Answer:
x = 23.5°
Step-by-step explanation:
The 4 angles 90, 43, x , x lie on a straight angle, thus
90 + 43 + x + x = 180, that is
133 + 2x = 180 ( subtract 133 from both sides )
2x = 47 ( divide both sides by 2 )
x = 23.5°
The grassy area of a playground has a side length of x and a side of width of x + 3 what is the area of the playground?
A. A(x)=x^2+3x
B. A(x)=x^2+x+3
C. A(x)=2x+3
D. A(x)=x^2+3
Answer:
A
Step-by-step explanation:
We assume this playground is a rectangle. The area of a rectangle is of the form: A = lw, where l is the length and w is the width.
Here, the length is l = x and the width is w = x + 3. So, plug these in:
A = lw
A = x(x + 3)
Expand this out:
A = x² + 3x
The answer is thus A.
Answer:
A
Step-by-step explanation:
Area = length × width
Area = x × (x + 3)
A(x) = x²+ 3x
At Spring Middle School, 25% of the 124 students Mr.Barrett teaches buy their lunches in the cafeteria. How many students do NOT purchase their lunches in the cafeteria?
A. 31 students
B. 68 students
C. 93 students
D. 45 students
Answer:
C. 93 students
Step-by-step explanation:
25 x 124 = 3100
3100/100 = 31
124 - 31 = 93
Therefore, 93 students do NOT purchase their lunches in the cafeteria.
Answer: C. 93 students do not purchase their lunches in the cafeteria.
Step-by-step explanation:
25% * 124= 31
124 - 31 = 93
Write a linear equation in standard form for the line that goes through (4,3)
and (8,2).
Answer:
Ax + By = C
A, B and C can be any number--including negative numbers, zero and one! So examples of standard form can look like this:
3_x_ + 7_y_ = 10, where A = 3, B = 7 and C = 10.
Or they can look like this:
x + 5_y_ = 6. In this case, A = 1, B = 5 and C = 6.
Or this:
8_y_ = 9. In this case, A = 0, which is why x does not appear in the equation. B = 8 and C = 9, as you would expect.
And here's one more:
3_x_ − 5_y_ = 12. Here, A = 3, B = −5 and C = 12. Notice that in this case, B is negative five!
The standard form of a linear equation is Ax + By = C, where A, B and C can be any number.
What is the solution to 4^log4(X+8) = 4^2?
Answer:
What is the solution to 4^(log4(x+8))=4^2 x=-8 x=-4 x=4 x=8. 2.
Step-by-step explanation:
=-8 x=-4 x=4 x=8. 2.
Answer:
8
Step-by-step explanation:
4^log4(x+8) = 4^2
log₄(x+8)=2
(log(x+8))/log4=2
log(x+8)=2log4
log(x+8)=log16
x+8=16
x=8
What procedure can be used to solve the equation StartFraction x Over 19.3 EndFraction = 38.6, and what is the solution?
Multiply StartFraction x Over 19.3 EndFraction by 19.3; the solution is 38.6.
Multiply StartFraction x Over 19.3 EndFraction by 19.3; the solution is 372.49.
Multiply both sides by 19.3; the solution is 38.6.
Multiply both sides by 19.3; the solution is 744.98.
The procedure to solve the equation x / 19.3 = 38.6 is to multiply both sides of the equation by 19.3. The solution is 744.98.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
The equation is given in the question following as:
x / 19.3 = 38.6
To solve the equation, you would multiply both sides by 19.3 to get :
⇒ x = 19.3 × 38.6
Apply the multiplication operation, and we get
⇒ x = 744.98.
So, the solution is x = 744.98.
Therefore, the correct answer is D. Multiply both sides by 19.3; the solution is 744.98.
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Answer: D. Multiply both sides by 19.3; the solution is 744.98.
Step-by-step explanation:
took the test! :)
A random number generator app on your phone generates two numbers between 0 and 8. What is the probability that the first number is less than three and the second number is 6? Express the probability as a fraction in simplest form.
Answer:
1/27
Step-by-step explanation:
There are 9 numbers between 0 and 8. 3 of them are less than 3 (0, 1, and 2), and 1 of them is 6.
The probability is therefore (3/9) (1/9) = 1/27.
what is the value of the expression 4 - (-7)
Answer:
-3
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
4 + 7 = 11
..................
When the value of x is 3, what is the value of Y?
Read this carefully please.
Answer:
Y would be 9
Step-by-step explanation:
i saw the picture
x:y
1:3
2:6
3:9
You times the x by 3 and keep going down
Hope this helped
The table below represents the number of paintings, y, that Jordan completed in x years.
Jordan's Paintings
Which equation describes the relationship between the number of paintings and the year?
y = 3x + 1
y = 3x + 4
y = x +3
y = 4x + 3
Answer:
y=3x+1
Step-by-step explanation:
It would be y=3x+1 because if you replace x with 2 and do y=3(2)+1 you would get y=6+1 or just y=7 and in the table for 2 years it says 7 paintings.
Each year for 4 years, the time it takes you to run a mile decreases by 6 seconds. Find the total change in time.
Answer:
To set up this equation, we want to find the total change in time (x) over 4 years if every year your time decreases by 6 seconds. Our equation should look something like this:
x = 6*4
To solve this, you just have to multiply 6*4!
x = 24
This means that over 4 years, you have cut 24 seconds off of the time it takes you to run a mile! Your total change in time would then be 24 seconds!
Find the total surface area of this prism
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area of triangle = (b x h) / 2
area of triangle = (14 x 24) / 2
A.I.T = 168 cm^2
As there are 2 triangles, double this value
Area of triangles = 168 x 2 = 336 cm^2
Area of rectangle = 25 x 10 = 250
As there are 2 of the same rectangle, double this value
250 x 2 = 500
Area of rectangle = 10 x 14 = 140 cm^2
Add all the values together to get the total surface area
140 + 500 + 336 = 976
The answer is 976 cm^2
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Question Five
The surface of Great Slave Lake is 156 m above sea level. At the deepest point, the bottom of the lake is
458 m below sea level.
a) Use absolute value symbols to write a statement to determine the depth of the lake.
b) What is the depth of the lake?
a) The correct statement to find the depth of the lake is,
⇒ 156 + |- 458|
b) The depth of the lake is,
⇒ 614 m
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The surface of Great Slave Lake is 156 m above sea level.
And, At the deepest point, the bottom of the lake is 458 m below sea level.
Here, The depth of the lake is find as;
⇒ 156 + |- 458|
⇒ 156 + 458
⇒ 614 m
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If tanθ = 4, what are possible values of cos(θ)?
A. -1/5, 1/5
B. 1/5, 4/5
C. -1/√17, 1/√17
D. 1/√17, 4/√17
Answer:
C
Step-by-step explanation:
solve 3 3/5 x (-8 1/3)
Answer:
The answer to this problem is -24/5.
A polygon has the following coordinates: A(-4,-3), B(4,-3), C(4,-7), D(-4,-7). Find the length of BC.
Answer:
9
Step-by-step explanation:
Use the table to find the residual points. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 0.7, 2.3, 4.1, 7.2, 8. The third column is labeled predicted value with entries negative 0.28, 1.95, 4.18, 6.41, 8.64. The fourth column is labeled residual value with all entries blank. Which residual plot is the correct one for the data?
Answer:
What is the change for each consecutive input?
✔ 1
What is the change for each consecutive output?
✔ 0.35
What is the rate of change for the relationship?
✔ 0.35
Step-by-step explanation:
The change for each input is 1 beacause the inputs are 10,11,12,13
The change for each consecutive output is 0.35 beacuse we need to subtract 4.1 from 3.75
The rate of change for the relationship is also 0.35
Answer:
The second graph
Step-by-step explanation:
EDGE 2021
Which of the following are geometric sequences?
Check all that apply.
A. 2, -2, 2, -2, 2-2, 2
B. 1.4. 9, 16, 25, 36, 49
C. 10.5, 2.5, 1.25, 0:625, 0.3125
D. 1. 2. 4. 8 16 32
Answer:
D
Step-by-step explanation:
1*2=2
2*2=4
4*2=8
8*2=16
16*2=32
The sequence 1, 2, 4, 8, 16, 32 is geometric sequences, Option D is correct.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the preceding term by a fixed constant called the common ratio.
Let us check all the options for geometric sequence
2, -2, 2, -2, 2-2, 2
This is not a geometric sequence because the terms are not multiplied by a common ratio to get the next term.
1.4. 9, 16, 25, 36, 49
This is not a geometric sequence because there is no common ratio between the terms.
10.5, 2.5, 1.25, 0:625, 0.3125
This is not a geometric sequence because there is no common ratio between the terms.
1, 2, 4, 8, 16, 32
This is a geometric sequence because each term is obtained by multiplying the previous term by the common ratio of 2.
Therefore, the sequence 1, 2, 4, 8, 16, 32 is geometric sequences, Option D is correct.
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Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. The distance is 8 units. Riko correct? Explain why or why not.
Answer:
incorrect
Step-by-step explanation:
The calculation he has done only calculates the distance between the y- coordinates of the points.
Calculate the distance d using the distance formula.
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (2, - 5)
d = [tex]\sqrt{(2+2)^2+(-5+3)^2}[/tex]
= [tex]\sqrt{4^2+(-2)^2}[/tex]
= [tex]\sqrt{16+4}[/tex]
= [tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = 2[tex]\sqrt{5}[/tex] ← exact distance
Answer:Sample Response: No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.
Step-by-step explanation:
i need question with question 2!! my homework is due on friday... someone please help
Answer:
a) A.S.A ≅ A.S.A postulate
b) S.A.S Postulate
c) S.S.A Postulate
d) S.S.S Postulate
Evaluate the expression below at x = 6.
Answer:
16
Step-by-step explanation:
(6+1/3×6)^2
(6+6/3)^2
(12/3)^2
(4)^2
16
PLZ HELP TODAY I WILL MARK BRAINLIEST PLEASE HELP ASAP
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
Answer:
They would take 27 days
Step-by-step explanation:
If 24 electricians can to the work to wire a new housing subdivision in 36 days.Therefore,32 electricians will take lesser days to complete it.
So,let the no. of days needed to complete the work by 32 electricians be x;
As the no.of days are decreasing with the increasing no. of electricians;it can be called as inverse variation
Therefore,
24 × 36 = 32 × x
x = 24 × 36 ÷ 32 (by cross multiplication method)
x = 27
Thus,It will take 27 days for 32 electricians to complete the same work which 24 electricians needed to complete in 36 days
(short answers plzz)
1- An ordered pair has coordinates that have the same sign. In which quadrant(s) could the point lie? Explain.
2- Another ordered pair has coordinates that are opposites. In which quadrant(s) could the point lie? Explain
Answer:
1) quadrants 1 and 3
2) quadrants 2 and 4
Step-by-step explanation:
Need help !!!!!!!!!!!!!!!!!!!
Answer:
I'm guessing the answer is B againn XD
must be a lucky day for B!!
A clerk earns $12 an hour. How much does the clerk earn for p hours of work?
I don’t know the value of x
Answer:
X=15
Step-by-step explanation:
i hope this helps :)
Answer:
x=15
Step-by-step explanation:
since the number and letters are right next to each other you multiply them so
2x15=30
4x15=60
30+60=90
and thats a right angle and right angles = 90 degrees
Please Help me! Choose an answer
Thanks
Answer:
C.
Step-by-step explanation:
The change rate is just to big to differ from 2-4 and M isnt the same rate as P in the problem, so the answer would be C. (hoped this helped :D
Answer:
A
Step-by-step explanation:
Rate of change of the functions is measured by their slopes.
Function M
Calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (0, 1) ← 2 ordered pairs from the table
m = [tex]\frac{1+9}{0+2}[/tex] = [tex]\frac{10}{2}[/tex] = 5
Function P
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 7x + 9 ← is in slope- intercept form
with m = 7
Thus
Their rates of change differ by 2 → A
Please help with this one!
Answer:
4cm and 6cm
Step-by-step explanation:
Area= [tex]\frac{1}{2}[/tex]×base×height
Area=[tex]\frac{1}{2}[/tex]×4×6
Area= 12cm²
You want to buy a new cell phone. The sale price is $149. The sign says that this is
$35 less than the original cost. What is the original cost of the phone?
Answer:
184
Step-by-step explanation:
OC(Original Cost)-35=149
OC=149+35=184
What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem? LO ≅ LM OA ≅ MA AngleLOA ≅ AngleLMA AngleLAO ≅ AngleLAM
Answer:
∠LOA≅∠LMA
Step-by-step explanation:
The first two options are incorrect because you need one more set of congruent ANGLES, not SIDES. The last option would prove congruency, but through ASA, not AAS. So it would be the third option.
For both triangles to be congruent by the AAS congruence theorem, the additional information needed is: C. ∠LOA ≅ ∠LMA.
What is the AAS Congruence Theorem?The AAS congruence theorem states that two triangles are proven to be congruent when they have two pairs of corresponding congruent angles and a pair of non-included sides that are congruent.
From the diagram given, we already known that:
LA ≅ LA [congruent side]
∠OLA ≅ ∠MLA [one pair of congruent angles]
Therefore, an additional information that would make both triangles congruent by the AAS congruence theorem is: C. ∠LOA ≅ ∠LMA.
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PLZ HELP ME PLZ HELP
Answer:
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