Step-by-step explanation:
Here, h = 20cmBy question, p + b = 28cmor, p = 28 - bUsing pythagoras theorem, h^2 =p^2 + b^220^2 = (28-b) ^2 + b^2400 = 28^2 -2x28xb + b^2 + b^256b = 784 - 400 + 2 b^20 = 2b^2 - 56b + 384 0 = 2 ( b^2 - 28b + 192)0 = b^2 - (16 + 12) b + 1920 = b^2 - 16b - 12b + 1920 = b (b - 16) - 12 (b - 16)0 = (b - 16) (b - 12)Either, b= 16Or,b = 12When b = 16,p = 28 - 16 = 12When b = 12,p = 28 - 12 = 16Please help me no links!!
Answer:
Step-by-step explanation:
The line is parallel to y axis so
slope : undefined
y intercept : the line doesn’t intercept y axis
Equation : x = -6
Two of the desserts are sugar free
Three of the drinks are sugar free
Answer: 8/15
Step-by-step explanation:
You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.
Two of the desserts are sugar free (2/3).
Four of the drinks are sugar free (4/5)
Times these fractions together, 2/3x4/5= 8/15.
Hope this helps :)
5. The Colorado state flag consists of three horizontal stripes of equal height. The side lengths of the flag are in the ratio 2 : 3. The diameter of the gold-colored disk is equal to the height of the center stripe. What percentage of the flag is gold?
Answer:
the diameter of the circle is ⅓ of the height
so the radius is 1/6 of the height
the area of the flag is 1*1.5 of the height
(we need to consider this)
pi*(1/6)² / 1.5
= 0.058177
so the percentage is
5.82 %
So, the required percentage is [tex]5.81\%[/tex].
To understand the calculations, check below.
Area of the disk:The area of the disk is defined as the ‘ measure of surface ‘ surrounded by the round edge (circumference) of the disk. The area of a disk can be derived by breaking it into a number of identical parts of disk as units — calculating their areas and summing them up till the disk is reformed.
That is [tex]Area=\pi \frac{d^2}{4}[/tex]
Let the width and the length of the flag be [tex]2x[/tex] and [tex]3x[/tex] respectively.
So, the diameter of the gold-colored disk will be [tex]\frac{2x}{3}[/tex]
Now, by using the above formula the area of the gold disk will be,
[tex]\pi \frac{d^2}{4}=\pi\times\frac{4x^2}{4\times 9} \\ =\frac{\pi x^2}{9}[/tex]
And the area of the flag will be,
[tex]Area=l\times b\\=2x\times 3x\\=6x ^2[/tex]
So, the required percentage is,
[tex]\frac{(\frac{\pi x^2}{9} )}{6x^2} \times 100=\frac{\pi}{54}\times 100\\ =5.81\%[/tex]
Learn more about the topic Area of the disk:
https://brainly.com/question/21881629
please help me solve this
Answer:
(0, 3), (4, -5)Step-by-step explanation:
y = x² - 6x + 3y = -2x + 3Solve by substitution:
x² - 6x + 3 = -2x + 3x² - 4x = 0x(x - 4) = 0x = 0 ⇒ y = -2*0 + 3 = 3x = 4 ⇒ y = -2*4 + 3 = -5definition of descartes
Answer:
French philosopher and mathematician; developed dualistic theory of mind and matter; introduced the use of coordinates to locate a point in two or three dimensions (1596-1650)
Multiple Select
Although there are many more, choose THREE reasons the U.S. government is strongly encouraging Sl to be used at all levels of
education.
students educated to use the metric system will be able to excel in the global marketplace
using the metric system helps students be more creative
the mandatory conversion from U.S. measurements to metric is official in 2020
the metric system is simpler for students to learn
education in math and science will become more efficient
Answer:
watts
Step-by-step explanation:
Answers:
students educated to use the metric system will be able to excel in the global marketplaceeducation in math and science will become more efficientthe metric system is simpler for students to learnAnswer to the question
Answer:
Step-by-step explanation:
In a parallelogram,
i) opposite sides are equal and parallel.
So, DC = AB
DC = 28 units
ii) Diagonals bisect each other.
AC bisects BD
DE = EB = [tex]\frac{1}{2}[/tex] BD
DE = [tex]\frac{1}{2}*91[/tex] = 45.5
DE = 45.5 units
Which algebraic expression has a term with a coefficient of 9? O A. 6(x + 5) O B. 6x - 9 O C. 6+ x - 9 O D. 9x=6
Answer:
D is the answer to your question
What is the value of xin the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
14
B
х
D
с
30
A. 6.5
B. 16
C. 14
D. 30.1
Answer:
the answer is letter A. 6.5
Step-by-step explanation:
it's correct if I'm rwong ( ╹▽╹ )
Why do we divide log2(4) by 15 and why log4(15) turned to log2(15) i need deep explanation and understand the rest but i didnt get where the first step came from
Answer:
see below
Step-by-step explanation:
log 4 (15)
We need to change the base from 4 to 2
log b (a) = log x(a) / log x(b) where x is the base that we need
log4 (15) = log 2 (15) / log 2 (4)
Plzzz help I don’t have a lot of time
Answer:
7
Step-by-step explanation:
It’s a right angle, so you can add the two expressions togther to get 90, then isolate x.
(8r-6)+(5r+5)=90
13r-1=90 (combine like terms)
13r-1+1=90+1 (add 1, addition property of equality)
13r=91
13r/13=91/13
r=7
Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.
Answer: -1
Step-by-step explanation:
Just took the test
,and the equation is y=-1x+5, so the change of x is -1
Answer:
The answer is -1
Step-by-step explanation:
The ratio of cars to people is 1 to 4 1/2
write as a reduced fraction
Answer:
[tex]1 : 4\frac{1}{2} \\ = 1 : \frac{9}{2} \\ = \frac{1}{ \frac{9}{2} } \\ = \frac{2}{9} [/tex]
how do i solve this problem
Answer:
5 sqrt(2) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin 45 = x / 10
10 sin 45 = x
10 ( sqrt(2)/2) =x
5 sqrt(2) =x
Find the point on the terminal side of θ = three pi divided by four that has a y coordinate of 1. Show your work for full credit.
Answer:
Remember that tan=y/x from your notes from module 4.
Step-by-step explanation:
Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.
For all the problems in this section you can set up an equation where tan=y/x, sin = y/h, and cos=x/h. Then using your equation you can solve for whatever number is missing.
Answer:
-1/1
Step-by-step explanation:
In which number does the digit 5 have a value that is ten times greater than the value of the digit 5 in the number 245,093?
43,567
45,248
53,901
562,011
Answer:
53,901
Step-by-step explanation:
The value given is: 245,093.
5 is in the thousands place. Multiply the thousands place with ten:
1,000 x 10 = 10,000
This means that the number with 5 in the ten thousands place will be your answer.
53,901 is your answer.
~
In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the equation F=ma.
Using this formula, what is the acceleration of an object with F=7.92 newtons and m=3.6 kilograms? Express your answer to the nearest tenth.
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.
When solved for C, the equation is
C = K – 273.15
C = 273.15 – K
C = K + 273.15
C = 273.15K
what is the actual standard deviation for 68,68,68,68,68 133,133,133,133,133,
Answer: 21380.573997076
Step-by-step explanation:
I dont know how to do this please help me
problem 17=A
problem 4= C
problem 9= B
problem 11= C
problem 14= D
I need help finding the answer. Would appreciate some help
Answer:
a = 153.5 yd²
Step-by-step explanation:
horizontally divide the figure into a tringle and a trapezoid
triangle
a = (1/2)bh
a = (1/2)(19)(7)
a = 66.5
trapezoid
a = (b₁ + b₂)/2 * h
a = (19 + 10)/2 * (13 - 7)
a = 87
Combined
a = 66.5 + 87
a = 153.5
Express 240g as a percentage of 2.5kg
Answer:
0.1%
Step-by-step explanation:
Given that 240 g of 2.5 kg
We have to express this in percentage
But we know that 1 kg = 1000 g, So first convert 2.5 kg to g
2.5 kg = 2.5 x 1000 g = 2500 g
The formula of "a" % of "b" is given as:
[tex]percentage= \frac{a}{b}[/tex] × 100
Hence, 240 g as a percentage of 2500 g is given as:
[tex]= \frac{250}{2500}[/tex] × [tex]100[/tex]
= [tex]\frac{1}{10}[/tex] = 0.1
Thus, the answer is 0.1 %
Simplify Complex Numbers
3.
√250 = √(25 * 10) = √(5^2 * 10) = √(5^2) * √10
… = 5 √10
=> a = 5
4.
√(-300) = √(-1 * 3 * 100) = √(-1 * 3 * 10^2) = √(-1) * √3 * √(10^2) = i * √3 * 10
… = 10i √3
=> -a = 10 and b = 3 => a = -10 and b = 3
=> a - b = -10 - 3 = -13
What does 32.689 x 10³ =???
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{32.689\times 10^3}[/tex]
[tex]\mathsf{10^3}[/tex]
[tex]\mathsf{= 10\times10 \times10}[/tex]
[tex]\mathsf{= 100\times10}[/tex]
[tex]\boxed{\mathsf{= \bf 1,000}}[/tex]
[tex]\mathsf{32.689 \times1,000}[/tex]
[tex]\boxed{\mathsf{= \bf 32, 689}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 32, 689}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The four sides of Pam's vegetable garden are
26 3/4 feet,
24 1/2 feet,
23 1/2 feet, and
18 1/4 feet. How many feet of fencing are needed to go around the garden? First estimate the answer, then solve to find the exact answer.
Answer:
The perimeter of the garden would be 93 feet, meaning you would need 93 feet of fencing.
Step-by-step explanation:
To find the perimeter of a shape you first need to know how long each side of the shape is and then add those sides together, once you have that number, you have your perimeter. I hope this helps.
What is the solution of the equation, 8y = 4?
A. y = 1/2
B. y = 2
c. y = 12
D. y = 32
Answer: A, which is y = 1/2
Step-by-step explanation: To find the value of y, you would need to divide both of the sides by 8. This makes it so that 8y turns into just y. After you do this, you would find an answer of y = 1/2. Hope this was helpful! :)
Answer:
y = 1/2
Step-by-step explanation:
8y = 4
Divide each side by 8
8y/8 = 4/8
y = 1/2
what that two numbers when multiplied give 600 and when added give 59
Answer:
Step-by-step explanation:
Let the 2 numbers be x and y
From the problem we have that
x * y = 600 and x + y = 59
From x + y = 59 -> x = 59 - y
Plug x = 59 - y to x * y = 600 we have
(59 - y) * y = 600
-> 59y - y^2 = 600
-> -y^2 + 59y - 600 = 0
-> y = [tex](59 - \sqrt{1081})/2[/tex] or [tex](59 + \sqrt{1081})/2[/tex]
Then we could plug the answers in and find x because x = 59 - y
(b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 4 to 19. What is the probability of a successful call
Answer:
0.1739 = 17.39% probability of a successful call.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The odds of making a sale on a single call are 4 to 19.
This means that in 4 + 19 = 23 calls, 4 are successful.
What is the probability of a successful call?
[tex]p = \frac{4}{23} = 0.1739[/tex]
0.1739 = 17.39% probability of a successful call.
How many different ways may a set of 4 books be arraged side by side on a shell?
Answer:
24
Step-by-step explanation:
4 * 3 * 2 * 1 = 24
Can someone help me please
Answer:
C
Step-by-step explanation:
All others can be proved false.
Identify which shapes are similar to shape A and which are not.
Answer: Shape 3 and Shape 2
Hope this helps...
Have a great day.
