Answer:
point a
Step-by-step explanation:
start from the axis go up 3 to the left one and point a is five units below point g
Answer:
Point B is 5 units from point G.
Step-by-step explanation:
The ordered pair (3,-1) is 4 units down from point D.
And point B is 5 units to the left of point G.
What is the coefficient in the expression shown?
Answer:
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression.
Step-by-step explanation:
The linear scale factor of two similar shapes is in ratio 3:4 if the area of the smaller shape is 72cm, find the area of the bigger shape
Answer:
128 cm²
Step-by-step explanation:
Given linear scale factor of 2 similar shapes = a : b , then
ratio of areas = a² : b²
Here linear scale factor = 3 : 4 , then
ratio of areas = 3² : 4² = 9 : 16
let x be the area of the larger shape then by proportion
[tex]\frac{9}{72}[/tex] = [tex]\frac{16}{x}[/tex] ( cross- multiply )
9x = 1152 ( divide both sides by 9 )
x = 128
That is area of larger shape is 128 cm²
b(1)=−7
b(n)=b(n−1)+12
Find the 4th term in the sequence.
Answer:
4th term = 29
to generate the terms, substitute n = 2, 3, 4 into the rule
noting that b(1) = - 7
b(2) = b(2 - 1) + 12 = b(1) + 12 = -7 + 12 = 5
b(3) = b(3 - 1) + 12 = b(2) + 12 = 5 + 12 = 17
b(4) = b(4 - 1) + 12 = b(3) + 12 = 17 + 12 = 29
A wooden frame is to be constructed in the form of an isosceles trapezoid, with diagonals acting as braces to strengthen the frame. The sides of the frame each measure 5.3 feet, and the longer base measure 12.7 feet. If the angles between the sides and the longer base each measure 68.4 degrees, find the length of one brace to the nearest tenth of a foot.
Answer:
11.8 ft
Step-by-step explanation:
Since the length of one side, l = 5.3 ft, the longer base b = 12.7 ft and the one brace, d form a triangle with angle between the longer base and side being the angle facing the brace is θ = 68.4°, we use the cosine rule to find the length of thee brace.
So d² = l² + b² -2lbcosθ
So, substituting the values of the variables into the equation, we have
d² = (5.3 ft)² + (12.7 ft)² -2(5.3)(12.7)cos68.4°
d² = 28.09 ft² + 161.29 ft² - 134.62(0.3681)
d² = 189.38 ft² - 49.56 ft²
d² = 139.82 ft²
taking square-root of both sides, we have
d = √139.82 ft²
d = 11.82 ft
d ≅ 11.8 ft to the nearest tenth of a foot.
Question 4 Multiple Choice Worth 1 points)
(01.02 MC)
Solve for :
2 x -
(x - 2) = 4x
Answer:
[tex]\small \sf \frac{2}{3} = x \\ [/tex]
Step-by-step explanation:
Solve for x;
2x - ( x - 2 ) = 4x
distribute minus sign through parantheses
2x - x + 2 = 4xcombine like terms
x + 2 = 4xsubtract x from both side
x - x + 2 = 4x - x2 = 3 xDivide each side by 3
[tex] \small \sf \frac{2}{3} = \frac{3x}{3} \\ [/tex]
[tex]\small \sf \frac{2}{3} = x\: \\ [/tex]
What is the distance between the bank and Hiroto's house on the map?
Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)
Answer:
The distance is 12 miles
Step-by-step explanation:
Given
See attachment for grid
Required
The distance
From the attached:
[tex]B = (-8,6)[/tex] --- Bank
[tex]H = (4,6)[/tex] --- Hiroto's house
Using distance formula, we have:
[tex]d = \sqrt{(x_1- x_2)^2 + (y_1 - y_2)^2}[/tex]
This gives:
[tex]d = \sqrt{(-8- 4)^2 + (6 - 6)^2}[/tex]
[tex]d = \sqrt{(-12)^2}[/tex]
[tex]d = \sqrt{144}[/tex]
[tex]d = 12[/tex]
What is 1/9 of 9?
a) 1/9
b) 0
c) 1
d) 2
e) 3
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {c) \:1}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] = \frac{1}{9} \times 9\\[/tex]
[tex] = \frac{9}{9} \\[/tex]
[tex] = \frac{1}{1} \\[/tex]
[tex] = 1\\[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
Simplify 4(х + 7) - 7х + 2. А. 11х + 9 В. 11х + 30 с. -3х + 9 D. -3х + 30
whoever answer this first gets 30 points
Answer:
-3x+30
Step-by-step explanation:
[tex]4\left(x+7\right)-7x+2[/tex]
Expand [tex]4(x+7)= 4x+28[/tex]
[tex]4x+28-7x+2[/tex]
Simplify [tex]4x+28-7x+2[/tex]
[tex]-3x+30[/tex]
Find the area of this circle. Use 3 for pi. A = pi r2. radius is 15 ft so answer is [?] ft?
Answer:
675 sq feet
Step-by-step explanation:
Radius =15ft
Area = 3(15)^2
= 3(15)(15)
= 3(225)
=675 sq ft
Answer:
675
Step-by-step explanation:
We square r first, so 15 ^ 2 = 225.
Then multiply by pi, which is 3 for this problem. 225 x 3 = 675.
Therefore, the answer is 675.
can someone help me figure this out?
Answer:
Step-by-step explanation:
i dont know this I am sorry :(
Answer:
Tree C
Step-by-step explanation:
each of the charts/tables/paragraphs are talking about a different tree.
Tree A started with 5 inches, as it says.
Tree B started with 3 inches, as you can see under the 0 months.
Tree C, at the month 0 mark, has a height of 10 inches, so it started with 10.
10>5 and 10>4, so Tree C is the biggest
How many terms are in this expression 4+3c
Answer: there are 2 terms
Step-by-step explanation: A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. ... Examples of single terms: 3x is a single term.
2 terms
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
Move point b some more as you move point b the angle formed between ab and cd varies if you want to make an perpendicular to cd what do you need to do explain in terms of BEC
Answer:
Following are the response to the given question:
Step-by-step explanation:
Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.
Write "five thousand six hundred eighty-five and twelve hundredths" in expanded form
Answer:
56851200
Step-by-step explanation:
The expanded form of the number is 5000 + 600+ 80 + 5 + 0.1 + 0.02 and the number is 5685.12
What is number?A number is a mathematical entity that can be used to count, measure, or name things. For an example, 1, 2, 56 etc. are the numbers.
It is given that:
The word expression:
"five thousand six hundred eighty-five and twelve hundredths"
The number would be:
= 5685.12
In the expanded form the number can be written as:
The expanding form can be used to indicate the value of each digit in a number in arithmetic.
Numbers that are expressed as the sum of each digit multiplied by its place value are known as expanded numbers.
Expanded Form:
5685.12 = 5000 + 600+ 80 + 5 + 0.1 + 0.02
Thus, the expanded form of the number is 5000 + 600+ 80 + 5 + 0.1 + 0.02 and the number is 5685.12
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Need more help again
Answer:
QSR = 68º
Step-by-step explanation:
TSQ + QSR = TSR
15x + (10x - 2) = 173
Combine like terms
25x = 175
Divide both sides by 25
x = 7
QSR = 10x - 2
QSR = 10(7) - 2
QSR = 68º
Is -14 greater than less than or equal to -3
Answer:
less than is the correct answer
At the beginning of the school year, Liya's goal was to earn an A on
at least 85% of her 60 quizzes for the year. She earned an A on 35 of the first 40
quizzes. If she is to achieve her goal, on at most how many of the remaining
quizzes can she earn a grade lower than an A?
A: 1
B: 2
C: 3
D: 4
E: 5
Answer:
4
Step-by-step explanation:
If 15% of quizzes don't have to be A's, that means that its 9 quizes that can be lower than an A. She already lost 5 which means she has four left.
Answer:
D; 4
Step-by-step explanation:
Step 1:
Let us figure out exactly how many As Liya has to earn for the year. We must find 85% of 60:
[tex]85 \%\ of\ 60=\\\frac{85}{100}*\frac{60}{1}=\\\frac{85}{5} *\frac{3}{1} =\\17*3=\\51[/tex]
Liya must earn 51 As this year to reach her goal. This also means that she can earn 9 grades lower than an A to still reach her goal ([tex]60-51=9[/tex]).
Step 2:
So far, Liya has earned 35 As out of 40 tests in total. This means that so far, Liya has earned 5 test grade lower than an A:
[tex]40-35=5[/tex]
In total, Liya can only have 9 grades lower than an A. Therefore:
[tex]9-5=\fbox{4}[/tex]
Liya can only earn [tex]\fbox{4}[/tex] grades lower than an A in the remaining quizzes.
I hope this helps! Let me know if you have any questions :)
what is the circumference of a circle diameter of 6 feet?use 3.14 for n
Answer:
18.84 feet.
Step-by-step explanation:
The formula for the circumference of a circle is:
2Pi*radius
The radius would be half the diameter so 3.
2*3.14*3
PLZZZ HELPPPP!!!!!!!!!!!!!!
Answer:
$205.60
160(1.135)+ 160(.15)
Step-by-step explanation:
answer choices:
A.) 31
B.) 41
C.) 19
D.) 35
Answer:
A
Step-by-step explanation:
If lines are parallel and intersected by another line then there are 2 alternating angles between them.
Kelsey is solving the inequality 17+4<9 17 + 4 x < 9 . To solve the inequality, she begins by solving the equation as shown. Which number line represents the solution to the inequality? 17 + 4 x = 9. Subtract 17 from both sides. 4 x = negative 8. Divide both sides by 4. X = negative 2. CLEAR CHECK A number line going from negative 10 to positive 10. A closed circle is at negative 2. A number line going from negative 10 to positive 10. Closed circles are at negative 4, negative 3, negative 2, negative 1, 0. A number line going from negative 10 to positive 10. An open circle is at negative 2. The line is shaded to the right of the circle. A number line going from negative 10 to positive 10. An open circle is at negative 2. The line is shaded to the left of the circle.
Answer:
an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle (since the sign is "left than")
Step-by-step explanation:
Given the inequalities
17+4x < 9
Subtract 17 from both sides
17+4x -19 < 9 - 17
4x < -8
Divide both sides by 4
4x/4 < -8/4
x < -2
To represent the solution on a number line, an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle.
Which statement is true regarding the graphed functions?
Answer:
they intersect at 0,-2
At a grocery store, you want to buy lb of 2 1/2cheese What decimal should the digital scale show
Answer:
The tenths place.
Step-by-step explanation:
If you want to buy 2 1/2 lb of cheese, you want to buy 2.5lbs. The tenths place is the first place after the decimal, and the place the scale needs to show to show you 2.5lbs.
Answer:
tenths place
Step-by-step explanation:
The perimeter of parallelogram ABCD is 96cm. AD is 9 cm more than twice AB. Find the lengths of all four sides of ABCD.
Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Step-by-step explanation:
Given
ABCD is a parallelogram
Side AD is 9 cm more than twice AB i.e.
[tex]AD=9+2AB[/tex]
Also, for parallelogram
[tex]\Rightarrow AB=CD,BC=CD[/tex]
Perimeter is the sum of the sides
[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]
So, [tex]AD=35\ cm[/tex]
Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Answer: AB=11
AD=31
BC=31
CD=11
Step-by-step explanation:
please help :))))))))
Change the negative exponent to a positive exponent
Answer:
[tex] \frac{1}{ {6}^{8} } [/tex]
Step-by-step explanation:
when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power
Example: 5^-2 = 1/5^2
How much longer is path c than path d?
Answer:
1000
Step-by-step explanation:
the math
which type of conic section is represented by the equation y = (x-10)^2 - 5?
Answer:
That's a parabola
explanation:
Use the law of sines to find the measure of angle C.
Here, if you use the law of sines, you cannot find the measure of the required angle. But if you use the law of cosines, you will get the desired result.
The measure of the angle C of the given triangle is 43.61°
What is the law of cosines?According to the law of cosine, the square of any one side of a triangle is equal to the difference between the squares of the other two sides and double the product of the other sides and cosine angle added together between them. If AB, BC, and CA are lengths of the three sides of a triangle, then using the law of cosine, we can write
AB² = BC² + CA² - 2(BC)(CA)cos C.
How to solve this problem?Here, AB = 16, BC = 22, and AC = 21.
Now, 16² = 22² + 21² - 2 * 22 * 21 * cos C
i.e. 256 = 484 + 441 - 924 * cos C
i.e. 256 - 925 = - 924 * cos C
i.e. - 669 = - 924 * cos C
i.e. cos C = 669/924 = 0.724
i.e. C = cos⁻¹(0.724) = 43.61
Therefore the measure of the angle C of the given triangle is 43.61°
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It takes a train 8 hours to travel a distance of 216 km. What is the average speed of the train?
(S=D/T)S=216KM, T=8HOURS : 216/8=27KM/HOUR
The average speed of the train is 27 km/hour if It takes a train 8 hours to travel a distance of 216 km.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
It takes a train 8 hours to travel a distance of 216 km.
As we know,
Average speed = distance/time
Average speed = 216/8 = 27 km/hour
Thus, the average speed of the train is 27 km/hour if It takes a train 8 hours to travel a distance of 216 km.
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need help with this Q&A 5
Answer:
C
Step-by-step explanation: