Answers
Answer:
4
Step-by-step explanation:
Break down the shape into a rectangle and a triangle
To find the base of the triangle subtract
(3x-1)-(x+1)= 2x-2
which means the area of the triangle is
.5(2x-2)(x-1)= x²-2x+1
Let's then find the area of the rectangle
(x+1)(x-1)= x²-1
Take the sum and set this equal to 40
(x²-2x+1)+(x²-1)=40
simplify...
2x²-2x-40=0
x²-x-20=0
(x-5)(x+4)=0
Reject the negative answer and get x=5
Then it's just a matter of plugging in x=5 for the height (x-1)
5-1=4 which is the final answer
Answer:
4 cm.
Step-by-step explanation:
Area formulas:
A(Rectangle) = bh
A(Triangle) = 1/2bh
A(Trapezium) = A(Rectangle) + A(Triangle)
Use the information given and substitute the values to solve for the missing height:
A(Rectangle) + A(Triangle) = A(Trapezium)
bh + 1/2bh = 40
(x + 1)(x - 1) + 1/2(2x - 2)(x - 1) = 40
x² - 1 + x² - 2x + 1 = 40
2x² - 2x = 40
2x² - 2x - 40 = 0
Use Quadratic Formula to solve for x:
a = 2, b = -2, c = -40
x = (-b ± √(b² - 4ac))/2a
x = (-(-2) ± √((-2)² - 4(2)(-40)))/2(2)
x = (2 ± 18)/4
x = 5 and x = -4
Since we cannot have a negative height, we use x = 5:
h = (5) - 1 = 4
Therefore, the height of the trapezium is 4 cm.
Related Questions
6.perimeter of the given shape above is
a) 20 feet
b) 40 feet
c) 30 feet
d) 25 feet
e) 10 feet
Answers
One side is 14 feet and the other is 6. Since it is a rectangle and a rectangle has four sides, we need to take 14 and multiply it by 2. That will get us 28. Same thing apply for the other side. 6 multiplied by 2 is 12. And if we take our 2 numbers which are 28 and 12 and we add them up, our Perimeter is 40.
Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)
first ,length(l)=14 feet,
bredth(b)=6feet.
now, perimeter = 2(l+b)
=2(14+6)
= 2×20
= 40 feeet
Hope this helps you....
question 2.
the center of a circle is located at (5,2) and a point in the circle is (-3,4) what is the radius of the circle?
Answers
Answer:
ss
Step-by-step explanation:
sas
The radius of the circle who center is at ( 5 , 2 ) and the point on the circle is ( -3 , 4 ) is given by r = 2√17 units
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circle be r
Let the center of the circle be A ( 5 , 2 )
Let the point on the circle be P ( -3 , 4 )
Now , standard form of a circle is
( x - h )² + ( y - k )² = r²
So , r² = ( 5 - ( -3 ) )² + ( 2 - 4 )²
On simplifying the equation , we get
r² = ( 8 )² + ( 2 )²
r² = 64 + 4
r² = 68
Taking square roots on both sides , we get
r = √68
r = 2√17
Hence , the radius of the circle is 2√17 units
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mich inequalities are true?
√5 <2.3 < 56
√5 <2.4 < 56
74 < 5 5.5
√3 <3 <3
V8 <2.9
√A <4.5 < 5
Which sets of inequalities are true
Answers
Answer:
[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]
[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]
[tex](e)\ \sqrt 8 <2.9[/tex]
[tex](f)\ \sqrt5 <4.5 < 5[/tex]
Step-by-step explanation:
Required
Which are true
[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]
Take square root of 5
[tex]2.2 <2.3 < 56[/tex] --- This is true
[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]
Take square root of 5
[tex]2.2 <2.4 < 56[/tex] --- This is true
[tex](c)\ 7.4 < 5 <5.5[/tex]
This is false because [tex]7.4 > 5[/tex]
[tex](d)\ \sqrt 3 <3 <3[/tex]
This is false because [tex]3 = 3[/tex] not [tex]3 < 3[/tex]
[tex](e)\ \sqrt 8 <2.9[/tex]
Take square root of 8
[tex]2.8 <2.9[/tex] --- This is true
[tex](f)\ \sqrt5 <4.5 < 5[/tex]
Take square root of 5
[tex]2.2 <4.5 < 5[/tex] --- This is true
A researcher shows Trey two containers of the same size, both containing the same amount of marbles. The researcher pours one container of marbles into container that is taller, but smaller in diameter so the level of marbles is higher than in the other container. When the researcher asks Trey which container has more marbles, Trey points to the taller, thinner container. What type of task has Trey been tested on
Answers
Answer:
Conservation
Step-by-step explanation:
Conservation is the principle that an object maintains the same size and shape even if it is repositioned or divided in certain ways.
Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines. Then she cuts off 5 of the sections to make into placemats. What fraction of the fabric is left?
Answers
Answer:
3/8
Step-by-step explanation:
Let us represent the total fabric as an integer = 1
Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.
= 1/8, hence each section = 1/8
Then she cuts off 5 of the sections to make into placemats.
This is written as: 5 sections × 1/8 = 5/8
The fraction of the fabric that is left is calculated as:
1 - 5/8
Lowest Common Denominator = 8
Hence: 8 - 5/8 = 3/8
The fraction of the fabric that is left is 3/8
the slope of the line below is -5/7 write a point slope equation of the line using the coordinates of the labeled point (6,2)
Answers
What is the value of this expression when g=-3.5?
8-12g-5
Answers
Answer:
45
Step-by-step explanation:
8-12(-3.5)-5
8+42-5
=45
solve for x, show work please! 25 points.
Answers
Answer:
C
Step-by-step explanation:
8x + 2 = 7x + 8
<=> 8x - 7x = -2 + 8
<=> x = 6
Answer:
Option CStep-by-step explanation:
Here,
8x + 2 = 7x +8 [Since Alternate interior angle]
=> 8x - 7x = 8 - 2
=> x = 6 (Ans) (Option C)
It doesn’t give options so I can’t guess
Answers
Answer:
x = 135
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
125 = x-10
Add 10 to each side
125+10 = x
135 =x
The function A(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. A(b)=14xb+5/2 Which equation below represents the inverse function B(a), which takes the trapezoid's area as input and returns as output the length of the other base? A. B(a)+a/7+5 B. B(a)=a/5-7 C. B(a)=a/7-5 D. B(a)=a/5+7
Answers
Answer:
[tex]b(a) =\frac{a}{7} -5[/tex]
Step-by-step explanation:
Given
[tex]A(b) = 14 * \frac{b + 5}{2}[/tex]
Required
Determine the inverse function b(a)
Write A(b) as a
[tex]a = 14 * \frac{b + 5}{2}[/tex]
Swap a and b
[tex]b = 14 * \frac{a + 5}{2}[/tex]
[tex]b = 7(a + 5)[/tex]
Divide both sides by 7
[tex]a + 5 = \frac{b}{7}[/tex]
Maka a the subject
[tex]a =\frac{b}{7} -5[/tex]
Swap a and b again
[tex]b =\frac{a}{7} -5[/tex]
Hence:
[tex]b(a) =\frac{a}{7} -5[/tex]
Need help rn please
Geometry
Answers
Answer:
Step-by-step explanation:
9). Dimensions of the logo = 4 inch by 6 inch
∵ 12 inches = 1 feet
∴ 1 inch = [tex]\frac{1}{12}[/tex] feet
Therefore, dimensions of the logo (in feet) will be,
[tex]\frac{4}{12}[/tex] feet by [tex]\frac{6}{12}[/tex] feet Or [tex]\frac{1}{3}[/tex] feet by [tex]\frac{1}{2}[/tex] feet
Dimensions of the logo which are 6 times larger than the original one.
Dimensions of the advertisement = [tex]\frac{6}{3}[/tex] feet by [tex]\frac{6}{2}[/tex] feet
= 2 feet by 3 feet
Area of the advertisement = 2 × 3
= 6 feet²
10). By the property of similar polygons,
"Corresponding sides of two similar polygons are proportional"
If the dimensions of two similar polygons are 'x' and 'kx'
Ratio of the perimeter of two polygons = [tex]\frac{\text{Perimeter of the image polygon}}{\text{Perimeter of the original polygon}}[/tex] = k
Ratio of area of two similar polygons = [tex]\frac{\text{Area of the image polygon}}{\text{Area of the original polygon}}[/tex] = k²
Ratio of volumes of two similar polygons = [tex]\frac{\text{Volume of the image polygon}}{\text{Volume of the original polygon}}[/tex] = k³
tính đạo hàm của y=2x-1-căn3x-0
Answers
Answer:
The derivative is
[tex]\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\[/tex]
Step-by-step explanation:
The function is given by
[tex]y = 2x - 1 - \sqrt {3x}[/tex]
Differentiate with respect to x, we get
[tex]\frac{dy}{dx} = 2 - 0 - \frac{2\sqrt3}{\sqrt x}\\\\\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\[/tex]
what is the scale factor from figure a to figure b
Answers
Scale factor from figure a to figure b = DIVIDE BY 3
{Check:- 33/3 = 11 & 15/3 = 5}
hope this helps :)
Answer:
1/3
Step-by-step explanation:
These two quadrilaterals are similar because figure A's sides are 3 times figure B's sides. Figure A's bottom is 15, while figure B's bottom is 5. To get from 15 to 5, we multiply by 1/3. This is the scale factor. All the other sides of figure A are also 3 times bigger than figure B's.
Using the graph, determine the coordinates of the vertex of the parabola.
Answers
Answer:
The coordinates of the vertex is (6,4).
Step-by-step explanation:
The vertex is the highest or lowest point on the parabola (curved line).
If 12 rolls of toilet paper cost $4 how many rolls of toilet paper can you buy for $8?
Answers
Answer:
24 rolls
Step-by-step explanation:
12 rolls x rolls
------------ = ------------------
4 dollars 8 dollars
Using cross products
12*8 = 4x
96 = 4x
Divide by 4
96/4 = 4x/4
24 =x
24 rolls
The terminal side of 0 is in quadrant II and cos 0 = -5/13. What is sin 0?
Answers
Answer:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos\theta =-\frac{5}{13}\text{ where $\theta$ is in QII}[/tex]
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using the Pythagorean Theorem, solve for the opposite side (we can ignore the negative for now):
[tex]o=\sqrt{13^2-5^2}=12[/tex]
And since θ is in QII, sine is positive, and cosine and tangent are both negative.
Sine is the ratio of the opposite side to the hypotenuse. Therefore:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
Hope it helps!
Use the drop-down menus to answer the questions. What is the value of 6 in 16,000 after dividing by 1,000? What is the value of 9 in 1,900 after dividing by 100? What is the value of 8 in 81,500 after dividing by 10?
Answers
Answer:
if you divide 1000, 100 and 10 in 16000 , 1900 and 81500 then the value of 6 and 9 is at once place and value of 8 is at thousand place
Answer:
6, 9 & 8150
Step-by-step explanation:
16,000 ÷ 1000 is 6
1900÷100 is 9
81,500÷10 is 8150
please help me its due nowww
Answers
The angles represented by (2x - 60) and (60 - 2x) cannot be supplementary because their sum add up to zero instead of 180°.
SOMEONE HELP ME ASAP IM STRESSING OUT
Answers
Answer:
Use SOHCAHTOA
Step-by-step explanation:
If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.
Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.
Sin(54) = 12.2 / hypotenuse
Sin(54) * hypotenuse = 12.2
Hypotenuse = 12.2 / sin(54) = 15.1
Now for Part B
Finding the last angle
180-90-54=36
So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function
Tan(36) = opp / 12.2
opp = tan(36) * 12.2 = 8.9
You can double check these answers using pythagorean theorem. Hope this helps
deepak wrote out the steps to his solution of the equation 5/2-3x-5+4x=-7/4
Answers
Answer:
x = 3/4
Step-by-step explanation:
5/2-3x-5+4x=-7/4
Combine like terms
-10/2 + 5/2 +x = -7/4
-5/2+ x = -7/4
Add 5/2 to each side
-5/2+5/2 +x = -7/4 + 5/2
x = -7/4+5/2
Get a common denominator
x = -7/4 + 10/4
x = 3/4
helppppppppppppppppppppppppp
Answers
Answer:
C
Step-by-step explanation:
11 times 11 = 121
11 times 12 equals 132
11 times 13 = 143
Answer:
13
Step-by-step explanation:
11x13 is 143 heidnehf
hi dev lol hahahahhahahahahahahahahahahahahaha
Answers
Answer: hi
Step-by-step explanation: siodrifjojseidufjsoidhfidshiufhoiersdnfiojdriofjoiedsjfpoiejdpoigheroiuhgoiutrhfbiukghvioruefdhgbiuktrhdfiougkhneoiuwhsrdtifu[tex]\lim_{n \to \infty} a_n \geq \alpha \leq \sqrt{x} \\ \pi \geq \lim_{n \to \infty} a_n \left \{ {{y=2} \atop {x=2}} \right. x^{2} \frac{x}{y} \frac{x}{y}[/tex]
Answer:
oh no
Step-by-step explanation:
⇔⇔∈∈ω∵↑↑±±±±±±±[tex]\lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \neq \neq \neq \neq \neq \neq \neq x^{2}[/tex]←⊂∈∈∈∈∈ωωωωωωωωωωωωωωωω∧∨∧∧∧∧Plz help me!!!!!!!!! Whoever solves correct will mark brainlist
Answers
Answer:
in picture
Step-by-step explanation:
Brainliest please~
to multiply two fractions multiply the numerator by the and the denominator by the
Answers
Answer:
Multiply the numerator by the numerator and the denominator by the demoninator.
Step-by-step explanation:
Answer:
Nope, to multiply two fractions = numerator × numerator / denominator × denominator
Step-by-step explanation:
For Example:
[tex]\frac{5}{3}[/tex] × [tex]\frac{8}{2}[/tex]
Multiply 5 by 8
40
Multiply 3 by 2
6
Result: [tex]\frac{40}{6}[/tex]
Finally Simplify
[tex]\frac{40}{6} =[/tex] [tex]40[/tex] ÷ 6 = [tex]6\frac{4}{6}[/tex] or 6.6 as a decimal
GIVEN: f(x)=3x-7, g(x)=2x^(2)-3x+1, h(x)=4x+1, k(x)=-x^(2)+3
FIND: (hg)(x)
a. 2x^2+x+2
b. none of these answers
c. 32x^2+4x
d. 8x^2-12x+5
Answers
Answer:
32x^2+4x
3x-7, g(x)=2x^(2)-3x+1, h(x)=4x+1, k(x)
help me pls due in 49 mins
Answers
Answer:
Step-by-step explanation:
cos(c)= x/ac
ac = cos32/9.4
ac =11.08
Answer:
Step-by-step explanation:
sin(58/9.4 = sin(90)/AC
AC= 11.08
f(x)=15x³+22x²-15x+2
Write f(x) as a product of linear factors.
Answers
Answer:
[tex](5x - 1)(3x - 1)(x + 2)[/tex]
Step-by-step explanation:
[tex](15 {x}^{3} + 22 {x}^{2} - 15x + 2)[/tex]
Apply Rational Root Theorem, our possible roots will be
plus or minus( 2/15, 2/5,2/3,2, 1/15,1/5,1/3,1).
I
I tried root -2 and it work so
If we apply synthetic dividon, we would be left with
[tex]15 {x}^{2} - 8x + 1[/tex]
We can factor this regularly.
Apply AC method that a number
AC will multiply to 15 but add to -8.
The answer are -5 and -3 so we write this as
[tex]15 {x}^{2} - 5x - 3x + 1[/tex]
Factor by grouping
[tex](15x {}^{2} - 5x) - (3x + 1)[/tex]
[tex]5x(3x - 1) - 1(3x - 1)[/tex]
So our factor are
[tex](5x - 1)(3x - 1)(x + 2)[/tex]
What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school
Answers
Answer:
29%
Step-by-step explanation:
From the two way table given : the relative frequency of boys among those who cannot bike to school ;
Here, we are only concerned with thilose who cannot Bikento school and not all of the data :
The relative frequency of boys among those who cannot bike to school is :
Number of boys who can't bike to school / total number of people who can't bike to school
Number of boys who can't bike = 4
Total who cannot bike = 14
Hence, 4 /14 = 0.2857142
0.2857142 * 100% = 28.57% = 29% (nearest percent)
t has a value of 5/2. p is the sum of t and v, and p has a value of 0. What is the value of v?
Answers
Answer:
Step-by-step explanation:
If p = t + v and t is 5/2 and p is 0, then
0 = 5/2 + v and
v = -5/2
What’s the value of x?
G
53°
45
H
x°
Answers
Answer:
x = 98°
Step-by-step explanation:
95 + 53 + (180 - x) = 180
148 + 180 - x = 180
328 - x = 180
328 - x + x = 180 + x
x + 180 = 328
x + 180 - 180 = 328 - 180
x = 98°
The required measure of the remote exterior angle x is 98°.
Given that,
A triangle has shown,
Where two remote interior angles with measures 45° and 53° are given and a remote exterior angle with measure x is given, we have to determine the value of x.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the angle?The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
There is a property of a triangle that, the sum of the remote interior angle is equal to the measure of the remote exterior angle. So,
x = 53 + 45
x = 98°
Thus, the required measure of the remote exterior angle x is 98°.
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