Answer:
255cm²
Explanation:
To find the area of the triangle we must us a formula which is base x height ÷ 2 divide. So on the left side it is 17 cm and on the right without the triangle it is 10 so the triangle is 7cm tall. Next on the bottom without the triangle it is 22 and with it is 12 so the base is 10 now we multiply them which will be 70 then divide it by 2 which is 35cm².
And dont forget the squared!!
The graph of an exponential function is shown. Based on this graph, which statement about the function is true? A) The range is the set of all real numbers less than –3. B) The domain is the set of all real numbers less than –3. C) The range is the set of all real numbers greater than –4. D) The domain is the set of all real numbers greater than –4.
Answer:
C) The range is the set of all real numbers greater than –4.
Step-by-step explanation:
Domain
x > -3Range
y > -4The correct statement is C, which states : the range is the set of all real numbers greater than -4.
A survey of students at an elementary school was taken
It was determined that 3/8 of the students identified blue as their favorite color.
Of this group. 1/5 of them wore glasses
If there are 33 students who wear glasses that identiñed blue as their favorite color, how many students are there in the school?
Using proportions, it is found that there are 165 students in the school.
What is a proportion?A proportion is a fraction of a total amount.
In the school, there are n students. Of those 1/5 of 3/8, that is, 3/15 wear glasses and identified blue as their favorite color. This amount is equivalent to 33 students, hence:
3/15n = 33
n = 33 x 15/3
n = 11 x 15
n = 165.
There are 165 students in the school.
More can be learned about proportions at https://brainly.com/question/24372153
Pepe is putting up a fence in his backyard to enclose a garden in form of a triangle. The garden
already has sides enclosed with eight feet and five feet of fence, respectively. What can you say
about the length of the third side?
A
The side needs a fence that is shorter than 8 ft. but not necessarily longer than 5 ft.
The side needs a fence that is longer than 3 ft. and shorter than 13 ft.
C
The side needs exactly 8 ft. of fence.
The side needs exactly 11 ft. of fence.
D
Answer:
We know that in a triangle, given two sides, the third one must be smaller than the sum of the given sides, but greater than their difference:
z < x + y
z > x - y
Therefore, the length of the third side will be between the difference and the sum of the other two sides. In our case:
x + y = 13
x - y = 3
Hence, the correct answer is: B) The side needs a fence that is longer than 3ft. and shorter than 13ft.
Step-by-step explanation:
NO LINKS!!!
Please assist with these geometry problems
Answer:
5. ∠TSR ≅ ∠TRS = 72°
6. ∠ORS ≅ ∠OSR = 18°
7. ∠ROS = 144°
Step-by-step explanation:
Segments OT and SR can be drawn to divide the figure into similar right triangles. In these triangles, all of the smaller acute angles are congruent, and all of the larger acute angles are congruent. The smaller and larger acute angles are complementary, as they are in any right triangle.
Segment OT bisects angle T, so the smaller acute angle in each right triangle is 36°/2 = 18°.
__
5.∠TSR ≅ ∠TRS = 90° -18° = 72°
__
6.∠ORS ≅ ∠OSR = 18°
__
7.∠ROS = 2×∠TOS = 2×72° = 144°
Note that this is supplementary to ∠T: ∠O = 180° -36° = 144°.
Does the ordered pair (2,1) satisfy the following system of equations?
To determine the whether the ordered pair satisfies the equation:
⇒ we must plug in the values
⇒ since coordinates are (x,y) ⇒ (2,1)
⇒ there we must plug 2 into the 'x' position in the equation
⇒ and 1 into the 'y' position in the equation
Let's try the first equation:
[tex]3x-y=5\\3(2)-1=5\\6-1=5\\5=5[/tex]
Ordered pair satisfies first equationLet's try the second equation
[tex]5x-2y=8\\5(2)-2(1)=8\\10-2=8\\8=8[/tex]
Ordered pair satisfies second equationThus ordered pair satisfies the following system of equations
Answer: Yes
Hope that helps!
OLZ HELP ILL MARK AS BRAINLEST
find the slope
Answer:
2/3
Step-by-step explanation:
slope formula : ( y2 - y1 ) / ( x2 - x1 ) where the x and y values are derived from points on the line
the two points can vary but i have chosen (0,0) and (3,2)
(x1,y1) = (0,0) so x1 = 0 and y1 = 0
(x2,y2) = (3,2) so x2 = 3 and y2 = 2
recall that slope = ( y2 - y1 ) / ( x2 - x1 )
plug in x1 = 0, y1 = 0, x2 = 2 and y2 = 3
slope = ( 2 - 0 ) / ( 3 - 0 )
slope = 2 / 3
Please help!!!!
[tex](\pi \sqrt 81 \frac{\sqrt[3]{8}}{2} ) / 3\pi = ???[/tex]
Step-by-step explanation:
[tex](9\pi \frac{2}{2} )\div 3\pi \\ [/tex]
[tex] \frac{9\pi}{3\pi} \\ [/tex]
[tex]3\pi[/tex]
3π is the answer
Find the circumference and the area of a circle with radius .
Use the value for , and do not round your answers. Be sure to include the correct units in your answers.
Answer:
the answer is in the picture
13-28 Sketch the region enclosed by the given curves and find its area.
21. [tex]y=\cos x, \quad y=1-2 x / \pi[/tex]
Answer:
Area (A) 0.0682
Step-by-step explanation:
The sketch for the region enclosed by the given curves can be found in the image attached below.
From the image below;
The two curves intersect in the area of tan 9x = 2 sin 9x
Recall that:
making x the subject; then:
The subdivision of the domain is in two intervals
where;
Area (A) =
Area (A) = 0.06818
Area (A) 0.0682
Alex has two designs to build a chest. In each design, the chest is a rectangular prism.
Chest A has dimensions of 5 feet ×3 feet ×214 feet
5
feet
×
3
feet
×
2
1
4
feet
.
Chest B has dimensions of 4 feet ×312 feet ×3 feet
4
feet
×
3
1
2
feet
×
3
feet
.
Part A
How much space does each chest hold? Include units in your answers.
We need volumes
#Chest A
V=LBH
5(3)(214)3210ft³#Chest B
V:-
4(312)(3)3744ft³Answer:
See below ~
Step-by-step explanation:
Chest A
V = 5 x 3 x 214V = 1070 x 3V = 3,210 ft³Chest B
V = 4 x 3 x 312 V = 1248 x 3V = 3,744 ft³⇒ Chest B has more space than Chest A
⇒ Hope it helps ~
What is the prime factorization of 60?
Answer:
2*2*3*5
Step-by-step explanation:
Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.
If A = -n + 5n^2 +9 and B = 3 - n, find an expression that equals 2A - 3B
in standard form.
Answer:
10n² + 3n + 7
Step-by-step explanation:
2A - 3B = 2.( -1 + 5n² + 9) - 3.(3 - n)
= -2 + 10n² + 18 - (9 - 3n)
= 10n² + 16 -9 + 3n
= 10n² + 3n +7
Assume that a postal code consists of 6 characters. Each character can be any letter from A to Z or any numeral from 0 to 9. How many postal codes are possible in this situation?
Answer:
[tex]36^6[/tex] postcodes
Step-by-step explanation:
Think of the post code as a combination lock
[?] [?] [?] [?] [?] [?]
If letters a numbers are allowed, each character can be A-Z and 0-9.
There are 26 letters, and 10 different digits
26 + 10 = 36 characters
Each block (I illustrated above) can be any of the 36 characters
If you have 2 blocks, you have a combination of
36 x 36 characters — which is the same as [tex]36^2[/tex]
With 3 blocks: [tex]36^3[/tex]
and so forth...
If your post code is made of 6 'blocks' it can be any combination of
[tex]36^6[/tex]
Solve, using the correct order of
operations, when x = 7 and y = 3
(x – 3) + 2y
Answer:
10
Step-by-step explanation:
Since it given that:
x = 7 and y = 3
We can substitute x and y:
(7-3) + 2(3)
7 - 3 = 4
4 + 2(3)
2(3) = 6
4 + 6 =10
Thus the answer is 10.
[RevyBreeze]
Answer:
[tex]10[/tex]
Step-by-step explanation:
Sorry for messing it up last time. The format can be really weird
Step 1: Input x and y and solve
[tex](x - 3) + 2y[/tex]
[tex](7 - 3) + 2 * 3[/tex]
[tex]4 + 6[/tex]
[tex]10[/tex]
Answer: [tex]10[/tex]
One thing ONLY reptiles have
Answer:
Reptile, any member of the class Reptilia, the group of air-breathing vertebrates that only have:
internal fertilization amniotic developmentepidermal scales covering part or all of their bodythey have backbonescold-bloodedthey can produce shelled eggs or bear live youngfertilize eggs internallyhave at least one lungZach has an apple tree in his yard. On Monday, he picked 12 apples and gave 4 of them to his neighbor. On Tuesday, he picked 18 more apples and gave 6 to his cousin. On Wednesday, he
picked 14 more and gave 20 apples to his mother. How many apples does Zach have left?
Answer:
Zach has 14 apples left.
Step-by-step explanation:
This equation is 12 - 4 + 18 - 6 + 14 - 20.
8 + 12 + 14 - 20
20 + 14 - 20
14
what is 74 divided by 27
Answer:
2.740 repeated sign over 740 (just a line)
Step-by-step explanation:
divide on sheet paper
A triangle has sides with lengths of 15 meters, 36 meters, and 39 meters. Is it a right triangle?
Answer:
no it is not
Step-by-step explanation:
No. Because right angled triangles all sides are equal.
Determine the whole number of standard deviations that includes all data values. The mean price of the nonfiction books on a best-sellers list is $ 22.58 ; the standard deviation is $ 3.00 .
$ 22.95, $ 18.00, $ 21.00, $ 21.00, $ 22.00, $ 25.00, $ 29.95, $ 22.00, $ 22.95, $ 20.95
All of the values fall within____standard deviation(s) of the mean.
Using z-scores, it is found that all of the values fall within 2.46 standard deviations of the mean.
What is the z-score formula?The z-score of a measure X of a variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean.
In this problem, the farthest variable from the mean is of $29.95, hence X = 29.95 and:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29.95 - 22.58}{3}[/tex]
Z = 2.46.
Hence, all of the values fall within 2.46 standard deviations of the mean.
More can be learned about z-scores at https://brainly.com/question/24663213
Which shape has the greatest volume
Hey mate ,
In this particular question we have to find the volume of given objects and compare to find which has the greatest volume.
Lets Solve ,
Cone =Volume of cone :- 1/3πr²h
putting the known values ,
Volume = 1/3×3.14×5²×7 cubic ft.
Volume :- 183.1 cubic ft.
SphereVolume of Sphere = 4/3πr³
putting the known values ,
Volume = 4/3×3.14×5³ cubic ft.
Volume = 523.33 cubic ft.
CylinderVolume of Cylinder = πr²h
putting the known values ,
Volume = 3.14×5²×7 cubic ft.
Volume = 549.5 cubic ft.
HemisphereVolume of hemisphere = 2/3πr³
Putting the known values ,
Volume = 2/3×3.14×5³ cubic ft
Volume = 261.66 cubic ft.
Comparing the volume of each object , we can find that the Cylinder has the greatest volume
The sum of two numbers is 144 and their difference is 73. Find the smallest number. Use two exact decimals.
Answer:
30.5
Step-by-step explanation:
Let L = the larger number
Let S = the smaller number
L + S = 144
L - S = 73
L = S + 73
S + S + 73 = 144
2S = 71
S = 30.5
A triangle has the dimensions shown. The area of the triangle is..
A) A=6x^2
B) A=7x^2
C) A=12x^2
D) A=7/2 x^2
Answer: A
Step-by-step explanation:
NO LINKS!! Please help me
GHIJK ≅ UVWST
===============
Given for 1st shape:
GK = 16KJ = 16IJ = 24IH = 16GH = 24Given for 2nd shape:
WS = 18===================
WS ≅ IJ
Solve for UV:
[tex]\rightarrow \sf \dfrac{UV}{WS} =\dfrac{GH}{IJ}[/tex]
[tex]\rightarrow \sf \dfrac{UV}{18} =\dfrac{24}{24}[/tex]
[tex]\rightarrow \sf UV =18[/tex]
Solve for ST
[tex]\rightarrow \sf \dfrac{ST}{WS} =\dfrac{JK}{IJ}[/tex]
[tex]\rightarrow \sf \dfrac{ST}{18} =\dfrac{16}{24}[/tex]
[tex]\rightarrow \sf ST = 12[/tex]
Solve for VW
[tex]\sf \rightarrow \dfrac{VW}{WS} = \dfrac{HI}{IJ}[/tex]
[tex]\sf \rightarrow \dfrac{VW}{18} = \dfrac{16}{24}[/tex]
[tex]\sf \rightarrow VW = 12[/tex]
Let's see
WS/UV=GH/IJ18/UV=24/2418/UV=1UV=18#ST
WS/ST=IJ/JK18/ST=24/1618/ST=3/23ST=36ST=12#VW
WS/VW=IJ/IH18/VW=24/16VW=1215 Which expression is equivalent to 4(u + 3)?
A 40 + 3
© 40 + 12u
B 40 + 7
D 4u + 12
D, sorry if wrong!!
have a good day
Answer:
D. 4u + 12
Step-by-step explanation:
Distributing the 4 to each term in the parenthesis:
4(u) + 4(3)
= 4u + 12
hope this helps :)
Nyasha’s financial literacy project involved comparing the annual sales
The value of the statistic for the annual sales in Canadian dollars; C) The standardized score of the minimum annual sales
What is standardized scores?
Standardized scores are defined as scores or data values that have been given a common standard. This standard is a mean of zero and a standard deviation of 1.
Now, in this question the literacy project involved comparing the annual sales of companies. Thus, the value of the statistic for the annual sales in Canadian dollars be equal to the value of the corresponding statistic in United States dollars is the standardized score of the minimum annual sales.
The complete question is; Nyasha's financial literacy project involved comparing the annual sales of companies in Canada and companies in the US that produce software. Using the ratio of 1 CAD to 0.75 USD, she converted all annual sales from the Canadian companies into United States dollars. For which of the following will the value of the statistic for the annual sales in Canadian dollars be equal to the value of the corresponding statistic in United States dollars?
Read more about Standardized Scores at; https://brainly.com/question/4079902
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please answer this question
Let p(t) be the number attendees and t be the ticket price measured in units of 10s of rupees. When the price is t = 7 (i.e. Rs70), there were p(7) = 300 people in attendance.
For each unit increase in t (i.e. for each Rs10 increase in price), p(t) is expected to fall by 20, so that
p(t + 1) = p(t) - 20
Solve for p(t). Suppose t ≥ 7. By substitution,
p(t + 1) = (p(t - 1) - 20) - 20 = p(t - 1) - 2×20
p(t + 1) = (p(t - 2) - 20) - 2×20 = p(t - 2) - 3×20
p(t + 1) = (p(t - 3) - 20) - 3×20 = p(t - 3) - 4×20
and so on, down to
p(t + 1) = p(7) - (t - 6)×20 = 420 - 20t
or
p(t) = 420 - 20 (t - 1) = 440 - 20t
With t = price per ticket (Rs/ticket) and p(t) = number of attendees = number of tickets sold, it follows that the income made from ticket sales for some fixed ticket price t would be t×p(t). If one plots p(t) in the coordinate plane, the price that maximizes income and number of attendees is such that the area of a rectangle inscribed by the line p(t) and the coordinate axes is maximized.
Let A(t) be the area of this rectangle, so
A(t) = t p(t) = 440t - 20t²
Without using calculus, complete the square:
A(t) = 440t - 20t² = 2420 - 20 (t - 11)²
This is the equation of a parabola with vertex at (11, 2420), so the optiml ticket price is Rs11, and at this price the drama club can expect an income of Rs2420.
With calculus, differentiate A with respect to t and find the critical points:
A'(t) = 440 - 40t = 0 ⇒ 11 - t = 0 ⇒ t = 11
Differentiate A again and check the sign of the second derivative at this critical point:
A''(t) = -40 ⇒ A''(11) = -40 < 0
which indicates a local maximum at t = 11 of A(11) = 2420.
You have 68 feet of fencing to enclose a rectangular plot that borders on a river. If you DO NOT fence the side
along the river, find the dimensions of the plot that will maximize the area.
Answer:
168 = L + 2W
And you want to maximize LW.
Which means you want to maximize W (168 - 2W), or 168W - 2W^2.
To maximize that, the derivative must go to zero.
0 = 168 - 4W, or W = 42. And L = 84. Done. :-)
Step-by-step explanation:
Box A has a volume of 64 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were divided by 2. What is the volume of Box B? 128 m3 8 m3 32 m3 16 m3
The final statement is: The volume of box be is equal to 8 m³
What is a volume in math?Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given here: Volume of Box A= 64 m³
Let the dimensions of box be a each
Then we have dimensions of box b are a/2 each
Therefore volume of box b is = a/2×a/2×a/2
=a³/8
= 64/8
=8
Hence, The volume of box be is equal to 8 m³
Learn more about volume here:
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• 2) During a recent survey of 10,000 students at college: 6854 have a laptop, 3476 have a tablet, and 2163 have both a laptop and a tablet.
1: how many students do not have a tablet?
2: how many students have a mobile computing device (laptop or tablet)?
Answer:
6854 do not have a tablet
2163 have a mobile computing device
Step-by-step explanation:
You just have to read it.
Find the area and the circumference of a circle with radius .
Use the value for , and do not round your answers. Be sure to include the correct units in your answers.
Area:
Circumference: