Answer:
m∠A = 135°
m∠C = 135°
Step-by-step explanation:
There are 540° in a pentagon.
You are given 3 90° angles
540-90(3) = 270
∠A and ∠C are congruent
270/2 = 135° each
another question I need help ! answer ASAP please .
Answer:
35
Step-by-step explanation:
Since we know the amounts of each vitamin per serving all we have to do is find the difference.
We do this by subtracting 90 from 125.
125 - 90 = 35
What is the largest integer $n$ such that $7^n$ divides $1000!$ ?
Answer:
The correct answer is
n = 3038
Step-by-step explanation:
Where we have;
We note that 1000! = An even number
Since Even × Even = even
Even × Odd = Even
Also, 7ⁿ is an Odd number since odd × odd = odd
Therefore 7ⁿ will divide 1000! with some fractions as follows;
1000! divided by 7ⁿ
When 7ⁿ = 1000!
log(7ⁿ) = log(1000!) = log(4.02×10²⁵⁶⁷)
n·log(7) = 2567.604
n = 2567.604/(log(7)) = 3038.23
Therefore, the largest integer n such that 7ⁿ divides 1000! = 3038
Which gives, 1000! ÷ 7³⁰³⁸ = 1.5733.
What is the approximate area of a circle show below?
The answer of this is C: 43
Answer:
C)43ft
Step-by-step explanation:
Area= pi*r(squared)
Pi*3.7(squared)=43.00
So answer=43pi(squared)
so 90/7 divided by 1 and three-fourths i keep trying but i keep getting a different answer what would be the best estimate
Answer:
see below
Step-by-step explanation:
90/7 ÷ 1 3/4
Change to an improper fraction
90/7 ÷ (4*1+3)/4
90/7 ÷7/4
Copy dot flip
90/7 * 4/7
360 /49
The exact answer is 7 17/49
To estimate I would round 49 to 50 and 360 to 350
350/50 is approximately 7 and since I rounded the numerator down and the denominator up, the answer would be a little higher
U 3 4
Lucy buys 7 kg of nuts to sell.
She pays £10 for the nuts.
Lucy puts all the nuts into bags.
She puts 350 g of nuts into each bag.
She then sells each bag of nuts for 75p.
Lucy sells all the bags of nuts.
Work out her percentage profit.
Answer: 50%
Step-by-step explanation:
I'm converting 7kg to grams to make it easier. So £10 = 7000g
£1 = 7000÷10 = 700g
700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g
She sells a bag of 350g for 75p.
Percentage profit=[tex]\frac{Change in cost}{original cost}[/tex] × 100
75p - 50p = 25p = change in cost
Percentage profit= [tex]\frac{25}{50}[/tex] × 100
= 50%
Can I please get help with this?
m<TSU=85°
please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
The function of fx has been transformed to give go. Witch of the following functions represent gx?
Answer:
Sorry your mouse is blocking the fx equation. Is it x squared? I can't help you if I can't see what the equation is I'm sorry
Step-by-step explanation:
given angle2 and angle 4 are vertical angels. prove angle 2 cong angle 4
Answer:
Use the Vertical Angles Theorem
Step-by-step explanation:
The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.
Answer:
See below.
Step-by-step explanation:
y = 2 is a polynomial function.
True or false
Answer:
false
Step-by-step explanation:
In a survey, the ratio of the number of people who preferred tea to those who preferred coffee was 9:5
36 more people preferred tea to coffee.
How many people were in the survey?
Answer:
45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.
Step-by-step explanation:
Let t be the people who prefer tea, and let c be the people who prefer coffee.
The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products give us 5t=9c.
Also, we have 36 more people prefer tea than coffee, so we have c+36=t
Thus we have: 5(c+36)=9c
5c+180=9c
180=4c
c=45
c+36=t
45+36=81
What is the length, in units, of segment CD?
Answer:
The answet is C.
Step-by-step explanation:
First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :
[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]
[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]
[tex] \sin(θ) = \frac{4}{5} [/tex]
[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]
[tex]θ = 53.1 \: (1d.p)[/tex]
Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :
[tex]ACD = 90 - 53.1 = 36.9[/tex]
Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :
[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]
[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]
[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]
[tex]CD \cos(36.9) = 5[/tex]
[tex]CD = \frac{5}{ \cos(36.9) } [/tex]
[tex]CD = 6.25 units\: (3s.f)[/tex]
How long is 139.5 minutes
Answer:
[tex]\mathrm{2.325 \: hours}[/tex]
Step-by-step explanation:
[tex]\frac{139.5}{60}=2.325[/tex]
[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]
2 less than a number times 6
Evaluate: (-2/3*3/4) -1
Answer:
[tex] = ( - \frac{2}{3} \times \frac{3}{4}) \times ( - 1) [/tex]
[tex] = \frac{( - 2) \times ( - 1)}{4} [/tex]
[tex] = \frac{ + 2}{4} [/tex]
[tex] = + \frac{1}{2} [/tex]
Here's your answer girlfriend
Please follow me
anyone get this ? (geometry)
I NEED HELP ASAP Which equation is equivalent to: −10r−6=115
A. 10r=−115+6
B. −10r=115+6
C. −10r=115−6
D. 10r=115−6
The square root of 52 is between which two consecutive Integers?
26 and 27
25 and 26
07 and 8
8 and 9
Urgent plz please please❤️
Answer:
see below
Step-by-step explanation:
The domain is the possible x values
For the top graph x goes from 0 to 240
0 ≤x≤240
For the bottom graph the domain is from -3 but not including -3 because of the open circle to 6
-3 < x ≤6
(-3,6]
The range is the possible y values
The lowest value of y is -5 and the largest is 7
-5 ≤y≤7
[-5,7]
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)
Answer:
i hope this helps and its clear !
Can someone please help me with this I don’t get it please help me
Answer:
13.3
Step-by-step explanation:
The triangles are similar so we can use ratios to solve
AM AN
---------- = ------------
AM+AB AC
6 8
---------- = ------------
6+4 AC
Using cross products
6AC = 8 * 10
6AC = 80
Divide by 6
AC = 80/6
AC =13 1/3
AC = 13.33333
Answer:
11
Step-by-step explanation:
add
*I WILL MARK YOU BRAINLIEST!!!!!*
Answer:
C
Step-by-step explanation:
you were told to draw a graph
f(x) or y is 4 when x less than or equal to 3. so you must draw straight horizontal line at y = 4 start from x = 3 to the left
(fx) or y is 2 when x bigger than 3. so, 3 is not included. so you must draw straight horizontal line at y = 2 start from x = 3 to the right with empty circle first (it means 3 not included)
Which set of numbers can represent the side lengths in centimeters of a right triangle?
8.12.15
10 24 26
12. 20, 25
0 15 18.20
Answer:
8.12.15
Step-by-step explanation:
mark brainliest plz
PLEASE HELP WITH BOTH PARTS!!!!!!!! WILL BE MARKED BRAINLIEST!
Answer:
Part A ) Option A, Option C, Option E
Part B ) 1200 cm^2
Step-by-step explanation:
The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.
[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]
Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;
[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]
The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;
[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]
Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!
Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!
This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!
[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]
Hope that helps!
One fourth of a number is added to one fifth of the same number. If the result is 18, find the number
Answer:
[tex]40[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the number.
[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]
[tex]\frac{9}{20} x=18[/tex]
[tex]x=18 \times \frac{20}{9}[/tex]
[tex]x=40[/tex]
If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40
Let the given number be represented by x
One-fourth of the number = x/4
One-fifth of the same number = x/5
One-fourth of the number is added to one fifth of the same number =
x/4 + x/5
The result is 18
This can be represented mathematically as:
x/4 + x/5 = 18
Simplifying the equation above
(5x + 4x)/20 = 18
Cross multiply
5x + 4x = 18(20)
9x = 360
x = 360/9
x = 40
The number = 40
Learn more on word problem here: https://brainly.com/question/21405634
in the year 2012 a farmer harvested 144 bags of maize.the following year the harvest decreased in the ratio 3:4.What was the total number of bags harvested for the two years
Answer:
252 bags of maize
Step-by-step explanation:
From the question, we are told that a farmer harvested maize
In the year 2012 = 144 bags of maize
In the year 2013(following year) the harvest decreased in the ratio 3:4
This means
3:4 = 2013: 2012.
Where number of bags harvested in 2013 = unknown = x
3/4 = x/ 144
Cross multiply 4x = 3 × 144
x = 3 × 144/ 4
× = 108
This means 108 bags of maize was harvested in 2013
The total number of bags harvested is = 108 + 144
= 252 bags of maize.
10 ft
8 ft
Find the perimeter of this figure to the
nearest hundredth. Use 3.14
Answer:
48.56 ft
Step-by-step explanation:
==>Given:
A rectangular figure joined with a half circle with the following dimensions:
Length of rectangle (l) = 10ft
Width of rectangle (w) = 8ft
Diameter of the half circle (d) = the width of the rectangle = 8ft
π = 3.14
==>Required:
Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle
==>Solution:
Perimeter of rectangle = 2(l + w)
Perimeter of half circle = ½ of circumference of a circle = ½πd
Perimeter of the figure = 2(10 + 8) + (½*3.14*8)
= 2(18) + (3.14*4)
= 36 + 12.56
Perimeter = 48.56 ft (to the nearest hundredth)
Answer:56.56
Step-by-step explanation:
For the perimeter of a rectangle
P = 2 × (a + b)
P = 2 × (8 + 10)
P = 2 × 18
P = 36
For the perimeter of a semicircle
P = (pi × r) + (2 × r)
Diameter = 8
Radius = 8/2
Radius = 4
P = (3.14 × 4) + (2 × 4)
P = 12.56 + 8
P= 20.56
Perimeter of this figure
P = r + c
P = 36 + 20.56
P = 56.56
Using the quadratic formula, which of the following are the zeros of the quadratic equation below
Answer:
the answer for this question is D
Answer:
Correct answer is actually B
Step-by-step explanation:
I used someone’s answer with their work shown for my test
if f(x)=x-7 and g(x)=x^3, find G(f(x))
Answer:
[tex](f*g)(x) = x^4-7x^3[/tex]
Step-by-step explanation:
[tex]f(x) = x-7\\g(x) = x^3[/tex]
Multiplying both would make
[tex](f*g)(x) = x^4-7x^3[/tex]
calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high
Answer:
432 cm²
Step-by-step explanation:
To find the surface area of a cuboid, there is a formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
Multiply all the terms.
336+96
Add both the terms.
= 432
The surface area of the open cuboid is 432cm².
Answer:
432 cm²
Step-by-step explanation:
The formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
336+96
= 432
The surface area of the open cuboid is 432cm²
Help idk how to do this
Answer: 58°
Step-by-step explanation:
They say the triangles are equal. And they give us more information for the triangle on the right.
∠E = ∠B
We know ∠C and ∠D, so you should add them all up to equal 180. (degree of a triangle)
74 + 48 + ∠E = 180
122 + ∠E = 180
∠E = 58
So therefore ∠B = 58
Answer:
x = 29
Step-by-step explanation:
Focus on ΔDEC first. We know that two of its angles are ∠C = 48° and ∠D = 74°.
All of a triangle's angles must add up to 180° by the Triangle Sum Theorem. 48° + 74° = 122°. 180° - 122° is 58°. So ∠E is 58°.
Because the triangles are congruent, ∠E corresponds to ∠B.
Because ∠B is "2x," divide 58° by 2. 58° ÷ 2 = 29°. 29° × 2 = 58°, so this checks out.
I hope this helps!!