Answer:
The height is 87.5 inStep-by-step explanation:
We can solve the height of a square pyramid using the Pythagoras theorem, this is because the slant height the height and the section of the base form a right triangle
the slant height is equivalent to the hypotenuse
the height is equivalent to the opposite
while the base(half) is the adjacent
Given
the base of the pyramid= [tex]22.2 in[/tex]
the adjacent is = [tex]\frac{22.2}{2} = 11.1 in[/tex]
the slant height (hypotenuse)= [tex]88.2 in[/tex]
we know that Pythagoras theorem states that "The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle) is equal to the square of the length of the hypotenuse ('c').
[tex]c^2=a^2 + b^2[/tex]
[tex]hyp^2=opp^2+adj^2[/tex]
substituting we have
[tex]88.2^2=opp^2+11.1^2\\opp^2= 88.2^2-11.1^2\\opp^2=7779.24-123.21\\opp^2=7656.03\\opp=\sqrt{7656.03} \\opp=87.498\\opp=87.50 in[/tex]
ACORDING OT THE IMAGE, WHATS THE ANSWER????
HURRY 30 POINTS BRAINLIEST!!!
Answer:
231 cubed centimeters
Step-by-step explanation:
Find the area of the base of the pyramid
18 x 7=126 divided by 2= 63 cm
Next, make sure to the remember the formula is [tex]V=\frac{1}{3} BH[/tex]
1/3(63)(11)=
21(11)=231
231 cubed centimeters is the answer.
Answer:
231 cubed centimeters
Step-by-step explanation:
The formula:
1/3(63)(11)=
21(11)=231
Solve the following equations.
28÷x+4=11
Answer:
x=-28/3
28/x=1-4
28/x=-3
28=-3x
-28/3=x
switch them around and that's your answer.
Answer:
x = 4
Step-by-step explanation:
28÷x+4=11
28/x + 4 = 11
Subtract 4 from each side
28÷x+4-4=11-4
28 / x = 7
Multiply each side by x
28/x * x = 7x
28 = 7x
Divide each side by 7
28/7 = 7x/7
4 =x
Kiley found $8.75 in nickels and quarters in the cabinet above the washing machine. Let x represent the number of nickels
she found and y represent the number of quarters. Which equation written in standard form represents the amount of
money she found, and what does its y-intercept represent?
O The equation in standard form is 0.05x + 0.25y = 8.75; the y-intercept represents that if she found 0 nickels, she must
have found 175 quarters.
The equation in standard form is 0.05x + 0.25y = 8.75; the y-intercept represents that if she found 0 nickels, she must
have found 35 quarters.
The equation in standard form is x + 5y =175; the y-intercept represents that if she found 0 nickels, she must have found
175 quarters.
The equation in standard form is x + 5y =175; the y-intercept represents that if she found 0 nickels, she must have found
35 quarters.
Answer:
0.05x+0.25y=8.75; the y intercept represents that if she found 0 nickels she must have found 35 quarters.
Step-by-step explanation:
1. Solve for y:
0.25y= 8.75-0.05x (subtract 0.05x on both sides)
y= (8.75-0.05x)/0.25 (divide by 0.25 on both sides)
2. Since the y intercept can be found when x equals 0, plug in 0 for x into the equation.
y=(8.75-0.05(0))/0.25
y= 8.75/0.25
y=35
In the diagram below, AngleDAB and AngleDAC are adjacent angles.
Lines A B, A D, and A C create two angle. The space between lines A B and A D is (2 x minus 10) degrees. The space between lines A D and A C is (x minus 20) degrees.
If mAngleDAC = 25°, what is mAngleDAB in degrees?
What is mAngleBAC in degrees?
Answer:
it is 80 degrees for first and then 105 degrees for second
Step-by-step explanation:
The measure of ∠BAC is 105°.
Given that, ∠DAC=(x-20)°=25° and ∠DAB=(2x-10)°.
What are adjacent angles?The two angles are said to be adjacent angles when they share the common vertex and side.
Now, ∠DAC=(x-20)°=25°
⇒x=45°
So, ∠DAB=(2x-10)°=80°
Then ∠BAC=∠DAC+∠DAB=25°+80°=105°
Therefore, the measure of ∠BAC is 105°.
To learn more about the adjacent angles visit:
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question is attached
Answer:
31
Step-by-step explanation:
The two angles are equal so
8x-1 = 5x+11
Subtract 5x from each side
8x-5x-1 = 5x-5x+11
3x -1 =11
Add 1 to each side
3x -1+1 = 11+1
3x = 12
Divide by 3
3x/3 = 12/3
x= 4
We want to find
WZY
WZY = 5x+11
= 5(4)+11
=20+11
=31
Given that m= -2 and n=¾, find the value Of
i)m²(n-1)
ii) n²-3/m
Answer:
Given that m = -2 and n = ¾,
m^2 x (n - 1) = (-2)^2 x (3/4 - 1) = 4 x (-1/4) = -1
n^2 - 3/m = (3/4)^2 - 3/(-2) = 9/16 + 3/2 = 9/16 + 24/16 = 33/16
Hope this helps!
:)
What is the solution to this equation?
х
5
= 30
O A. x= 35
B. x= 25
C. x = 150
O D. x = 6
Answer:
D
Step-by-step explanation:
if u said 5x=30 then its D
Answer:D
Step-by-step explanation:6 x 5 equals 30
Someone help me with this plz
Answer:
A
Step-by-step explanation:
The picture is how you solve it
Answer:
V =904.7786842 m^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
The diameter is 12 so the radius is d/2 = 12/2 = 6
V = 4/3 pi 6^3
V = 288 pi
Let pi = 3.14
V =904.32
If we use the pi button
V =904.7786842
it’s due at 9am please help whoever helps first gets a brainliest and everyone gets a thank you
Answer:
Step-by-step explanation:
10) 4x+12
11) 7x+28
12)2x+16
13)9x+54
14)3x+33
15) 5x+35
16) 6x+24
17)8x+72
18) 4x+20
3 s (4 + 6) 2 is an example of
Answer:
It's an example of an numerical expression
Answer:
It's an example of an numerical expression
If there are answer choices, check if this one is on there!
If not, doggo sucks :(
in a box of chocolates, 1/5 of the chocolates contain nuts. the rest of the chocolates do not contain nuts. write down the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts. give your answer in the form 1:n
Answer:
The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4
Step-by-step explanation:
The parameters given are;
Proportion of the box of chocolates that contain nuts = 1/5
Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5
Therefore, we have in a box of chocolates with five chocolates;
The number of chocolates that contain nuts = 1
The number of chocolates that do not contain nuts = 4
Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.
A square has a side length of 4a. One dimension is decreased by 5 and the other dimension is decreased by 5. Expand and simplify the expression that represents the area of the resulting rectangle
Answer:
[tex]Area= 16a^2-40a+25[/tex]
Step-by-step explanation:
given that the side of the square is 4a
The expression for the area can be solved by
1. subtracting 5 from the sides of the square i.e (4a-5)
2. Solving for the area of the square using
[tex]Area= l^2[/tex]
[tex]Area= (4a-5)^2\\Area= (4a-5)(4a-5)\\[/tex]
opening the bracket and expending we have
[tex]Area= 16a^2-20a-20a+25\\Area= 16a^2-40a+25[/tex]
the expression is [tex]Area= 16a^2-40a+25[/tex]
Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 2, 1.3, 4.2, 7.3, 8.9. What is the residual value when x = 4?
Answer:
The residual value when x = 4 is 0.58
Step-by-step explanation:
The residual value of a fitted function is the difference between the actual value of the data for a given input and the result of the fitted function. On this problem for the actual values, when [tex]x = 4[/tex] we have [tex]y_{data} = 7.3[/tex] , although, for the fitted function on the same value of "x", we have a different value, which is calculated below:
[tex]y(4) = 2.78*4 - 4.4 = 6.72[/tex]
The residual value is:
[tex]\text{residual value} = y_{data} - y_{function} = 7.3 - 6.72 = 0.58[/tex]
The residual value when x = 4 is 0.58
Functions are written in terms of variables. The residual value when the value of x is 4 is 0.58
Table and valuesFunctions are written in terms of variables. Given the following function that represent the data in the table
y = 2.78x – 4.4
If the value of x is 4, the corresponding value of y is expressed as:
y = 2.78(4) – 4.4
y = 11.12 - 4.4
y = 6.72
Determine the residual value
Residual value = 7.3 - 6.72
Residual value = 0.58
Hence the residual value when the value of x is 4 is 0.58
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If 3 inches represents 20 miles how many inches does 50 miles represent
Answer:
Step-by-step explanation:
if 3=20
then ?=50
if more less divide
50/20 *3 =7.5
Answer:
7.5 inches
Step-by-step explanation:
We can use ratios to solve
3 inches x inches
---------------- = --------------
20 miles 50 miles
Using cross products
3 * 50 = x * 20
150 = 20x
Divide by 20
150/20 = x
7.5 inches
This recipe makes 15 cupcakes. Luke only wants to make 12 cupcakes. How much of each ingredient does he need? Recipe: Makes 15 cupcakes 12 ounces butter 10 ounces sugar 15 ounces flour 5 eggs I need the answer quickly please :)
Answer:
9.6 ounces butter
8 ounces sugar
12 ounces flour
4 eggs
Step-by-step explanation:
I'm going to write them down so it's easier for me to look at.
12 ounces butter
10 ounces sugar
15 ounces flour
5 eggs
Now make a ratio: 12 : 15 = 4 : 5
Apply this to all of the ingredients.
12 * 0.8 = 9.6
10 * 0.8 = 8
15 * 0.8 = 12
5 * 0.8 = 4
Answer:
Below in bold.
Step-by-step explanation:
12 is 12/15 = 4/5 of 15 so you multiply the amounts of each ingredient by 4/5 or 0.8.
Butter: 12 * 0.8 = 9.6 oz.
Sugar: 10 * 0.8 = 8 oz.
Flour: 15 * 0.8 = 12 oz.
Eggs: 5 * 0.8 = 4 eggs.
4x3 + 10x² - 6x?
Completely factored
Answer:
2x( 2x-1) (x+3)
Step-by-step explanation:
4x^3 + 10x² - 6x
Factor out 2x
2x( 2x^2 +5x -3)
Factor inside the parentheses
2x( 2x-1) (x+3)
Answer:
2x(2x-1)(x+3)
Step-by-step explanation:
4x³ + 10x² - 6x
4x³ = 2x²×(2x)10x² = 5x×(2x)6x = 3×(2x)here 2x is a common factor then we can pull it out:
4x3 + 10x² - 6x = 2x²×(2x) + 5x×(2x) - 3×(2x)
= 2x(2x² + 5x - 3)
= 2x(2x-1)(x+3)
2x² + 5x - 3 = (2x-1)(x+3) , here you can use the quadratic formula to find the roots.
evaluate h-2g for h = 4 and g =32
Answer:
60
Step-by-step explanation:
To solve the answer, we must subsutute h for 4 and g for 32 and solve like shown:
[tex]4-(2)(32)\\4-64\\60[/tex]
Answer:
Step-by-step explanation:
h=4
g=32
2*32=64
h-2g= -60
The measure of each interior angle of a regular polygon can be expressed as x-5 and the number of sides by 10x. Determine the following the number of degrees in each exterior angle
Answer:
0.1948° in each exterior angle
Step-by-step explanation:
The exterior angle measure is 360° divided by the number of sides. Here, that is 10x, so the exterior angle is ...
360°/(10x) = 36°/x
The measure of the interior angle is the supplement of the exterior angle, so we have ...
x -5 = 180 -(36/x)
x(x -5) = 180x -36 . . multiply by x
x^2 -185x = -36 . . . . . subtract 180x
x^2 -185x +8556.25 = -36 +8556.25 . . . . complete the square
(x -92.5)^2 = 8520.25
x -92.5 ≈ ±92.3052
x ≈ 184.8052 or 0.19480
It does not make any sense for the number of sides to be 10·0.1948 = 1.948, so we assume the number of sides is 184.8052·10 = 1848.
Then the number of degrees in each exterior angle is ...
36°/184.8052 = 0.1948
Find the volume of a pyramid with a square base, where the side length of the base is 5.8 ft 5.8 ft and the height of the pyramid is 8.9 ft 8.9 ft. Round your answer to the nearest tenth of a cubic foot.
Answer: The volume of the pyramid is 99.8 cubic feet.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Base area = side length^2 = 5.8^2 = 33.64 ft2
And then:
Volume of a pyramid = 1/3 x base area x height
Replacing with the values given:
V = 1/3 x 33.64 x8.9 =99.8 ft3
The volume of the pyramid is 99.8 cubic feet.
Feel free to ask for more if needed or if you did not understand something.
Ashley can ride her bicycle 15 miles in 2 hours. Ther are 60 minutes in 1 hour and there are 1,760 yard in 1 mile. How many yards does Ashley travel each minute ?
Answer:
440
Step-by-step explanation:
Answer:440
Step-by-step explanation:
When the boat has traveled 7 meters, the height
of the barnacle is approximately:
-1 m
-0.657 m
0.657 m
1 m
Answer:
-0.544m
Step-by-step explanation:
The height of the barnacle is approximately is, 0.657 meters.
What is Algebra?
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
Graph y = sin(x)
Boat travel= 7m
Now,
Let y be the height of the barnacle and x be the distance the boat has traveled
i.e, x = 7 meters
to find the height y :
Substitute the value of x =7 meters in [1] we have;
y = sin(7)
≈0.657.
Therefore, by algebra the answer will be 0.657 meters.
More about the Algebra link is given below.
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Need help with this problem! ASAP!
Answer: B .128 in^3
Step-by-step explanation:
The question is asking for the volume of the figure so multiply the length times the width times the height.
v= 8.2 * 4 * 3.9
v= 127.92 which rounds to 128.
how can you tell what radius is
Answer:
The radius is a line going from the center to the side of the the circle
Answer:
The radius of a circle is the length of the line from the center to any point on its edge. (basically its half a line going through a 180° circle)
Step-by-step explanation:
a straight line extending from the center of a circle or sphere to the circumference or surface: The radius of a circle is half the diameter.
heres an example of what a radius looks like:
hope this helped!
ANSWER ASAP Choice 1 Choice 2 Choice 3 Choice 4
Answer: a, -1/2x-6=y
Step-by-step explanation:
Find the GCF of these monomials, 20x, 18y
Answer:
2
Step-by-step explanation:
[tex]20x = 2 \times 2 \times 5 \times x \\ \\ 18y = 2 \times 3 \times 3 \times y \\ \\ common \: factor = 2 \\ \therefore \: GCF \: of \: 20x \: and \: 18y = 2[/tex]
How to estimate 55 percent of 64?
Answer: 35.2
Step-by-step explanation: To estimate 55 percent of 64, you could round the 55 to 50 percent, and just find half of 64, which is 32. After this, because you only have 5 percent left over, you can take the number you got from 50% of 64 and move the decimal over one place to make it 3.2. Just add that number to 32 and you’ll get your answer.
Plz help!!! 40 points. The graph of a line relates the volume as measured in gallons with its approximate equivalent volume measured in liters. Two
points on the line are (0, 0) and (5, 19) where the value of x is the volume in gallons and the value of y is the approximate
volume in liters
According to the graph of the line, 12 gallons is equivalent to approximately how many liters?
O 3 liters
0 4 liters
46 liters
O 60 liters
Ahh i hope im in time to help!
The answer is C, 46
Hope this helped pls mark be brainliest!!!
I need help with this question please.
Answer:
30 degrees.
Step-by-step explanation:
Rotational symmetry is defined as a figure having the same appearance when rotated by a certain angle.
The wheel has 12 "handles." We can use these as reference points when rotating the image.
We also know that we can rotate by a total of 360 degrees. We can say that:
360/12 = 30 degrees.
Each time you rotate the wheel by 30 degrees, the image will end up on another handle (looks the same). This shows rotational symmetry.
I hope this helps!
On a coordinate plane, a triangle has points R (negative 3, 4), T (negative 1, negative 4), and S (negative 4, negative 2). What are the coordinates of the image of vertex R after a reflection across the y-axis? (–4, 3) (4, –3) (–3, –4) (3, 4)
Answer:
(3,4)
Step-by-step explanation:
if the original is (-3,4) and its a reflection over a vertical line that's the y-axis, the x would become opposite, which would mean -3 becoming 3.
Given the coordinate of vertex R(-3, 4). If reflected over the y-axis, the resulting coordinate will be (3, 4)
Images that are reflected are mirror images of each other. The coordinate (x, y) reflected over the y-axis will have the resulting coordinate at (-x, y).
Note that reflecting over the y-axis negates the x-coordinate point while the y-coordinate stays the same.
Given the coordinate of vertex R(-3, 4). If reflected over the y-axis, the resulting coordinate will be (3, 4)
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You inherited land that was purchased for $30,000 in 1960. The value of the land increases by approximately 5% per year. What will be the approximate value of the land 61 years later in 2021? * 1 point
Answer:
$121,500
Step-by-step explanation:
If the value increases by 5% every year, then in 61 years it will increase by
5% * 61 years = 305%
301% of %30,000 is $91,500
$(30,000 + 91,500)
= $121,500