Answer:
x = -8
Step-by-step explanation:
Subtract 13 from both sides:
3x = -24
Divide by 3:
x = -8
Solve for the missing angle : show your work
Answer:
Step-by-step explanation:
x + 85 = 180
x = 95
A square has a perimeter of 44cm. Calculate the area of the square.
Answer:
121 cm²
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the measure of the side )
Given perimeter = 44 cm , then
s = 44 ÷ 4 = 11cm , thus
A = 11² = 121 cm²
Answer:
Step-by-step explanation:
Above are two different models of the same triangular handkerchief. If the area of the model on the right is 108 sq cm, what is the area of the model on the left?
A.
27 sq cm
B.
54 sq cm
C.
12 sq cm
D.
36 sq cm
Answer:
54
Step-by-step explanation:
The area of the model on the left is 12[tex]cm^{2}[/tex]
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
SCALE FACTOR FORMULAScale DirectionScale Up (smaller to larger) = [tex]\frac{Larger figure measurement }{Smaller figure measurement}[/tex]
Scale Down (larger to smaller) = [tex]\frac{Smaller figure measurement }{larger figure measurement}[/tex]
According to question
area of right triangle which have (1cm= 2inch) is 108 [tex]cm^{2}[/tex] .
and Left triangle have (1cm= 6inch)
we will convert cm into inch for right triangle
area of right triangle = 108 [tex]cm^{2}[/tex]
as 1 cm = 2inch
1 [tex]cm^{2}[/tex] = 4 [tex]inch^{2}[/tex]
therefore,
108 [tex]cm^{2}[/tex] = 4 * 108 [tex]inch^{2}[/tex]
as mentioned that two different models of the same triangular handkerchief
and left triangle is 1 cm = 6 inch
1 [tex]cm^{2}[/tex] = 36 [tex]inch^{2}[/tex]
now we have to scale down as we have to larger to smaller
Scale Down (larger to smaller) = [tex]\frac{Smaller figure measurement }{larger figure measurement}[/tex]
= 4*108 / 36
= 12
Hence, the area of the model on the left is 12[tex]cm^{2}[/tex]
To know more about scale factor here :
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# SPJ2
what is equal to 3 * 3 * 3 * 3 * 3
Answer:
243 or 3^5
Step-by-step explanation:
You can do the product by multiplying starting from the left.
3 * 3 * 3 * 3 * 3 =
= 9 * 3 * 3 * 3
= 27 * 3 * 3
= 81 * 3
= 243
You can also change it to an exponential form.
3 * 3 * 3 * 3 * 3 = 3^5
Answer:
243
Step-by-step explanation:
3x3x3x3x3=243
How many students had more than 6 candy bars
use the picture above
Answer:
3
Step-by-step explanation:
you have to count all the xs past the number 6
Give an example of an angle (aº) which has a cos
value between 0.3 and 0.5
Answer:
cos60 - cos 72
Step-by-step explanation:
you can have an angle measure between 60 and 72 hence cos 60 - cos 72
hope this helps
Javier constructed a square by drawing two congruent triangles. Which shows one of the triangles he could have used? A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent. A triangle with angles 55 degrees, 35 degrees, and 90 degrees. A triangle with angles 65 degrees, 65 degrees, and blank. A triangle with 3 angles of 60 degrees. All sides are congruent.
Answer:
(A)A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent.
Step-by-step explanation:
If Javier wants to construct a square by drawing two congruent triangles.
One of the angle of the triangle must be equal to 90 degrees to form one of the vertex of the square.The other two sides of the triangle must be equal(congruent) to form the two adjacent side lengths of the square. This gives rise to an Isosceles Triangle with base angles of 45 degrees each.Therefore, the triangle which could be used is a triangle with angles 45 degrees, 45 degrees, and 90 degrees.
The correct option is A.
Answer:
its a
Step-by-step explanation:
The answer is not a
Answer:
C
Step-by-step explanation:
Given
[tex]\sqrt[4]{81y^{12} }[/tex]
= [tex]\sqrt[4]{3^{4} }[/tex][tex](y^3)^{4}[/tex]
= 3y³ → C
The side-lengths of a trapezoid are increased by a scale factor of 2. Predict
how this change will affect the perimeter.
A. The perimeter will double.
B. The perimeter will decrease by half.
C. There will be no change in perimeter.
D. The perimeter will increase by 2 units.
=
An artist mixes 2 lbs of plaster
with 3 gallons of water to make paper
mache. If the artist uses 18 gallons of water How many pounds of plaster will the artist need
water, how many pounds of plaster
will the artist need?
\frac{h^{2}-1 }{h+3} when h=5
Plz answer
Answer:
3
Step-by-step explanation:
[tex]\frac{h^{2}-1 }{h+3}[/tex]
[tex]\frac{5^{2} -1}{5+3}[/tex]
[tex]\frac{25-1}{8}[/tex]
[tex]\frac{24}{8}[/tex]
3
Point C ∈ AB and AB=18 cm. The distance from C to A is 3 cm. shorter than the distance from C to B. Find AC and CB.
Answer:
AC=7.5 cm
CB=10.5cm
Step-by-step explanation:
Since we don't know the distance from C to B, we can label it as x. Our equation will be x+(x-3)=18. Simplify that so it is 2x-3=18. Add 3 to both sides and get 2x=21. x=10.5 So AC=7.5 cm and CB is 10.5 cm
Which of the following represents the translation of A (1, −2) along the vector <−5, 1> and then the vector <3, 0>?
A. A (1, −2) → A ′(2, −7) → A ″(6, −7)
B. A (1, −2) → A ′(−4, −1) → A ″(−1, −1)
C. A (1, −2) → A ′(−5, 1) → A ″(3, 0)
D. A (1, −2) → A ′(−5, −2) → A ″(−15, 0)
Answer:
B. A (1, −2) → A ′(−4, −1) → A ″(−1, −1)
Step-by-step explanation:
When you see anything in between <> (let's say <a, b> are the numbers), it basically means <x+a, y+b>.
So if you replace a with -5, b with 1, and x and y with (1, -2) you get...
= (1 + (-5), -2 + 1)
= (1-5, -1)
= (-4, -1) ----------> Those are the coordinates of the new point.
But wait, it says that we now have to translate along the vector <3, 0>
So (-4, -2) become the new (x, y) coordinates and <3, 0> become the new a, b
= (-4+3, -1 + 0)
= (-1, -1)
That means that the coordinates of point A'' are (-1, -1)
Another way you could do this is by combining the two translations to just do one translation. It'll skip over the middle step, but will still give you the correct answer.
You would combine them by adding the translations of the x-coordinates together and the y-coordinates together
= <-5 + 3, 1 + 0 >
= <-2, 1>
Now you translate the point by this vector and...
= (1 - 2, -2 + 1)
= (-1, -1)
Tada! It works!
Therefore, the answer is B.
Dr. Lin is working a 12-hour shift at the hospital. She has already worked 9[tex]\frac{3}{4}[/tex] After taking a [tex]\frac{1}{4}[/tex] hour break, Dr. Lin splits her remaining time among her last 4 patients. How much time does Dr. Lin spend with each patient?
Answer:
1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
A chord is 15 cm long. It is 9 cm from the center of the circle. What is the radius of the circle?
Answer:
a²+b²=c²
7.5²+9²=c²
137.25=c²
√137.25=c²
11.72.... = c
The Radius of the circle is approximately 11.72cm
Step-by-step explanation:
Using this data. Create a Triangle with the Chord and Center of the dot. We know the distance between the chord and center which is one length of one of the sides.
We split the chord from the intersecting line from the center to the chord making the second line being 7.5cm
After We draw a line from the center of the circle to where the chord meets to the edge of the circle to create the triangle
We now have 2 measurements and can use Pythagorean Theorem to determine the radius from the missing length of the triangle.
What is this equal to 24=a(-2r1)(6-r2)
Answer:
24
_______
2r^3 - 12r
Step-by-step explanation:
Let's solve for a.
24 = a(−2r^1)(6 − r^2)
Step 1: Flip the equation.
2ar^3 − 12ar = 24
Step 2: Factor out variable a.
a(2r^3 − 12r) = 24
Step 3: Divide both sides by 2r^3 - 12r.
a(2r^3 − 12r) 24
__________ = ________
2r^3 - 12r 2r^3 - 12r
PLS HELP ME ON MY ALGEBRA
Answer:
Step-by-step explanation:
Make q the subject of the formula p = 2q2
Answer:
q = ± [tex]\sqrt{\frac{p}{2} }[/tex]
Step-by-step explanation:
Given
p = 2q² ( divide both sides by 2 )
[tex]\frac{p}{2}[/tex] = q² ( take the square root of both sides )
± [tex]\sqrt{\frac{p}{2} }[/tex] = q
Please help me find the surface area. Please explain, but not so its confusing like common core. Thanks.
Answer:
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Ryan scored 87, 93, 96, and 89 on her first four history quizzes. What score does Ryan need to get on her fifth quiz to have an average of exactly 91 on her history quizzes?
Answer: For Ryan to get an average of exactly 91, she needs to get a 90 on her fifth quiz.
Step-by-step explanation:
You can find the average of a set of numbers by adding them together and dividing the sum by the amount of numbers added.
Ryan has five total quizzes. Only four of them are known, so we can represent her fifth quiz as X.
[tex]\frac{87 + 93 + 96 + 89 + x}{5}[/tex], dividing the five quizzes' sum by 5
She wants the average to be exactly 91, so you can set the expression equal to 91 and solve:
[tex]\frac{365 + x}{5} = 91\\\\365 + x = 455\\\\x = 90[/tex]
For Ryan to get an average of exactly 91, she needs to get a 90 on her fifth quiz.
Find x in this proportion.
x/3 = x+2 /5
x =
-1
1
2
3
Answer:
it 2
Step-by-step explanation:
i took the test
Answer:
Step-by-step explanation:
[tex]\frac{x}{3}=\frac{x+2}{5}\\\\x*5=3*(x+2)\\5x =3x+6\\\\5x-3x=6\\\\2x=6\\\\x=\frac{6}{2}\\\\x=3[/tex]
Brainlest to the right answer ...
A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?
A. 2 ft by 6 ft
B. 2 ft by 8 ft
C. 4 ft by 3 ft
D. 4 ft by 4 ft
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As the area is 12, the length multiplied by the width must equal 12
Therefore, we can eliminate option B and option D as they wouldn't multiply to give 12
Let's test option A to see if it gives a perimeter of 16
2 + 6 + 2 + 6 = 16
As you see, this sums to 16
Thus, your answer is option A
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Stay Brainly! ヅ
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Which best describes the shape of this distribution?
skewed left
skewed right
uniform
normal
Answer:
uniform i think sorry if im wrong
10, 25, 55, ____, 235
Answer: 95
Step-by-step explanation:
Answer:
the pattern is going by 15.
Step-by-step explanation:
in a list of all 3 digit numbers whose digits add up to 9, what is the median
Answer:
Waddup bro. For your answer, think of it this way. What 3 digits will make up 9? 1 x 9 is 9. So that would work. find it out by trying out different combination that would make up 9. I'm not gonna write all of 'em but 3 digits would add up to 9. There are no other groups of numbers adding up to 9. 4. Add up the remaining digits, 5 + 5 + 0 + 3 = 13. 5.13 is more than 9, so 1 + 3 = 4. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers. So add all up the singe digits and divide it by how much there is.
Answer:
Step-by-step explanation:
numbers are
108,117,126,135,144,153,162,171,180,
207,216,225,234,243,252,261,270,
306,315,324,333,342,351,360,
405,414,423,432,441,450,
504,513,522,531,540,
603,612,621,630,
702,711,720,
801,810,
900
total number of terms=9+8+7+6+5+4+3+2+1=45
median =(45+1)/2=23 rd term
median=351
I NEED HELP ASAP!!!
PLEASE HELP ME!!!
Answer:
A). X is 80 degrees
Step-by-step explanation:
B). We know this because AD and EH are congruent. Since B and F are also congruent, then x and the angle above B must be congruent. So, the angle an=bove B is 80 degress, which makes line AD 180 degrees, or a straight line. that must mean that x is 80 degrees as well.
I hope this works. Good luck!
Find the value of the combination. 7 C 2
a.21
b.42
c.49
The answer is 21
Step-by-step explanation:
The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel. A graph titled Water Supply with number of days on the x-axis and gallons of water left on the y-axis. A line goes through points (6, 33) and (15, 15). What does the y-intercept represent?
Answer:
its c i guess i thought it was B because it says the amount of water that remains in the water barrel remains means what is left and initially means at first so i guess its C
Step-by-step explanation:
please rate and give me a thanks if you wanna get more answers
Here, we are required to determine what the y-intercept represents.
The equation of a line is given by;
y = mx + c.
where m = slope
and c = y-intercept.
Since the y-axis represents the Gallons of water left in the tank.
The y-intercept represents the point which corresponds to when x = 0.
In this case, the y-intercept represents the amount of water that is initially in the water barrel. i.e 45gallons of water.
Read more:
https://brainly.com/question/22163485
y=x^{2} +4x-7 determine the axis of symmetry the vertex point and find the roots useing the QUADRATIC FORMULA
Answer:
Step-by-step explanation:
y=x²+4x-7
=x²+4x+4-4-7
=(x+2)²-11
axis of symmetry is x=-2
vertex is (-2,-11)
x²+4x-7=0
[tex]x=\frac{-4 \pm\sqrt{4^2-4(1)(-7)} }{2(1)} \\=\frac{-4 \pm \sqrt{16+28} }{2} \\=\frac{-4 \pm 2\sqrt{11} }{2} \\=-2 \pm\sqrt{11}[/tex]
Answer:
Axis of symmetry is x = -2
(-2, -11) is the vertex
Roots are
-2 + [tex]\sqrt{11}[/tex], -2 - [tex]\sqrt{11}[/tex]
Step-by-step explanation:
a) Axis of symmetry equation is: x = -b/2a
Original equation: y = [tex]x^2+4x-7[/tex]
So...
x= -4/2(1) = -2
Axis of symmetry is x = -2
b) Vertex Point can be found by plugging into original equation.
[tex]y =x^2+4x-7[/tex]
=> y = [tex](-2)^2+4(-2)-7[/tex]
=> 4 - 8 - 7 = y
=> -11 = y
(-2, -11) is the vertex
c) quadratic formula is [tex]x = \frac{-b +-\sqrt{b^2-4ac} }{2a}[/tex]
Lets plug in the values.
[tex]\frac{-4 +- \sqrt{4^{2}-4(1)(-7) } }{2(1)}[/tex]
[tex]\frac{-4 +- \sqrt{16+28 } }{2}[/tex]
[tex]\frac{-4 +- \sqrt{44 } }{2}[/tex]
[tex]\sqrt{44} = 2\sqrt{11}[/tex]
-4 +- 2[tex]\sqrt{11}[/tex]
--------------
2
Here, i will factor out 2, and take out the +- and make it into two equations
2(-2 + [tex]\sqrt{11}[/tex]) / 2 = -2 + [tex]\sqrt{11}[/tex]
2(-2 - [tex]\sqrt{11}[/tex]) / 2 = -2 - [tex]\sqrt{11}[/tex]
x= -2 + [tex]\sqrt{11}[/tex]
or
x = -2 - [tex]\sqrt{11}[/tex]
Roots are
-2 + [tex]\sqrt{11}[/tex], -2 - [tex]\sqrt{11}[/tex]
Figure CDEF is a parallelogram.
Parallelogram C D E F is shown. The length of F C is 6 n minus 1, the length of C D is 4 n + 2, and the length of D E is 5 n + 9.
Which equations are correct? Select three options.
n = 10
n = 7
CF = 59
FE = 42
CD = 30
Answer: A, C, D
Step-by-step explanation: The other person accidentally put 49 instead of 42
The equations that are correct are n = 10, CF = 59 and FE = 42
Properties of a parallelogramFrom the attached diagram, we can see that the opposite side of the parallelogram are equal, hence;
DE = CF
6n - 1 = 5n + 9'
Find the value f n
6n - 5n = 9 + 1
n = 10
CF = 5n + 9
CF = 5(10) + 9
CF = 59
For the measure of FE
FE = 4n + 2
FE = 4(10) + 2
FE = 42
Hence the equations that are correct are n = 10, CF = 59 and FE = 42
Learn more on parallelogram here: https://brainly.com/question/970600
