Answer:
Roughly 2,000 times
Step-by-step explanation:
47 x 43 = 2,021
Thank You
Course Activity: Sides and Angles of Congruent Triangles Part C Measure the lengths of the sides of ∆ABC and its three images and record the measurements in the table.
Answer
Step-by-step explanation:
If angle ACB is congruent, and angle BAC=3x-10, angle ECD=45 and angle EDC=2x+10 what is x?
Answer:
x=20
Step-by-step explanation:
Since BAC and EDC are the same (ACB and DCE are congruent), 2x+10=3x-10, x=20
a notebook and a pen together cost 11$. if the notebook costs 10 more than the pen, how much does the pen cost
Answer:
$1
Step-by-step explanation:
I assume by 10, you mean 10 dollars so you do $11 - $10 to get your answer of $1. The pen costs $1.
Hope it helps c:
The pen and the notebook together cost 11 dollars and the pen itself cost 0.5 dollars.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A notebook and a pen together cost 11$.
The notebook costs 10 more than the pen.
Assuming the pen costs x dollars then the notebooks costs (x + 10) dollars.
∴ x + x + 10 = 11.
2x = 1.
x = 1/2.
So, the cost of the pen is 0.5 dollars and the cost of the notebook is 10.5 dollars.
learn more about numerical expressions here :
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Suppose y varies directly as the cube of x, and y = 24 when x = 2. Find y when x = 4.
Answer:
so y = 48 when x = 4
Step-by-step explanation:
if y = 24, x = 2
or, if x = 2, y = 24
so, if x = 1, y = 24/2
so, if x =1, y = 12
then if x = 4, y = 12×4 = 48
The required simplified value of the y at x = 4 is given as y = 192.
Given that,
y varies directly as the cube of x, and y = 24 when x = 2.
To determine y at x = 4.
Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
here,
According to the question,
y ∝ x³
From the above property,
y₁/y₂ = [x₁ / x₂]³
Substitute the value in the equation,
24/y₂ = [2/4]³
y₂ = 64/8 × 24
y₂ = 192
Thus, the required simplified value of the y at x = 4 is given as y = 192.
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Plz help me find sides M and N round to the nearest tenth
Answer:
44
Step-by-step explanation:
gradpoint
14) The height, h metres, of a ball projected directly upwards from the ground can be modelled by h = 56t - 71, where t is the time in seconds after it leaves the ground. a) Find the height of the ball 3.5 seconds after it leaves the ground. b) At what time will the ball strike the ground again? c) When will the ball be 49 m above the ground? Briefly explain why there are two possible answers.
Help please :c
What is the probability that a randomly selected student from your group is a 9th grader?
What is the probability that a randomly selected student from your group prefers comedy?
What is the probability that a randomly selected student does not prefer action?
What is the probability that a student prefers comedy, given that the student is in the 10th grade?
What is the probability that a student does not prefer action, given that the student is in 9th grade?
Answer:
1/4
3/8
5/8
2/5
Step-by-step explanation:
From the table :
1.)
P(9th grade) = (9th grade total / total) = 4 / 16 = 1/4
2.)
P(comedy) = (comedy total / total) = 6 / 16 = 3/8
3.)
P(not action) = 1 - P(action) = 1 - (action total / total) = (1 - 6/16) = 1 - 3/8 = 5/8
4.)
P(comefy | 10th grade) = P(comedy n 10th grade) / P(10th grade) = 2 / 5
Answer:
The answer is 12
Step-by-step explanation:
To find the distance AB across a river, a distance BC of 415 m is laid off on one side of the river. It is found that B = 112.2° and C = 18.3°. Find AB.
The distance AB across the river is approximately 171.4 meters
The known parameters are;
The distance BC laid off on one side of the river = 415 m
The measure of ∠B = 112.2°
The measure of angle ∠C = 18.3°
The unknown parameter;
The distance AB across the river
Strategy;
Taking the points A, B, and C, being the vertices of the triangle, ΔABC, and apply sine rule to find distance AB;
By the angle sum property, the measure of angle, ∠A = 180° - (∠B + ∠C)
∴ ∠A = 180° - (112.2° + 18.3°) = 49.5°
By sine rule, we get;
[tex]\mathbf{\dfrac{a}{sin (\alpha)} = \dfrac{b}{sin (\beta)} = \dfrac{c}{sin (\gamma)}}[/tex]
Therefore;
[tex]\mathbf {a = sin (\alpha) \times \dfrac{b}{sin (\beta)}}[/tex]
Plugging in α = AB, [tex]\alpha[/tex] = ∠C = 18.3°, b = BC = 415, β = ∠A = 49.5°, we get;
[tex]AB = sin (18.3 ^{\circ}) \times \dfrac{415}{sin (49.5^{\circ})} \approx 171.4[/tex]
The distance across the river, AB ≈ 171.4 m
Learn more about sine rule here;
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A student writes
2
pages of a report in
2
an hour. What is her unit
rate in pages per hour?
Answer:
1 page of a report per hour
Step-by-step explanation:
2/2= 1 page per hour
Lets find unit rate
[tex]\\ \sf\longmapsto \dfrac{2\dfrac{1}{2}}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{5}{2}\div 2[/tex]
[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]
[tex]\\ \sf\longmapsto 1.2pages/hour[/tex]
PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING
TELL ME WHERE TO PUT EACH POINT
The distance, y, in miles, traveled by a car in a certain amount of time, x, in hours, is shown in the graph below:
A graph titled Motion of Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 14, 28, 42, 56, 70, 84. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 42. The second straight line joins 3,42 and 4,42 and the third straight line joins ordered pair 4,42 with the ordered pair 5,56.
Which of the following best describes the motion of the car shown?
It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.
It travels for 3 hours, then stops for 1 hour, and finally travels again for 1 hour.
It travels for 3 hours, then stops for 4 hours, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 2 hours, and finally travels again for 1 hour.
Answer:
The last choice
Step-by-step explanation:
:)
A line has a slope of -5 and
passes through the point
(0, -7). What is its equation in
slope-intercept form?
Write your answer using integers,
proper fractions, and improper
fractions in simplest form.
In a class there are 400 students. 250 of them studying Mathematics, 150 of them studying English, 100 of them studying Biology, 100 of them studying both Mathematics and English, 60 of them studying both Mathematics and Biology, 40 of them studying both English and Biology, 30 of them studying all Mathematics, English and Biology. Find
a) The number of students who are studying only Mathematics.
b) The number of students who are studying only English.
c) The number of students who are studying only Biology.
d) The number of students who are studying none of Mathematics, English and Biology.
I hope this helps and sorry if it's wrong
A kite is a quadrilateral with two pairs of adjacent, congruent sides. The vertex angles are those angles in between the pairs of congruent sides. Prove the diagonal connecting these vertex angles is perpendicular to the diagonal connecting the non-vertex angles. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.
Please help
Add the following polynomials, then you place the answer in the proper location on the grid. Write your answer in descending powers of x
Answer:
5x³ - 4x + 1
Step-by-step explanation:
1.) 2x³ + 3x³ = 5x³
2.) 4x - 8x = -4x
3.) -6 + 7 = 1
4.) Line them up: 5x³ - 4x + 1
Find the measure of the indicated angle to the nearest degree.
A. 46
B. 76
C. 44
D. 14
Answer:
Answer is B. 76.
Step-by-step explanation:
Let thw unknow angle be y
sin y = p/h
sin y = 32/33
y = sin‐¹(32/33)
y = 75.85888977
so y = 75.9 = 76
Do 8 plz find OS thanks
Answer:
OS = 10
Step-by-step explanation:
We can use a ratio to solve
QP PR
----- = ------
QO OS
14 7
----- = -------
14+6 OS
14 7
----- = -------
20 OS
Using cross products
14 * OS = 7*20
14 OS = 140
Divide by 14
OS = 140/14
OS = 10
The entire graph of the function g is shown in the figure below.
Write the domain and range of g as intervals or unions of intervals.
Step-by-step explanation:
here's the answer to your question
A jar of gumballs contains 4 reds, 2 greens, and 6 blues. What is the probability of getting two blues in a row without replacement?
Select one:
a. 3/4
b. 1/2
c. 5/22
d. 5/11
Answer:
C
Step-by-step explanation:
Hypergeometric distribution
[tex]\frac{{6\choose2}}{{12\choose2}}=\frac{15}{66}= \frac{5}{22}[/tex]
What are the x-intercepts of this quadratic function?
g(x) = -2(x - 4)(x + 1)
Answer:
4 and -1
Step-by-step explanation:
A quadratic function is given to us and we need to find the x Intercepts of the given function . The function is ,
[tex]\bf \implies g(x) = -2( x -4)(x+1)[/tex]
Step 1 : Equate the function with 0,
[tex]\bf \implies -2( x -4)(x+1) = 0 [/tex]
Step 2: Equating with 0 :-
Now equate each factors seperately with 0 , to get the x Intercepts.
Step 3: Finding the intercepts :-
[tex]\bf \implies x - 4 = 0 \\\\\implies\boxed{\bf\blue{ x = 4 }} [/tex]
Again ,
[tex]\bf \implies x + 1 = 0 \\\\\implies\boxed{ \blue{\bf x = -1}} [/tex]
Hence the x intercepts are 4 and -1 .
Answer:D (4,0) and (-1,0)
Step-by-step explanation:
Using the net below, find the surface area
of the rectangular prism.
5 cm
5 cm
2 cm
5 cm
5 cm
2 cm
2 cm
2 cm
Surface Area =
Answer:
Surface area = 90 cm²
Step-by-step explanation:
Given net of the rectangular prism shows the dimensions as,
Length = 5 cm
Width = 5 cm
Height = 2 cm
`Expression for the surface area of a rectangular prism = 2(lb + bh + hl)
Here, l = length
w = width
h = height
By substituting the values in the expression,
Surface area = 2(5×2 + 5×2 + 5×5)
= 2(10 + 10 + 25)
= 90 cm²
Answer:
Step-by-step explanation:
Write 20*19*18*17*16*15 in the form nPr.
Answer:
15*16*17*18*19*20 I thank it is your answer
The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
Answer:
(a) Hence the maximum error in the calculated area of the disk is 32.67[tex]cm^{2}[/tex].
(b) Hence the relative error is 1.54%.
Step-by-step explanation:
Here the given are,
The Radius of the circle r = 26cm.
The maximum error in measurement dr = 0.2 cm.
Answer:
(a) [tex]A =(4245.28\pm32.66) cm^2[/tex]
(b) [tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]
Step-by-step explanation:
radius, r = 26 cm
error = 0.2 cm
(a) The area of the disc is given by
[tex]A = \pi r^2\\\\dA = 2\pi r dr\\\\dA = 2 \times 3.14\times 26\times 0.2= 32.66[/tex]
Now
A = 3.14 x r x r = 3.14 x 26 x 26 = 4245.28 cm^2
So, the area with error is given by
[tex]A =(4245.28\pm32.66) cm^2[/tex]
(b) The relative error is
[tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]
Someone please help me with this question
Step-by-step explanation:
cos=ROQ
Sin=QOP
HOPE THIS HELP
a family has two children. what is the probability that both are girls, given that at least one is a boy
Answer: The probability would be zero
Step-by-step explanation:
There are two children and one is a boy, so the probability of both being girls is a zero
ASAP!!!!!! SHOW WORK!!!! Thank you
Answer:
y = -6Step-by-step explanation:
If the three points are collinear, the slopes of RS and ST are same:
m(RS) = (4 - 8)/(1 + 1) = -4/2 = -2m(ST) = (y - 4)/(6 - 1) = (y - 4)/5Since the sloes are equal we have the following equation:
(y - 4)/5 = -2y - 4 = -10y = -10 + 4y = -6Slopes must be equal
slope of RS
m=4-8/1+1m=-4/2m=-2Now
Slope of ST=-2
y-4/6-1=-2y-4/5=-2y-4=-10y=-10+4y=-6Find x please step by step explanation need it
Answer:
37.3
Step-by-step explanation:
19tan(63) = x = 37.289... = 37.3
Find the total surface area of this pentagon
Answer:
Step-by-step explanation:
2(lb+bh+hl) is the formula for surface area. So,
2(54+81+54) = 2(189) which is 378.
I think the surface area is 378 square inches, or 378 in^2
Will give brainliest answer
Answer:
Step-by-step explanation:
Quadrilateral A'B'C'D' is a reflection of Quadrilateral ABCD over the y-axis What is the length of C'D'
Answer:
C'D' = 4
Step-by-step explanation:
When the figure is reflected, the length of the segments does not change.
CD = 4 so C'D' = 4
Answer:
4 units
Step-by-step explanation:
a reflection is a rigid transformation, meaning that the size and shape of the figure does not change. therefore, the length of C'D' will be the same as the length of CD.
Length of CD: 4 units
so,
C'D'=4units