Answer:
A' = 3A
Step-by-step explanation:
The area of a triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h[/tex]
Where
b is base and h is height
If height is tripled, h' = 3h
New area,
[tex]A'=\dfrac{1}{2}\times b\times h'\\\\=\dfrac{1}{2}\times b\times 3h\\\\=3\times \dfrac{1}{2}\times b\times h\\\\=3A[/tex]
So, the new area becomes 3 times the initial area.
Factor completely. 5x^2-20x+20=5x 2 −20x+20
Step-by-step explanation:
5x^2 - 20x + 20 = 5x^2 - 20x + 20
5(x^2 - 4x + 4) = 5(x^2 - 4x + 4)
(5 + 5) (x^2 - 4x + 4)
Nathan made cookies for Remembrance Day. He made 2 2/3 dozen chocolate cookies, 1
dozen peanut cookies, and 2 1/2 dozen oatmeal cookies. If he puts the same number of each
cookie in each bag and has no cookies left over, what is the largest number of bags he can fill?
If the three lengths form a triangle, then determine if the three lengths form an acute, right, or obtuse triangle. Show your work.
Answer: Acute Triangle.
Step-by-step explanation:
3 square root 15 + 16 + 11 = 38.6189500386 degrees ughhhh why does this exist.
An acute triangle is less than 90 degrees so this an acute triangle.
A map has a scale of 2 centimeters = 4 miles. Mary's drive to work is represented on the map as traveling 1cm north then 2.5 cm west. Which equation could be used to determine how many miles Mary drives to work?
Round to the nearest tenth
1. Find x.
Answer:
x= 25.5 not rounded x=25.51393657
Step-by-step explanation:
Decide what trig ration you need/want to use. The 27 degrees are opposite of the 13 and adjacent to the x which means your ratio should be o/a or 13/x. The trig ratio needed is Tangent. Now you can write the equation as tan(27)=13/x and start solving.
tan(27)=13/x multiply the x on both sides and you'll have x * tan(27)=13 and decide which to put into your calculator and you'll get x=25.51393657 rounded as 25.5
BRAINLIEST BRAINLIEST BRAINLIEST PLEASE ANDSER IT IS TIMED THANK YOU SO MUCCH
Answer:
x=-b/2a
Step-by-step explanation:
hope that helps :)
mark as brainliest please :)
Answer:
The axis of symmetry is x
Give brailiest, i gave you correct answer
Can someone pls help me! Pretty sure my teacher hates me, and she won’t help me with these!
Answer:
5. 43.98 (if not rounding pi, if rounding pi it is 43.96)
6. 201.06 (if not rounding pi, if rounding pi it is 200.96)
7. 72.8
8. 84
9. 3.6
10. 140
11. C
12. 12.6
Step-by-step explanation:
5. C=2*pi*r
6. A=pi*r^2
7. angles in triangle must add up to 180
8. A=bh
9. radius is half of diameter
10. A=(hb)b/2
11. A=pi*r^2
12. radius is 1/2 of diameter
A school’s auditorium can hold a maximum of 450 people. The school is holding a talent show
where 35 students will perform. The school pre-sold 345 tickets to the show and will now allow
the performers to use the remaining tickets for their friends and family. If each student
performing in the talent show can invite the same number of guests, select all of the following
that represents the possible number of guests that arrive for each performer.
Answer:
Each can invite 2 guest
Step-by-step explanation:
345+ 35= 380
450-380 = 70
70/35=2
Answer:
Each performer can get 2 guests.
Step-by-step explanation:
There are 35 performers and 345 pre-sold tickets, so we just need to subract them from the amount of people that the stadium can hold. 450 - 35 - 345 = 70 people left
Since there is space for 70 more people, each performer can get (70/35) = 2 guests
The entrance hall in Black's family house has a perimeter of 71 2/3 ft.IF it is 9 2/5 ft wide, how long is it?
Answer: 26 13/30 feet
Step-by-step explanation:
The hall is in the shape of a rectangle. The perimeter of a rectangle is:
= 2(length + width)
= 2l + 2w
Since perimeter = 71 2/3 ft and Width = 9 2/5 ft wide, the length will be calculated thus:
Perimeter = 2l + 2w
71⅔ = 2l + 2(9 2/5)
71 2/3 = 2l + (2 × 47/5)
71 2/3 = 2l + 94/5
71 2/3 = 2l + 18 4/5
Collect like terms
2l = 71 2/3 - 18 4/5
2l = 71 10/15 - 18 12/15
2l = 52 13/15
l = (52 13/15 ÷ 2)
l = 793/15 × 1/2
l = 793/30
l = 26 13/30
Therefore, the length is 26 13/30ft
help I don’t know how I’m supposed to do this
Answer: So, you got the length of side C. You now need to find what 10 is squared, then what plus what (in squared gates you there). A squared plus B squared is C squared. It is basic Pythagorean Threom.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
For this I think you should know what SOH-CAH-TOA is, if not here.
O=opposite, A=adjacent(side), and H=-hypotenuse. We see they give us the right angle we need to solve, remember that we need the angle to the side of the right angle. Now S=sin, C=cos, T=tan, with these we use them to solve in the calculator. If you don't have a calculator, its going to be hard. But if you have a Ti-84 then set it to Degree mode. Ok moving on, We see they give us the adjacent and the hypotenuse, not the opposite.(from the given angle) So we can take off, SOH and TOA, see it doesn't have or has the incorrect sides. So we have left CAH.
Equation time:
, we see that the x is on top so we just multiply....
[tex]cos36(10)[/tex]= 8.090
I hope this helps!
Find the value of x and y that will make each quadrilateral a parallelogram.
Answer:
6
Step-by-step explanation:
Answer:
x = 15, y = 7
Step-by-step explanation:
opposite angles are congruent in a parallelogram:
=> 3x + 4 = 7y
=> 3x - 7y = -4
the same-side interior angles of a parallelogram are supplementary angles, which means they sum to 180°:
=> 8x + 11 + 7y = 180
=> 8x + 7y = 169
add the two equation 3x - 7y = -4 and 8x + 7y = 169 to eliminate y and solve for x:
=> 3x - 7y = -4
8x + 7y = 169
+) ___________
11x = 165 => x = 15
plug x = 15 into one of the two equation to solve for y:
=> 3(15) - 7y = -4
=> 45 - 7y = -4
=> 7y = 49
=> y = 7
Which expression represents the phrase below?
8 less than the product of 6 and a number, x
8 - 6x B. 6x - 8
C. (6 + x) D. 8 - (6 + x)
Answer:
6x - 8 multiply 6 and x then subtract 8
Given that x = 7.4 m and θ = 31°, work out BC rounded to 3 SF
I NEED THIS ANSWER NOW
Answer:
59.0
Step-by-step explanation:
c=31
b=90
90+31=121
180-121=59
56 rounded to the nearest 3 sf=59.0
please mark as brainliest if correct
thank you
Answer:
12.333 m
Step-by-step explanation:
The ratio x/BC is the tangent of angle theta:
7.4
-------- = tan theta = 0.6
BC
7.4
Interchanging 0.6 and BC, we get BC = ------------ = 12.333 m
0.6
PLS, I NEED HELP ASAP!!
Answer:
3x+18
Step-by-step explanation:
3 times x
3 times 6
3x
18
3x+18
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.
y = negative 2 x squared + 7 x + 4
a.
( 1.75, -2.125)
c.
( 1.75, 10.125)
b.
( 1.75, 4)
d.
( -1.75, 10.125)
Given:
The equation of a parabola is:
[tex]y=-2x^2+7x+4[/tex]
To find:
The vertex of the graph of the given equation by using a graphing calculator.
Solution:
We have,
[tex]y=-2x^2+7x+4[/tex]
By using the graphing calculator, draw the graph of the given equation as shown below.
From the below graph it is clear that the function is maximum at point (1.75,10.125).
So, the vertex of the given equation is (1.75,10.125).
Therefore, the correct option is c.
A bag with 8 marbles has 2 blue marbles and 6 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in simplest form.
Answer:
there are no red marbles. so 0/8 is the probability
What is the area of this rectangle
Answer:
30 sq units
3 + 2 = 5
5 x 6 = 30
An owl ate 3 mice. Prior to being eaten, the 3 mice together consumed a small block of cheese. The cheese contained 60 kJ of energy. How many kilojoules of energy from the block of cheese did the owl obtain after consuming the 3 mice?
Which of the following has the smallest probability?
(a) Pt > 2) ift has 5 degrees of freedom.
(b) P(t > 2) ift has 2 degrees of freedom.
(C) PC: > 2) ifz is a standard Normal random variable.
(d) Pt <2) ift has 5 degrees of freedom.
(e) Plz < 2) if z is a standard Normal random variable.
The expression with the smallest probability is: (C) P(z > 2), if z is a standard Normal random variable.
What is a z-core?A z-core is also known as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.
In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\delta}[/tex]
Where:
x is the sample mean or observed data.u is the mean.[tex]\delta[/tex] is the standard deviation.In this exercise, we would have the smallest probability for P(z > 2), when z is a standard Normal random variable.
Read more on z-scores here: https://brainly.com/question/4302527
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answer:
it's a parallelogram.
Step-by-step explanation:
reason Since the vertically opposite angles are equal definitely the sides must be parallel to each other there by making it a parallelogram
which histogram correctly display the information to the left?
Answer:
option 3 so the second to last
Answer:
b
Step-by-step explanation:
The perimeter of a rectangle is 13 cm and its width is 2 ¾ cm. Find its length in cm.
Answer:
length = 3 3/4
Step-by-step explanation:
13 = 2(2 3/4) + 2l
13 = 2(11/4) + 2l
13 = 22/4 + 2l
52/4 - 22/4 = 2l
30/4 = 2l
30/4 ÷ 2 = l
30/4 x 1/2 = l
30/8 = l
length = 15/4 or 3 3/4
Abby's friend told her that he drew a quadrilateral with exactly one pair of parallel sides. Abby said it must be a trapezoid. Is she correct
Answer:
Yes, she is correct
Step-by-step explanation:
A trapezoid has exactly one pair of parallel lines and 4 sides
Evaluate 7^35 7^-21 7^-8
Answer:
117,649
Step-by-step explanation:
7^35 x 7^-29
= 7^6
=117,649
The table shows the prices of some breakfast items at a restaurant. Sara ordered 2 eggs, a slice of bacon, and a glass of juice for breakfast. The sales tax for the order was $0.48. She paid for her breakfast with a $10 bill.
How much change should sara receive from the $10 bill?
Answer:
$3.56
Step-by-step explanation:
mark me brainlest please
Answer:
3.56
Step-by-step explanation:
First you wanna add the prices of all the food so its
Two Eggs= 3.38
Slice of Bacon= 1.49
Orange Juice= 1.09
Add All then you get 5.96 and add sales tax so you get 6.44
The Subtract 10.00 - 6.44 = A/3.56
648/180 reduced? In fractions
Answer: 18/5
Step-by-step explanation: hope this helps pls mark me brainliest
Plz help i have been asking this question too much
Answer:
6
Step-by-step explanation:
1/6 of 36 is 6
2/3 of 36 is 24
6+24=30
36-30=6
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Answer:
if u search your question on brainly you'll see alot of answers! here is one of them!!!
I need help with these two problems ASAP. Please show your work:)
The formula for the circumference of a circle is [tex]\pi d[/tex].
In a:
The radius is 8 cm.
Therefore the diameter (d) would be 16cm (8 * 2)
Hence, the circumference is [tex]16\pi[/tex]
In b:
The diameter is already given: 13 in.
Thus, the circumference is [tex]13\pi =40.84[/tex] (2dp)
the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of the shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?
Answer:
30.17feet high
Step-by-step explanation:
Given the following
the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)
angle of elevation = 38°
Required
Height of the flagpole (opposite)
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 38 = H/49
H = 49sin38
H = 49(0.6157)
H = 30.17feet
Hence the flagpole is 30.17feet high
WHATS TYE ANSWER TO ALL OF THESE! I NEED TO KNOW ASAP! PLEASE!
Answer:
[tex]x+3>27\\ x-8>12\\ 7x\leq 14\\ x+15\geq 4[/tex]