Work out the area of this shape. Give your answer
in cm².
4 cm
4 cm
10 cm
Answer:
48cm^2
Step-by-step explanation:
Rectangle=LxW
Triangle=bh/2
Rectangle: 10x4=40cm^2
Triangle: 4x4=16/2=8cm^2
40+8=48cm^2
Hope this helps :)
A rectangle frame needs to be constructed so that its width and length are in a ratio of 3:4 and its diagonal is 25 inches. What is the perimeter of the frame?
Answer:
70 inches
Step-by-step explanation:
From the diagram attached,
Assuming the width, lenght and diagonal of the rectangle forms a right angle triangle.
Applying pythagoras theorem,
a² = b²+c²................... Equation 1
Where a = diagonal = 25 inches, b = width = 3x inches, c = length = 4x inches
Substitute these values into equation 1 and solve for x
25² = (4x)²+(3x)²
625 = 14x²+9x²
625 = 25x²
25x² = 625
x² = 625/25
x² = 25
x = √25
x = 5 inches.
Therefore,
Width(w) = 3×5 = 15 inches
Length(l) = 4×5 = 20 inches
Perimeter (P) = 2(l+b)
P = 2(15+20)
P = 2(35)
P = 70 inches
Hence the perimeter of the frame is 70 inches
16 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold?
How many quarts of soil are used to fill 3 flower pots?
9.6 quarts
First, find the unit rate, which is that when you divide 16 and 5 and you will get 3.2, then you multiply it with 3 for the 3 flower pots, and that's how you end up with the answer
In a circle with radius 5.1, an angle intercepts an arc of length 30.3. Find the angle in
radians to the nearest 10th.
Answer:
5.9 radian
Step-by-step explanation:
Applying,
S = 2πrФ/360°................. Equation 1
Where s = length of the arc, r = radius, Ф = angle.
make Ф the subject of the equation
Ф = 360S/(2πr)........... Equation 2
From the question,
Given: S = 30.3, r = 5.1
Constant: π = 3.14
Substitute into equation 2
Ф = (360×30.3)/(2×5.1×3.14)
Ф = 340.58°
Ф = (340.58×2×3.14)/360
Ф = 5.9 radian
Find the Average Rate of Change of the table below for the interval 2 < x < 5
The AROC is 3 for the interval 2 < x < 5, which is the correct answer that would be option (A).
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The table is given in the question as follows:
x y
0 -2
1 -3
2 0
3 3
4 6
5 9
We have to determine the Average Rate of Change in the table below for the interval 2 < x < 5
As per the given table, the required AROC would be as:
⇒ (9 - 3)/(5-3)
⇒ 6/2
Apply the division operation, and we get
⇒ 3
Hence, the correct answer would be option (A).
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What properties does the shape below have? Why is it not a parallelogram?
Answer:
Parallelograms have two symmetries but this kite had only one symmetry
Define symmetry-The symmetry that a figure has if it can be divided by a line into two parts that are mirror images.
Observe my example why its not a parallelogram...
Hope this helps plz like and brainly :D
Much would be appreciated <3
How do you write 5 more than a number?
x+5 is the way we can write 5 more than a number.
In a formula or equation involving mathematical operations, the representation of numbers by alphabet is referred to as algebra.
Using the knowledge provided above, we must translate the mathematical statement provided in the question into an algebraic expression. Let's say that number is "x". The result of adding 5 to the provided number is a number that is 5 greater than this number. Thus, a number that is 5 more than x is equal to x+5. As a result, "5 more than a number" is represented by the algebraic expression "x+5".
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1. The population average fuel efficiency of U.S. light vehicles for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and the gas ratings were normally distributed, what is the probability that the mean for a random sample of 25 light vehicles is under 20 mpg
The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
z = (x-μ)/σ/n, where
x is the raw score = 20 mpg
μ is the population mean = 21 mpg
σ is the population standard deviation = 2.9
n = random number of samples [tex]x < 20[/tex]
[tex]= z = 20 - 21/2.9/\sqrt{25} \\= z = -1/2.9/5\\= z = -1.72414\\[/tex]
P-value from Z-Table:
[tex]P(x < 20) = 0.042341[/tex]
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Please help I will give 15 points
Answer:
THE FIRST ONE
Step-by-step explanation:
please help me!!10points
Answer:
167 feet
Step-by-step explanation:
Please see the attached image.
(90-42)°=48°
The tangent of an angle is the opposite side relative to that angle divided by the adjacent side.
tan(48°)=x/150
x=tan(48°)*150
x≈167
Answer: 167 feet
80 board game is on sale for 20 percent off
How much is the board game?
Answer:
the answer is 64 dollars or pounds or whichever currency
Answer:
The bord game is 64$.
Step-by-step explanation:
80/10=8
8*(8-2)=
64$
Jak starts to save at age 40 for a vacation home that he wants to buy for his 50th birthday. He will contribute $1000 each quarter to an account, which earns 2.1% interest, compounded annually. What is the future value of the investment, rounded to the nearest dollar, when jak is ready to purchase the vacation home?
Answer:
[tex]P=\$40840[/tex]
Step-by-step explanation:[tex]I=840[/tex]
From the question we are told that:
Time interval [tex]t=50-40=>10years[/tex]
Annual contribution [tex]X= 4*1000=>\$4000[/tex]
Annual interest rate [tex]r=2.1\%[/tex]
Generally the 10 years interest I is mathematically given by
[tex]I=X*t*r[/tex]
[tex]I=4000*0.021*10[/tex]
[tex]I=840[/tex]
Generally the equation for the future value of the investment [tex]P[/tex] is mathematically given by
[tex]P=X*t+840[/tex]
[tex]P=(4000*10)+840[/tex]
[tex]P=\$40840[/tex]
hello please help i’ll give brainliest
Answer:
ocean crust is thinner
Step-by-step explanation:
Answer:
Oceanic crust is thinner
hope this helped
Step-by-step explanation:
How do i convert £10 to dollar? and what calculation do i ue
(it' on exchange rate)
We convert 10 pounds to Dollars and get 12.2 United states Dollars.
What does currency convert and exchange rate?Exchange rate is the rate at which one currency can be exchanged to another currency. The rate represents the relative value of one currency against the currency from another country. Currency conversion means convert one currency to another at an exchange rate.
How do we convert 10-pound sterling to dollar?We can convert pound to dollar by using currency exchange rate determined by the world market. The exchange rate is vary depending on the current situation of two country in which currency is converted between. The rate may be differed from one day to another.
1 pound sterling = 1.22 United States Dollar
10-pound sterling = 12.2 US Dollars
1 pound sterling = 1.76 Australian Dollar
10-pound sterling = 17.6 Australian Dollars
1 pound sterling = 1.64 Canadian Dollar
10-pound sterling = 16.4 Canadian Dollars
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What is dual expression?
The Dual of Boolean Expression is defined as an expression that is obtained by interchanging the addition and multiplication and interchanging the 0's and 1's .
What is a Boolean Expression ?
The Boolean Expression is defined as an logical statement which results in the Boolean value which can either be True or False.
Sometimes, the synonyms is used to express statement such as ‘Yes’ for ‘True’ and ‘No’ for ‘False’. and also, 1 and 0 are used for digital circuits for True , False .
If in the Boolean expression , the addition and multiplication are interchanged and the binary 0 and 1 are also interchanged then the resulting expression will be called as a Dual Of Boolean Expression .
The given question is incomplete , the complete question is
What is Dual Boolean Expression ?
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Can anyone help explain this math equation like I gotta turn this math in by midnight tonight!! I will give brainlist btw!!
Answer: 1) 288 inch^3
2) 960 inch^3
3) 188 cm^3
4) 44 inch^3
5) 396 ft^3
6) 552 inch^3
Step-by-step explanation:
1) (2*3)(3*2)(2*4)=288 inch^3
2) (4*5)(4*3)(4*1)=960 inch^3
3) 4*4*8+3*4*5=188 cm^3
4) 2*2*8+2*6*1=44 in^3
5) 4*6*6+6*6*7=396 ft^3
6) 8*6*10+4*3*6=552 in^3
Find the value of x.
x+16
9
Answer:
x = - 7
Step-by-step explanation:
given that the 3 angles in the triangle are congruent, then the triangle is equilateral with the 3 sides congruent , then
x + 16 = 9 ( subtract 16 from both sides )
x = - 7
Answer:
x=-7
Step-by-step explanation:
The triangles sides are all the same in length, therefore, you need all the sides to be equal to 9.
-12+16=4 This addition problem does not equal to 9 so it is not correct.
-7+16=9 This is correct because -7+16 or 16-7 = 9.
-9+16=7 This addition problem does not equal to 9 so it is not correct.
-11+16=5 This addition problem does not equal to 9 so it is not correct.
So, x = -7.
Jaylen has a fun-size bag SweetTarts. Inside the bag are 4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTarts. What is the probability of drawing a yellow SweetTart three time in a row if each SweetTart selected is eaten before the next SweetTart is drawn?
The probability of picking a yellow sweet tart three times in a row is 0
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here, There are 4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTarts. P(yellow ball three times in a row) = 2/12 ×1/11 ×0/10
= 0
Hence, The probability of picking a yellow sweet tart three times in a row is 0
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The integral 1 π(y2−y4) dy 0 represents the volume of a solid. Describe the solid.
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the y axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis
The correct option is (d). The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis
The difference between the areas beneath the two curves that form a boundary is the area between the curves. You will then have the area between the two curves, or the difference, between them.
In the cartesian coordinate system, a plane is divided into four areas by the X-axis, a horizontal line, and the Y-axis, a vertical line. The term "quadrant" refers to these four areas.Use washer method:The washer method enables us to use cylindrical discs with holes to compute the volume of solids in a rotation.
As we have mentioned, the washer method is an extension of the disk method. This technique is established so that we can also calculate for the volume of the solid returned by rotating the region bounded by two curves over the x and y axis.[tex]$$\begin{aligned}& V=\int_a^b \pi\left(x_1^2-x_2^2\right) d y \\& =\int_0^1 \pi\left(y^2-\left(y^2\right)^2\right) d y \\& =\int_0^1 \pi\left(y^2-y^4\right) d y\end{aligned}$$[/tex]
Therefore, the solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y² around the y axis.
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Q4 ABC is an isosceles triangle with AB=AC and AD is one of its altitudes. i) State the three pairs of equal pairs in ADB and ADC.
ii) Is ADB = ADC? Why or why not?
iii) Is B=C? Why or why not?
iv) Is BD=CD? Why or why not?
Answer:
d
Step-by-step explanation:
Find the missing side lengths. Leave your answers as radicals is simplest form.
helppp PLEASEE !!! lol
Answer:
3.14 x 3.8^2 = 45.3416
* find the surface area
hope this helped
Step-by-step explanation:
Answer:
if your going by 3 as pie you would do this:
Step-by-step explanation:
3*3.8*3.8=43.32
Rewrite the radical by extracting all possible roots and write your answer in radical form 75x4y7−−−−−−√
Answer:
[tex]\sqrt{75x^4y^7} = 5x^2y^3\sqrt{3y}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{75x^4y^7[/tex]
Required
Rewrite
Express 75 as 25 * 3
[tex]\sqrt{75x^4y^7} = \sqrt{25 * 3x^4y^7}[/tex]
Split
[tex]\sqrt{75x^4y^7} = \sqrt{25} * \sqrt{3x^4y^7}[/tex]
This gives:
[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3x^4y^7}[/tex]
Express y^7 as y^6 * y
[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3*x^4 * y^6 * y}[/tex]
Split
[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3} *\sqrt{x^4} * \sqrt{y^6} * \sqrt{y}[/tex]
Express square roots as exponents
[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3} * x^{(4 * \frac{1}{2})} * y^{(6* \frac{1}{2})} * \sqrt{y}[/tex]
[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3} * x^2 * y^3 * \sqrt{y}[/tex]
Rewrite the factors
[tex]\sqrt{75x^4y^7} = 5 * x^2 * y^3* \sqrt{3} * \sqrt{y}[/tex]
[tex]\sqrt{75x^4y^7} = 5x^2y^3* \sqrt{3} * \sqrt{y}[/tex]
Combine roots
[tex]\sqrt{75x^4y^7} = 5x^2y^3* \sqrt{3y}[/tex]
[tex]\sqrt{75x^4y^7} = 5x^2y^3\sqrt{3y}[/tex]
Find the distance between point k and point L.
The distance between points L and K is 4 units.
What is the distance formula between two points?The distance formula between two points (x₁, y₁) and (x₂, y₂) is gien by,
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
Given, Are two points L and K.
The coordinate points of L(- 2, 6) and K(- 2, 2).
Therefore, The distance between points L and K is,
[tex]|LK| = \sqrt{(- 2 + 2)^2 + (2 - 6)^2}[/tex].
[tex]|LK| = \sqrt{16}[/tex].
[tex]|LK| = 4[/tex].
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What do () mean in math?
Parentheses are employed to indicate changes to the usual order of operations.
Define round brackets.The well-known () symbols, often known as "round brackets," are used in pairs to group things together or designate the order of operations in an equation. You will frequently need to employ brackets in math when forming or resolving equations. They support number grouping and operation definition.
Mention other brackets as well.{}, [] are other type of brackets.
In mathematical expressions, parentheses are employed to indicate changes to the usual order of operations (precedence rules). In an expression like, the portion of the expression enclosed in parentheses,, is first assessed, and the outcome is then incorporated into the remaining portions of the expression.
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The absolute value function graphed below can also be represented by a piecewise function.
Determine which function is represented by the graph.
please help!!!
Answer:
Step-by-step explanation:
Trust me
Please help me with this homework question. No silly answers please and no bots, links, etc! I will mark brainliest to whoever gets this right. Thank you!
Answer:
T = (m × 20) + 25
(2.5 × 20) + 25 = 75
75 minutes
110 - 25 = 85
85 ÷ 20 = 4.25
4.25 kilograms
Determine the missing angle measure.
Answer:
Step-by-step explanation:
Since you already know that one of the angles is 21 degrees, this helps you A LOT. In total the line is 180 degrees so to find x you just do 180-21 which equals 159
x+ 159 degrees
Convert one three fifths to a percent find that percent of 30 Divide your answer by 25% of 16
Answer:
40%
Step-by-step explanation:
1 and 3/5 as a fraction is 8/5 which as a percent is 160%.
25% of 16 is 4
160%/4 = 40%
find the area of the shaded regions below. give your answer as a completely simplified exact value in terms of π (no approximations)
Answer:
Step-by-step explanation:
the area of the hemisphere is 1/2 [tex]\pi[/tex][tex]r^{2}[/tex]
the radius is 1/2 the diameter,
the diameter is also the hypotenuse of the isosceles triangle
[tex]d^{2}[/tex] = [tex]4^{2}[/tex]+[tex]4^{2}[/tex]
[tex]d^{2}[/tex] = 32
d =[tex]\sqrt{32}[/tex]
r = 1/2[tex]\sqrt{32}[/tex]
1/2[tex]\pi[/tex](1/2[tex]\sqrt{32}[/tex])^2
1/2[tex]\pi[/tex](1/4*32)
(32/8 )*[tex]\pi[/tex]
4[tex]\pi[/tex] ( the entire upper hemisphere )
area of the triangle is 1/2* 4 *4 = 8
then the exact area of the parts of the circle would be
4[tex]\pi[/tex] - 8