repayment and the interest Jameson will pay.
Answer:
The answer to this question can be defined as follows:
net paid interest = $ 655. 04
Total cost = $ 4955.04
Step-by-step explanation:
Given values:
loan amount = $ 4,300
monthly payment = $ 206.46
interest rate = 14 %
Time = 2 years
Solution:
yearly payment = one month amount × 12
1 year payment = $ 206.46 × 12
1 year payment = $2477.52
because Time is 2 year then payment is = $2477.52 *2
2 year payment = $ 4955.04
net interest paid = total payment - loan amount
= $ 4955.04 - $4300
= $ 655.04
total cost = $ 4955.04
net paid interest = $ 655.04
The total cost of repayment and the interest should be $4,955.04 and $655.04.
Calculation of the total cost and interest:Since
loan amount = $ 4,300
monthly payment = $ 206.46
interest rate = 14 %
Time = 2 years
Now
yearly payment = one month amount × 12
So,
= $ 206.46 × 12
= $2477.52
Now the two year payment should be
= $2477.52 *2
= $ 4955.04
Now
net interest paid = total payment - loan amount
= $ 4955.04 - $4300
= $ 655.04
hence, The total cost of repayment and the interest should be $4,955.04 and $655.04.
Learn more about interest here: https://brainly.com/question/24307706
Montel spends $ 0.75 each time he plays his favorite video game. If you have $ 10, write and solve an inequality to calculate how many video games you can play.
Brainliest and 25 points
Answer:
Inequality=0.75x∠10 Answer=13 or less
Step-by-step explanation:
Answer:
y=.75x (13 Times)
Step-by-step explanation:
y is the amount it will cost Montel to play the video game x amount of times, if Montel plays the game 2 times, 2x.75 is $1.50 so it would cost him $1.50 to play the game 2 times. However, we want to find how many times he can play with a $10 budget, so we must enter $10 as y and divide by .75 and we should get 13.33333. This means Montel will be able to play 13 times and will have 25 cents left over because 13 x .75 is $9.75
how many ounces are in 3 pounds
Answer:
48
Step-by-step explanation:
16*3
16 oz in a pound
Jerome solved the equation 1
3
x + 5
6
= 1 as shown.
1. Subtraction property
of equality: 1
3
x + 5
6
− 5
6
= 1
1
− 5
6
2. LCD: 1
3
x = 1
6
− 5
6
3. Multiply by the
reciprocal: ( 3
1
) 1
3
x = −4
6
( 3
1
)
4. Solve and simplify: x = −12
6
= −2
Analyze Jerome’s steps. In which step did he make an error?
In step 1, he needed to add StartFraction 5 Over 6 EndFraction to both sides of the equation.
In step 2, the LCD was not used correctly to make equivalent fractions.
In step 3, the correct reciprocal was not multiplied to both sides.
In step 4, the answer was not reduced correctly.
Answer:
B (second option)
Step-by-step step 2, the LCD was not used correctly to make equivalent fractions.
Answer:
the answer is b
Step-by-step explanation:
got it right
Leah wants to see a castle in an amusement park. She sites the top of the castle at an angle of elevation of 45°. If she knows the castle is $160 from her how tall is the castle prom at her level of vision?
Answer:
x=236 feet
Step-by-step explanation:
Line segment BD is a diameter of circle E.
Circle E is inscribed with triangle B C D. LIne segment B D is a diameter. Line segments D C and C B are secants. Angle D B C is 51 degrees.
What is the measure of arc B C?
39°
78°
102°
129°
Answer:
78 degrees
Step-by-step explanation:
Mainly because the measure of the arcs intercepted by the interior angles equals 2 times those interior angles.
so arc DC = 2 * angle DBC = 2 * 51 degrees = 102 degrees.
We also see that because BD is a diameter the angle BCD that intercepts it is 90 degrees because half-circle arc BD = 2 * angle BCD
180 degrees = 2 * angle BCD
also we want arc BC.
we know that the total circle is the sum of all 3 arcs.
arc BC + (half-circle) arc BD + arc DC = 360 degrees
arc BC + 180 + 102 = 360 degrees.
arc BC = 360 - 180 - 102 = 78 degrees
Which angles are supplementary to eachother
Answer:
14 and 15
Step-by-step explanation:
What is the surface area?
Answer:
416 square yards
Step-by-step explanation:
The formula for the surface area of the 2 bases is just b*h
12*8=96 yd²
Finding the lateral area:
(10*10)+(10*10)+(12*10)=
100+100+120=
320 yd²
Add the lateral surface area and the surface area of the 2 bases for the total surface area:
320+96=416 yd²
A bag contains four yellow marbles, six red marbles, five blue marbles, six white marbles, and four black marbles. What is the theoretical probability of pulling a white marble from the bag?
Answer is 6/25
because you have to add all the marbles wich will be:
four yellow marbles, six red marbles, five blue marbles, six white marbles, six white marbles
4 + 6 + 5 + 6 + 4 = 25
so there is 6 white marbles and a total of 25 marbles so it will be 6/25
have a nice day!
also can you please give me brainliest :)
a line passes through the point (10, -2) and had a slope of -1/2. write an equation in point-slope form for this line.
y+2=-1/2(X-10)
y=1/2X -5-2
Y=1/2X -7
Find the value of z.
Answer:
[tex]60 \: degrees[/tex]
Step-by-step explanation:
[tex]180(n - 2)[/tex]
you have to put the number of sides for n
[tex]180(n - 2) \\ 180(6 - 2) \\ 180 \times 4 \\ = 720[/tex]
720 is the sum of interior angles. so to find the value of an angle you have to divide 720 by the number of angles.
[tex] \frac{720}{6} = 120 \: \: degrees[/tex]
we know that,
interior angle + exterior angle = 180 degrees
[tex]120 + z = 180 \\ z = 180 - 120 \\ z = 60 \: \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Avery earned $68 at her job when she worked for 8 hours. What was her hourly pay rate in dollars per hour? Express your answer in simplest form.
Answer:
$8.5
Step-by-step explanation:
divide 68.00 by 8
Sunita creates a scale model of an aeroplane. The scale of the model is 5 cm to 13 m. Sunita's model has a wingspan of 24 cm. What is the wingspan of the real aeroplane?
To find the wingspan of the real aeroplane, we use the scale of 5 cm to 13 m and set up a proportion comparing the model's wingspan of 24 cm with the real wingspan, which results in a real wingspan of 62.4 m.
Sunita's scale model of an aeroplane has a wingspan of 24 cm, and the scale used is 5 cm to 13 m. To find the wingspan of the real aeroplane, we set up a proportion where 5 cm on the model represents 13 m in reality. The ratio would be:
Model scale: 5 cm
Real scale: 13 m = 1300 cm (since 1 m = 100 cm)
Now we find the corresponding real-life measurement for the 24 cm wingspan on the model:
(5 cm / 1300 cm) = (24 cm / Wingspan in cm)
To solve for the real wingspan, we cross-multiply and divide:
5 cm * Wingspan in cm = 1300 cm * 24 cm
Wingspan in cm = (1300 cm * 24 cm) / 5 cm
Wingspan in cm = 31,200 cm / 5 cm
Wingspan in cm = 6,240 cm
Converting back to meters (divide by 100 since 1 m = 100 cm):
Wingspan in m = 6,240 cm / 100 = 62.4 m
Zoe walked 9 miles in 6 hours. what was her walking rate in miles per hour? put it in simplest form
Answer:
1.5
Step-by-step explanation:
The layers of a rectangular prism are shown below.
Answer:
18 Cubic cm
Step-by-step explanation:
Count all of the squares granted one cube = 1 cm^3, there are 18 cubes so it would be 18cm^3
Can you guys create your own system of equations word problem, define the variable, write an equation, then solve it and make a sentence explanation on why you did what you chose
Thanks will give brainliest
Answer:
Using a system of equations, however, allows me to use two different variables for the two different unknowns.
number of adults: a
number of children: c
With these variables, I can create equations for the totals they've given me:
total number: a + c = 2200
total income: 4a + 1.5c = 5050
Now I can solve the system for the number of adults and the number of children. I will solve the first equation for one of the variables, and then substitute the result into the other equation:
a = 2200 – c
4(2200 – c) + 1.5c = 5050
8800 – 4c + 1.5c = 5050
8800 – 2.5c = 5050
–2.5c = –3750
c = 1500
Now I can back-solve for the value of the other variable:
a = 2200 – (1500) = 700
I have values for my two variables. I can look back at my definitions for the variables to interpret these values. To answer the original question, there were:
1500 children and 700 adults.
Final answer:
A word problem involving two people and their apples, where Alice has twice as many apples as Bob. The variables are defined, the equation is written, and the solution is found.
Explanation:
Word Problem:
Alice has twice as many apples as Bob. Together, they have 15 apples. Define the variable 'x' as the number of apples Bob has.
Equation:
Alice's apples: 2x
Bob's apples: x
2x + x = 15
Solution:
Combining like terms: 3x = 15
Dividing both sides by 3: x = 5
Sentence Explanation:
We defined the variable 'x' as the number of apples Bob has. Since Alice has twice as many apples, we expressed her number of apples as 2x. The total number of apples they have together is 15, so we created an equation by summing up both Alice's and Bob's apples. By solving for 'x', we found that Bob has 5 apples.
find the percentage of 25 cents of $2.00
Answer:
[tex]12.5%[/tex]%
Step-by-step explanation:
[tex]\frac{25}{200}[/tex] is simplified to [tex]\frac{1}{8}[/tex], which in "perfect form," is [tex]12.5%[/tex]%
Answer:
12.5%
Step-by-step explanation:
$2 = 200c
200c ........ 100%
25c ................x%
x = 25×100/200
= 25/2
= 12.5%
What is the area of a regular hexagon with the radius of 8?
Answer:
The regular hexagon is made up of 6 equilateral triangles. Each has a side of 8 ft (the radius) Each area =8^2/4 sqrt 3 =16 sqrt 3 The hexagon's area =96sqrt3 sq ft
Step-by-step explanation:
please help me find the distance between the point (2,5) and (5,9)
Answer:
5 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (5, 9)
d = [tex]\sqrt{(5-2)^2+(9-5)^2}[/tex]
= [tex]\sqrt{3^2+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5