Answer:
11.3
Step-by-step explanation:
first we find angle F.
remember, all angles in a triangle always sum up to 180 degrees.
so,
F = 180 - 90 - 61 = 29 degrees
now we use the law of sines.
EF/sin(D) = ED/sin(F) = DF/sin(E)
DF = x
sin(E) = sin(90) = 1
5.5/sin(29) = x/1 = x
x = 11.3
Missy’s rotation maps point K(17, –12) to K’(12, 17). Which describes the rotation?
270 degrees counterclockwise rotation
90 degrees counterclockwise rotation
90 degrees clockwise rotation
180 degrees rotation
it's a 90 degree counterclockwise rotation around the origin (0,0).
see the screenshot for illustration
Answer:
B.
Step-by-step explanation:
The measure of an angle is eight times the measure of its supplementary angle. What is the measure of each angle?
Step-by-step explanation: X=10 DEGREES FOR THE SMALLER ANGLE. 8*10=80 DEGREES FOR THE LARGER ANGLE.
Answer:it’s 20 and 160 I’m doing ixl and this was the correct answer.
Step-by-step explanation:
Express the polynomial −g + 3g + 2g2 in standard form and then classify it.
cubic binomial
quadratic binomial
cubic trinomial
quadratic trinomial
Answer:
quadratic binomial
[tex]{ \boxed{ \bf{a {x}^{2} + bx + c }}} \\ 2 {g}^{2} + 3g - g[/tex]
Help please guys if you don’t mind
Step-by-step explanation:
Step 2:
[tex] ({15x}^{2} - 9x) + (5x - 3)[/tex]
Stepc3:
[tex]3x(5x - 3)[/tex]
Which property of math is the young student learning with the following equation? 3 x (4 + 7) = (3 x 4) + (3 x 7)
The property of math they are learning is the distributive property
A straight line is drawn through the points A(1,1) and B(5,-2). Calculate the gradient
Answer:
-3/4
Step-by-step explanation:
The line passes through the two points which are A(1,1) and B(5,-2) . We know that the slope of the line passing through two points is ,
[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies Slope =\dfrac{ -2-1}{5-1}\\\\\implies Slope =\dfrac{-3}{4} \\\\\implies \underline{\underline{ Slope (m) =\dfrac{-3}{4}}}[/tex]
Hence the slope of the line is -3/4 .
Plss Answer!!!!!!!!!
Answer:
Ecosystem: Trees
Ways to protect are as follows:-
Control over Forest FireDon't waste paper. Plant a tree[tex]\sqrt{x} 8xyx^{2}[/tex]
Answer:
nom nom
Step-by-step explanation:
nom nommy nom nom
In the adjoining parallelogram ABCD, A is joined to any point E on BC. AE and DC produced meet at E Prove that. area of ∆BEF = area of ∆ CDE
Answer:
In parallelogram ABCD any point E is taken on the side BC . AE and DC when produced to meet at a point M . Prove that ar(ADM) = ar(ABMC) .There are 90 penguins in a zoo. There are two types- Humboldt and Emperor. 52 are female, of these 6 are Emperor penguins. There are 5 male Emperor penguins. Use this information to complete the frequency tree.
Answer:
Total number of penguins = 90Female penguins = 52Male penguins = 90 - 52 = 38Female Emperor penguins = 6Female Humboldt penguins = 52 - 6 = 46Male Emperor penguins = 5Male Humboldt penguins = 33T is directly proportional to
[tex] \sqrt{x} [/tex]
T=400 when x = 625
(a) Find a formula for T in terms of x.
pls help i need it urgently Pls pls pls
Answer:
(a) T = 16√x
Step-by-step explanation:
T is directly proportional to √x, so we can say,
T=k√x (where k is a constant)
now, according to the question,
400=k×√625
400=k×25
k=16
so, putting the value of k in the equation, T=16√x
Answered by GAUTHMATH
Step-by-step explanation:
Given that ,
T is directly proportional to √x .Mathematically we can write it as ,
[tex]\implies T \propto \sqrt{x}[/tex]
Let k be the constant , therefore ,
[tex]\implies T = kx [/tex]
Now when T = 400 and x = 625 , lets find the value of k , as ,
[tex]\implies 400 = k\times 625 \\\\\implies k =\dfrac{400}{625}\\\\\implies k= 0.64 [/tex]
Therefore the required formula will be ,
[tex]\implies \underline{\underline{ T = 0.64x}} [/tex]
Which expression can be used to find the difference of the polynomials?
(10m – 6) – (7m – 4)
Answer:
3m -2
Step-by-step explanation:
(10m – 6) – (7m – 4)
Distribute the minus sign
(10m – 6) – 7m + 4
Combine like terms
3m -2
HELP ME I HAVE ONLY TODAY LEF TFOR SCHOOL PLS!!!!!
Suppose yogurt is on sale for $0.85 a piece, and you have a coupon for $0.99 off your total purchase. Write a function rule for the cost oh N yogurts. How much would 15 yogurts cost?
A: C(n) = $0.99n - $0.85; $14.00
B: C(n) = $0.85n - $0.99; $11.76
C: C(n) = $0.85n; $12.75
D: C(n) = $0.99n; $14.85
Answer:
B
Step-by-step explanation:
n is how many you buy times the price of $0.85 and then you subtract a coupon for $0.99 for the entire purchase.
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?
Amelia’s, because the variable term must be isolated on the left side
Luis’s, because he flipped the inequality sign when he subtracted
Shauna’s, because she did not apply the subtraction property of equality properly
Clarence’s, because the terms he added together were not like terms
Answer:
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get
6.5 > –2.4b – 8.1
Correct
Luis started by subtracting 4.8b from both sides to get
2.4b + 6.5 < – 8.1
Incorrect
Shauna started by subtracting 6.5 from both sides to get
7.2b > 4.8b – 14.6
Correct
Clarence started by adding 8.1 to both sides to get
7.2b + 14.6 > 4.8b
Correct
Luis’s is incorrect because he flipped the inequality sign when he subtracted
Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.
O $22 AUD X
1.2 USD
1 AUD
O $22 AUD X
1 USD
1.2 AUD
O $1.20 AUD X
1 USD
1.2 AUD
O $1.20 AUD X
1.2 USD
1 AUD
Answer:
The answer is B
Step-by-step explanation:
B
The 22 Australian dollar in USD is 18.33.
What is currency?Currency is a medium of exchange for goods or services within an economy, usually issued by a government or central bank and generally accepted at its face value.
Given that, we need to determine that there are how many USD in 22 AUD,
So, 1.2 Australian dollars equals 1 US dollar.
Therefore,
22 AUD = 22 x 1 / 1.2 = 18.33
Hence, the 22 Australian dollar in USD is 18.33.
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Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50. Please help ASAP!!!!
Answer:
what is the question you are only telling us the fact
Step-by-step explanation:
How many triangles are there in the picture?
five I think I am not sure
Simplify (square root)2/^3(square root)2
A. 2^1/6
B. 2^1/3
C. 2^5/6
D. 2^3/2
Answer: Personally I would do option "B" 2 1/3 because it sounds right.
LAST QUESTION SOMEONE HELP PLEASE QUICK
Answer:
27%
Step-by-step explanation:
Answer:
p(j)=27% is correct answer
Find the cosine of angle A to the nearest 100th.
Answer:
[tex]{ \tt{ \cos(A) = \frac{ \sqrt{700} }{40} }} \\ { \tt{ \cos(A) = 0.66 }}[/tex]
Jac is reading this paragraph from The Code Book. Mathematicians have been studying factoring for centuries, and modern factoring techniques are not significantly better than ancient techniques. Indeed, it could be that the laws of mathematics forbid the existence of a significant shortcut for factoring. Which question will best help Jac apply the reading to his own life
Answer:
The answer is "What is important for me to understand?".
Step-by-step explanation:
It is because it is based also on the conclusion that the word in the text read the Jac can draw. Essentially, the particular excerpt read by Jac in his coding book explains that, whether old or new, all older techniques used in the past, compared with the new factorization methods, in truth all shortcuts in mathematics are not feasible and hence all steps have to occur. This implies Jac has to discover what really is important, what he must comprehend, and whether whatever tactics he is using are old and new. The same would be valid of life itself; irrespective of how he chooses to live his life, there are times where shortcuts cannot be used.
Find the greatest number such that; x360y is divisible by 24
WILL GIVE BRAINIEST, NEED ANSWER ASAP
Answer:
93600
Step-by-step explanation:
24=3*2*2*2
y=0,8
1) x3600, then x=9,6,3
2)x3608, then x=1,4,7
9 is the largest so the final answer is 93600
What fraction of a circle does an arc measure of 30 degrees encompass?
1/12
1/4
1/6
1/3
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
A full circle consists of 360°, so we can write the fraction of this arc as [tex]\frac{30}{360}[/tex], which can be simplified to [tex]\frac{1}{12}[/tex] by dividing the numerator and denominator by 30.
**This content involves simplifying fractions and knowledge on the angle sum of a circle which you may wish to revise. I'm always happy to help!
PLEASE ANSWER!! I don’t understand
Answer:
[tex]m\angle 2=122^{\circ},\\m\angle 1 = 58^{\circ}[/tex]
Step-by-step explanation:
By definition, tangent lines touch a circle at one point. This one point intersects the circle at a 90 degree angle.
In any circle, the measure of an inscribed angle is exactly half of the arc it forms. Since [tex]\angle 2[/tex] forms an arc labelled 244 degrees, the measure of angle 2 must be [tex]\frac{244}{2}=\boxed{122^{\circ}}[/tex].
Angle 1 and 2 form one side of a line. Since there are 180 degrees on each side of the line, we have:
[tex]\angle 1+\angle 2=180,\\\angle 1 + 122=180,\\\angle 1=180-122=\boxed{58^{\circ}}[/tex]
maths questions on coordinate geomery
Answer:
:
Example Question #1:
Step-by-step explanation:
Which of the following is the equation of a line that is parallel to the line 4x – y = 22 and passes through the origin?
Possible Answers:
4x – y = 0
(1/4)x + y = 0
4x + 8y = 0
4x = 8y
y – 4x = 22
Correct answer:
4x – y = 0
Explanation:
We start by rearranging the equation into the form y = mx + b (where m is the slope and b is the y intercept); y = 4x – 22
Now we know the slope is 4 and so the equation we are looking for must have the m = 4 because the lines are parallel. We are also told that the equation must pass through the origin; this means that b = 0.
In 4x – y = 0 we can rearrange to get y = 4x. This fulfills both requirements.
', .
If the volume of a given cube is 729 cubic inches, what is the surface area of the
cube?
486 sq.inches
230 sq.inches
120 sq.inches
222 sq.inches
Answer:
SA = 486
Step-by-step explanation:
Its a cube. s = side length
V = [tex]s^{3}[/tex]
729 = [tex]s^{3}[/tex]
take cube root of each side : [tex]\sqrt[3]{729}[/tex] = 9
so, s = 9
Surface Area of a cube
SA = 6[tex]s^{2}[/tex]
SA = 6([tex]9^{2}[/tex])
SA = 6(81)
SA = 486
The surface area of the cube is 486 square inches. The correct option is A.
To find the surface area of a cube, we need to use the formula:
Surface Area = 6 x (side length)²
Given that the volume of the cube is 729 cubic inches, we can determine the side length of the cube using the formula for volume:
Volume = (side length)³
729 = (side length)³
Taking the cube root of both sides:
side length = ∛(729) = 9 inches
Now, we can substitute the side length into the surface area formula:
Surface Area = 6 x (9 inches)² = 6 x 81 = 486 square inches
Therefore, the surface area of the cube is 486 square inches.
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hello I’m new here ! But I’m having trouble understanding how my teacher factored out the A from a-a(1.2^4)? And made it to A(1-1.2^4)?
I attached a picture !
Thank you everyone :)
This is the distributive property:
ab + ac = a (b + c)
In this case, you have
a - a (1.2⁴)
and a is a common factor to both a and a (1.2)⁴, so you can pull it out as
a (1 - 1.2⁴)
Which property does each equation demonstrate?
x2 + 2x = 2x + x2
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there were 4605 no votes, what was the total number of votes?
I need it by tonight for a pop quiz tomorrow
Answer:
Try to do it yourself, since you have a test tomorrow
Good luck
Step-by-step explanation:
5: 4605
13 (8+5):
[tex] \frac{4605}{5} \times 13 = [/tex]
=Your answer
Write the equation of the line parallel to 4y - x = -20 that passes through the point (8,3).
Answer:
y= ¼x +1
Step-by-step explanation:
Rewriting the equation into the slope-intercept form (y= mx +c, where m is the gradient and c is the y- intercept):
4y -x= -20
4y= x -20 (+x on both sides)
y= ¼x -5 (÷4 throughout)
Thus, slope of given line is ¼.
Parallel lines have the same gradient.
Gradient of line= ¼
y= ¼x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 8, y= 3,
3= ¼(8) +c
3= 2 +c
c= 3 -2
c= 1
Hence the equation of the line is y= ¼x +1.