Answer:
(a)x(a^2+2a-3)+5(a^2+2a-3)
plz help me solving this question
Answer:
Step-by-step explanation:
3) Surface area of cube = 6a² where a is side of the cube.
a) a = 6 cm
Surface area of cube = 6 * 6*6 = 216 cm²
b) a = 4.5 cm
Surface area of cube = 6 * 4.5 * 4.5 = 121.5 cm²
4) Area of cuboid = A = 2(lb + bh + hl)
a) l = 10 cm ; h = 6 cm ; A = 376 cm²
A = 376
2(lb + bh + hl) = 376
2(10b + 6b + 60) = 376
2*( 16b + 60) = 376
2*16b + 2*60 = 376
32b + 120 = 376
32b = 376 - 120
32b = 256
b = 256 / 32
b = 8 cm
5) Surface area of cube = 150 cm²
6a² = 150
Divide both sides by 6
a² = 150/6
a² = 25 = 5*5
a = 5 cm
6) l = 15 cm ; b = 12 cm ; h = 10cm
Lidless. so area of top portion is not included
Surface area of lidless cuboid = 2(hb + hl) + lb
= 2*(10*12 + 10*15) + (15*12)
= 2*(120 + 150) + 180
= 2* 270 + 180
= 540 + 180
= 720 cm²
Step-by-step explanation:
Q5:Find the length of each side of the cube whose Total surface area are given below:
(B)2400cm^2
Solution:
T.S.A= 6a^2 [ we have to find a]
2400=6a^2
2400/6=a^2
400=a^2
a=squareroot of 400
=20
So, 20cm is the length of a cube.
x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?
Answer:
a + b =1
Step-by-step explanation:
Write the given quadratic as x^2 – 1x – 90 = 0. This factors into
(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.
If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.
whats the gcf of 50,40
whats the gcf of 14,56,63
9514 1404 393
Answer:
107Step-by-step explanation:
The GCF can be no larger than the difference between the numbers. That would be the first value you want to check to see if it is a factor of the numbers.
GCF(40, 50)The difference is 10, which is a factor of both 40 and 50.
GCF(40, 50) = 10
__
GCF(14, 56, 63)You can figure the GCF pairwise, as GCF(14, 56) = 14; then GCF(14, 63) = 7. Or, you can look at the smallest difference between any pair of numbers. Here, that is 63 -56 = 7, which is a factor of all three numbers.
GCF(14, 56, 63) = 7
_____
Additional comment
Euclid's algorithm has you compute the remainder from division of the largest by the smallest. When that remainder is non-zero, it replaces the largest, and you repeat. When the remainder is zero, the smallest is the GCF.
For example, let's look at the GCF of 14 and 63.
63/14 = 4 r 7
14/7 = 2 r 0 . . . . . 7 is the divisor, so is the greatest common factor
Cual es la raiz cudrada de 2
Answer:
1.4142135
Step-by-step explanation:
the height of the glass is 7cm and
the radius is 3cm If the glass is
half fill with water what will be
the answer
Solve the equation. Then check your solution.
x - 4 = 2
a.–6
c.7
b.6
d.–2
Please select the best answer from the choices provided
A
B
C
D
Answer:
b) 6
Step-by-step explanation:
x - 4 = 2
x = 2 + 4
x = 6
Given a dilation around the origin, what is the scale factor K?
D o, K = (2,4) → (3,6)
Answer:
It is 3/2, I got it right on my exam.
Step-by-step explanation:
Dilation is a transformation that allows you to resize an object. The dilation factor of the given point is 3/2.
What is dilation?Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.
Given the dilation of the k around the origin as K = (2,4) → (3,6), therefore, the point k is dilated 1 unit to the right and 2 units upwards.
Let the dilation factor be represented by a, then,
2 × a = 3
a = 3/2
Similarly for the y-axis,
4 × a = 6
a = 6/4 = 3/2
Hence, the dilation factor of the given point is 3/2.
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What is the area of the obtuse triangle below?
9
다.
11
O A. 49.5 sq. units
OB. 99 sq. units
C. 10 sq. units
D. 20.5 sq. units
Answer:
49•5
Step-by-step explanation:
A= hb×b÷2
given
hb=height=9
b=base=11
The area of the triangle will be 49.5 square units. Then the correct option is A.
What is the area of the triangle?Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,
A = (1/2) × h·b
The height of the triangle is 9 units and the base of the triangle is 11 units. Then the area of the triangle is calculated as,
A = 1/2 x 11 x 9
A = 11 x 4.5
A = 49.5 square units
The area of the triangle will be 49.5 square units. Then the correct option is A.
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Please help explanation if possible
Answer:
(-4, -1)
Step-by-step explanation:
The solution to the system of equations on a graph is the point in which they intersect. Therefore, the solution is (-4, -1).
Help pls will give brainliest
Answer:
hello,
answer C
Step-by-step explanation:
area of the rectangle=2b*b=2b²
area of the half cercle= [tex]\\\dfrac{\pi*(\frac{c}{2})^2}{2} =\dfrac{\pi*c^2}{8} \\[/tex]
Area in blue= 2b²-πc²/8
For several weeks, the function f(x) = 3(4)* represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
A. The number quadrupled each week.
B. The number increased by 4 each week.
C. The number increased by a factor of 3 each week.
D. The number increased by 3 each week.
SUBMI
need help pleaseee!!!
Answer:
it should be the third option
Step-by-step explanation:
I hope this help
I need help i tried to do this but can't get it.
Answer: x=5, y=-1
Hope this helps
Which function is increasing?
Answer:
A, it's the only one with a number greater then 1
Find the value of x.
A. 75
B. 80
C. 57
D. 40
Answer:
80
Step-by-step explanation:
since a=40
40x2 is 80
The value of x is 80 which is the correct answer would be an option (B)
What are the Angles of Intersecting Secants Theorem?Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.
Given that angle ∠a = 40°
∠x = 2∠a
Substitute the value of ∠a = 40°
∠x = 40×2
∠x = 80°
Hence, the value of x is 80 degree
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A certain city garden has 64 flowers and 24 decora-
tive shrubs planted. The garden planner wants to
plant more flowers until the ratio of flowers to
shrubs is 12:1. How many more flowers will the
garden planner need?
Answer:
224 more flowers
Step-by-step explanation:
If the planner wants the ratio of flowers to shrubs to be 12:1, that means there will be 12 times as many flowers as shrubs.
Find what 12 times the number of shrubs is:
24(12)
= 288
So, the planner will need 288 flowers in total.
Find how many more he needs to plant by subtracting the current amount of flowers from 288:
288 - 64
= 224
So, the garden planner will need 224 more flowers.
757divide 100=to in hours and minutes
Answer:
Step-by-step explanation:
757 minutes = 12 hours 37 minutes
can someone pls help me
On the last option, since you can substitute y=3x+1 into the other equations to solve for x.
The cross-section of a searchlight mirror is shaped like a parabola. The light bulb is located 3 centimeters from the base along the axis of symmetry. If the mirror is 20 centimeters across at the opening, find its depth in centimeters. (Round your answer to the nearest tenth if necessary.)
The depth of the mirror of the cross-section of a searchlight would be 8.33 cm if the light bub has a vertex at 3 cm and the mirror is 20 centimeters across at the origin.
A cross-section is perpendicular to the axis of the symmetry goes through the vertex of the parabola. The cross-sectional shape of the mirrored section of most searchlights or spotlights is parabolic.
It helps in maximizing the output of light in one direction.The equation of the cross-section of the parabola is - [tex]y^{2} = 4ax[/tex], where a is the focus and x is the depth of the mirror from its origin.Given:
a = 3
y = [tex]\frac{20}{2}[/tex] cm = 10 cm
Solution:
from the equation [tex]y^{2} = 4ax[/tex]
[tex]y^{2} = 4*3*x\\ y^{2} = 12x[/tex]
putting x, 10 cm in the equation
[tex]x=\frac{10^{2} }{12} \\\\x= \frac{100}{12} \\\\x= 8.33 cm[/tex]
thus, the depth of the mirror would be - 8.33 cm
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The U.S. Mint produces quarters that weigh about 5.67 grams each. After the
quarters are produced, a machine weighs them. If the quarter weighs 0.02 gram more
or less than the desired weight, the quarter is rejected. Write and solve an equation to
find the heaviest and lightest quarters the machine will approve.
[tex]\to \bold{|x-5.67|=0.02}\\\\[/tex]
heaviest[tex]\bold{=5.69\ g\\\\}[/tex]
lightest[tex]\bold{=5.65\ g\\\\}[/tex]
Evaluating each expression:
[tex]\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}[/tex]
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convierte los decimales a fracción:
a) 3, 1233333 =
b) 4, 3855555 =
c) 37, 22222 =
d) 16, 2929292929 =
e) 2, 33333333 =
(a) Let x = 3.12333…. Then 100x = 312.333… and 1000x = 3123.333…, so that
1000x - 100x = 3123.333… - 312.333…
==> 900x = 2811
==> x = 2811/900 = 937/300
(b) x = 4.38555… ==> 100x = 438.555… and 1000x = 4385.555…
==> 900x = 3947
==> x = 3947/900
(c) x = 37.222… ==> 10x = 372.222…
==> 9x = 335
==> x = 335/9
(d) x = 16.292929… ==> 100x = 1629.292929…
==> 99x = 1613
==> x = 1613/99
(e) x = 2.333… ==> 10x = 23.333…
==> 9x = 21
==> x = 21/9 = 7/3
What percentage is 150 grams of 400 grams?
1 %
Answer:
37.5%
Step-by-step explanation:
150/450 = .375 = 37.5%
The percentage is 150 grams out of 400 grams will be 37.5%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
The percentage is given as,
Percentage (P) = [Initial value - Final value] / Initial value x 100
It is given that the difference between the initial and final value is 15 grams and the initial value is 400 grams.
Then the percentage is 150 grams out of 400 grams will be
P = (150 / 400) x 100
P = 0.375 x 100
P = 37.5%
Thus, the percentage is 150 grams out of 400 grams will be 37.5%.
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Find the X intercepts of the equation f(x) = x^2 - 6x + 6
Answer:
x-intercepts = (x ≈ -0.87), (x ≈ 6.87)
Step-by-step explanation:
let x = 0, in equation for x-intercepts
solve for x using the
quadratic formula
x = −6 ± √ 36 + 24
2x
= −6 ± √60
−2x
= −6 ± 2 √ 15
−2 = 3 ± √15
HELP ASAP
THANK YOU!!!
Answer:
C
Step-by-step explanation:
The function C has a range of (-infinity, a] and domain [b, infinity)
Which of the following could be trigonometric functions of the same angle?
Answer:
i think
third option is correct.
cosY = 8 / 17, cotY = 8 / 15, secY = 17 / 8 is the required trigonometric functions of the same angle. Option C is correct
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
cosY = 8 / 17, cotY = 8 / 15, secY = 17 / 8
Is the trigonometric function of the same angle,
cosY = 1 / SecY
8 / 17 = 1 / secY
secY = 17 / 8
Now,
P = √[17² - 8²]
P = 15
CotY = 8 / 15
Thus, trigonometric functions in option C are of the same angle.
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what is the mass of raisins in a package
Answer:
Step-by-step explanation:
12
What is the 6th term in the geometric sequence described by this explicit
formula?
an= 3.4(n-1)
Answer:
The 6th term is 3072.
Step-by-step explanation:
The slopes of two lines. Determine the value of ‘a’ that will make the lines
parallel
and perpendicular
3/4 + 4/7 + 3/4
plz help
Answer:
29/14
Step-by-step explanation:
Start by working out the LCM of these (or any common denominator). A common denominator for 4 and 7 is 28 cuz 4 x 7 = 28.
3/4 = 21/28
4/7 = 16/28
3/4 = 21/28
(21+16+21)/28 = 58/28 which can simplify to 29/14
hi
Golden rule : you can only add or substract fraction if and only if they have the same denominator.
so two solutions :
you see that one denominator is a multiple of the second. so you multiply all the fraction by this multiple.
ex : 1/3 + 5/6
here I can easely convert 1/3 into a fraction with 6 as 6 is 3x2.
so : 1x2 = 2 and 3x2 = 6
1/3 is 2/6
so. 1/3 +5/6 = 2/6 +5/6
fraction have same denominator, I add numerators : 2/6 +5/6 =7/6
if it not that evident, you multiply fraction A up and down by denominator of fraction B.
and you multiply up and down fraction B by denomonator of fraction A
let' s see with your exemle :
3/4 +4/7+3/4 = ?
first I add fraction with same denominator :
3/4+3/4+4/7 = 6/4 +4/7
fraction A is 6/4.
I multiply up and down by denominator fractiok B which is " 7"
so. 6/4 = 6x7/4×7 = 42/28
let's apply method to fraction B whixh is 4/7 . let' multiply up and down by denominator of fraction A which is " 4"
so : 4/7 = 4x4 /7x4 = 16/28
now we have :
6/4 +4/7 = 42/28 +16/28
both my fractions have same denominator "28" so I add numerator :
42/28 +16/28 = 58/28
Now must wonder if 58/28 can be simplify. Good trick is to decompose numbers, and in prime number is the best way to do
58 = 2x29
28 = 7x2x2
so 58/28= (2×29)/ (7x2x2)
when there is same number up and down I can cross it out .
so here one "2" up and down can be rule out
so 58/28 = 2x29 /7×2×2 = 29/7x2 =29/14
I can not symplify more, so calculus is over.
in short :
3/4+4/7+3/4 = 6/4+4/7
= 42/28 +16/28
=58/28
= 29/14
QUICK PLZ!!!!! Which graph shows the result of dilating this figure by a factor of One-third about the origin? On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6). On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2). On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18). On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answer:
[tex]A' = (-2,2)[/tex]
[tex]B' = (2,2)[/tex]
[tex]C' = (2,-2)[/tex]
Step-by-step explanation:
Given
[tex]A = (-6,6)[/tex]
[tex]B = (6,6)[/tex]
[tex]C = (6,-6)[/tex]
[tex]k = \frac{1}{3}[/tex]
Required
The new coordinates
To do this, we simply multiply the coordinates of [tex]\triangle ABC[/tex] by the factor of dilation.
i.e.:
[tex]A' = A * k[/tex]
[tex]B' = B * k[/tex]
[tex]C' = C * k[/tex]
So, we have:
[tex]A' = (-6,6) * \frac{1}{3}[/tex]
[tex]A' = (-2,2)[/tex]
[tex]B' = (6,6) * \frac{1}{3}[/tex]
[tex]B' = (2,2)[/tex]
[tex]C' = (6,-6) * \frac{1}{3}[/tex]
[tex]C' = (2,-2)[/tex]
