Answer:
16 cm2
Step-by-step explanation:
By equa tion of area of triangle: S = 1/2 * height * base
Triangle B: 32 = 1/2 * 8 * x --> x = 8 (cm)
The base of triangle A is half of the base of triangle B so it is 4 cm.
The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)
Select the two values of x that are roots of this equation.
2x^2+ 1 = 5x
Answer:
[tex]\frac{5+\sqrt{17}}{4}[/tex], [tex]\frac{5-\sqrt{17}}{4}[/tex]
Step-by-step explanation:
One is asked to find the root of the following equation:
[tex]2x^2+1=5x[/tex]
Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:
[tex]ax^2+bx+c=0[/tex]
Change the given equation using inverse operations,
[tex]2x^2+1=5x[/tex]
[tex]2x^2-5x+1=0[/tex]
The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]
Simplify,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]
[tex]\frac{5(+-)\sqrt{25-8}}{4}[/tex]
[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]
Rewrite,
[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]
[tex]\frac{5+\sqrt{17}}{4}[/tex], [tex]\frac{5-\sqrt{17}}{4}[/tex]
2. sale price $1,089
sales tax rate: 6.25%
Answer:
0.0625
Step-by-step explanation:
The student looks up the word count on his favorite book, if the book has pages that are 5.5 in. x 6.5 in. and 59,540 words how many pages is the book? (This sentence and picture combine.)
Answer:
199 pages
Step-by-step explanation:
The average number of words on the page is 300. Because there are 59,540 words and 59540/300 = 198.46 (approximately), there are 199 pages in the book (because the 0.46 pages would be the last page).
Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. The vertices of rectangle ABCD are labeled in alphabetical order going clockwise around the figure. If AB = 3 units and AD = 5 units, what is the length of B'C'? A. 5 units B. 9 units C. 11 units D. 3 units
Answer:5 units
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
im bad at math and i need help
Answer:
n•√n
here is an accurate representation
how do you solve 11=t+11.5-t?
Equations are represented with the = sign. It means both sides of the equation are equal. [tex]11=t+11.5-t[/tex] has no solution
Given that:
[tex]11=t+11.5-t[/tex]
Start by collecting like terms
[tex]11-11.5=t-t[/tex]
Evaluate like terms
[tex]-0.5 = 0[/tex]
-0.5 is not equal to 0.
Hence, the equation has no solution
Read more about equations at:
https://brainly.com/question/315182
Efetue as divisões indicadas.
a. 3,6 : 1,5
b. 42:0,21
c. 200:0,5
Answer:
a)
[tex] \frac{3.6}{1.5} = \frac{36}{15} = 2.4[/tex]
b)
[tex] \frac{42}{0.21} = \frac{4200}{21} = 200[/tex]
c)
[tex] \frac{200}{0.5} = \frac{2000}{5} = 400[/tex]
I hope I helped you^_^
The circumference of a circular garden is 113.04 feet. What is the radius of the garden? Use 3.14 for pie and do not round your answer.
Answer:
18 ft
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
113.04 = 2 ( 3.14) * r
113.04 = 6.28 r
Divide each side by 6.28
113.04/6.28 = 6.28r/6.28
18 =r
Write another way to group the factor (3×2)×5 then find the product
Answer:
30
Step-by-step explanation:
Another way to group the factor would be 3(2×5)
2 times 5 is 10 and then 10 times 3 is 30 so therefore, your answer is 30
the quotient of 5+h and n+3
Answer:
5+h/n+3
Step-by-step explanation:
5+h is numerator
and n+3 is denominator
so you make it a fraction to get the quotient which is 5+h/n+3
Which statement compares the numbers correctly 23.811 > twenty-three and eight hundred eleven thousandths Twenty-three and eight hundred eleven thousandths > 23.811 Twenty-three and eight hundred eleven thousandths < 23.811 Twenty-three and eight hundred eleven thousandths = 23.811
Answer:
The correct answer is A.
Step-by-step explanation:
Yolanda has 3/4 of a cup of sugar. This is 3/5 of what she needs. How much sugar does Yolanda need?
Show your reasoning.
Answer:
[tex]1\frac{1}{4}[/tex] cups
Step-by-step explanation:
1. Info we have3/4=3/5
2. Solving3/4*1/3=3/5*1/3
1/4 = 1/5
1/4*5=1/5*5
5/4=5/5
5/4= 1 and 1/4 cups
Hope this helped! Please mark brainliest :)
~~ SUMMER ~~
For the equation: – 36 – 4r = -2(-6 + 6r), what is the value of r?
Answer:
r = 6
Step-by-step explanation:
– 36 – 4r = -2(-6 + 6r)
+36 +36
----------------------------------
-4r = -12r + 48
+12r +12r
----------------------------------
8r = 48
/8 /8
----------------------------------
r = 6
Answer:
r = 6
Step-by-step explanation:
– 36 – 4r = -2(-6 + 6r)
-36 - 4r = 12 - 12r
-48 - 4r = -12r
-48 = -8r
r = 6
What is the period of the function given?
pls
Answer:
2. ☑ A [tex]\displaystyle f(x) = tan\:\frac{1}{2}x[/tex]
☐ B [tex]\displaystyle f(x) = tan\:2x[/tex]
☐ C x = [tex]\displaystyle 2tan\:x[/tex]
1. ☐ A [tex]\displaystyle \frac{\pi}{2}[/tex]
☐ B [tex]\displaystyle \pi[/tex]
☑ C [tex]\displaystyle 2\pi[/tex]
Explanation:
[tex]\displaystyle \boxed{f(x) = -cot\:(\frac{1}{2}x - \frac{\pi}{2})} \\ \\ y = Acot(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\pi} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{1}{2}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\pi}{\frac{1}{2}} \\ Amplitude \hookrightarrow N/A[/tex]
OR
[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\pi}{\frac{1}{2}} \\ Amplitude \hookrightarrow N/A[/tex]
Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Also, keep in mind that although this IS the tangent graph, if you plan on writing your equation as a function of cotangent, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = cot\:\frac{1}{2}x,[/tex] in which you need to replase "tangent" with "cotangent", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the tangent graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cotangent graph [photograph on the right] is shifted [tex]\displaystyle \pi\:units[/tex] to the left, which means that in order to match the tangent graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \pi\:units,[/tex] which means the C-term will be positive, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\pi} = \frac{\frac{\pi}{2}}{\frac{1}{2}},[/tex] but we are NOT YET DONE. Although we shifted the graph back into position, remember, cotangent is graphed in REVERCE, so we need to insert a negative in front of the amplitude term, and with that, the cotangent graph of the tangent graph, accourding to the horisontal shift, is [tex]\displaystyle y = -cot\:(\frac{1}{2}x - \frac{\pi}{2}).[/tex] Now, with all that being said, we can move forward. To find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, the vertical asymptotes are [tex]\displaystyle -\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{2\pi} = \pi + \pi.[/tex] So, the period of this function is [tex]\displaystyle 2\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = 0.[/tex]
Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.
I am delighted to assist you at any time.
1 3/4 divided by 2 3/8
will give brainiest pls help
Answer:
[tex]\frac{14}{19}[/tex]
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{7}{4} \div \frac{19}{8}[/tex]
Applying the fractions formula for division:
[tex]= \frac{7 \times 8}{4 \times 19}[/tex]
[tex]= \frac{56}{76}[/tex]
Simplifying 56/76, the answer is:
[tex]\frac{14}{19}[/tex]
I hope this helps! :)
Answer:
the answer is 14/19
change the mixed numbers to improper fractions then that becomes 7/4 and 19/8 then multiply across 7x8=56 and 19x4=76 that gives you 56/76
Simplifying 56/76,= 14/19
A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder
Answer:
C. 640π cubic units
Question 7
Which graph best represents the solution to the following inequality?
+ 5 > 11
A
16
17
19 20 21 22
23 24 25
O
15
16
17
18 19 20 21 22
23
24 25
c.
10 11
3 4 5
12
15
13 14
D.
8
10
11
12
13
14
15
Answer:
D
Step-by-step explanation:
x + 5 > 11
is the same as
x > 6
and because it is ">" and not ">=", the solution point is not included.
therefore the right graph is D and not C. an empty little circle means "excluded", while a filled, black circle means "included".
answer needed within one hour :(
Step-by-step explanation:
ANGLE ,x=60
B=C(isoscles)
A=B.As sides are equal.
You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 4 total people. How much
yogurt should you add
Answer:
2 cups of yogurt
Step-by-step explanation:
1=1/2
4=4×(1/2)
=2
B={the first five multiple of 2}. Express it in roster method and rewrite in set builder method?
Answer:
B (2,4,6,8,10) is the answer
B=(X:X is the first five multipel of 2)
this is a correct answer
Choose the inequality that represents the following graph.
H 4
+
-4
+
2.
+
4
-5
-3
-2
-1
0
1
3
5
Choose 1 answer:
2 <-3
3 <-3
С
> -3
D
a 2-3
Answer:
B
Step-by-step explanation:
The solid circle at - 3 indicates that x can be equal to - 3
The arrow pointing left indicates the values of x are less than - 3
Then
x ≤ - 3 → B
The morning temperature was at 23.5° F. Later that evening the temperature had dropped to 15.6° F. What was the change in temperature?
According to Jake the temperature had a change of -7.9° F.
Is Jake’s answer a true of false statement? Please explain your reasoning for your answer.
Answer:
Jake's answer is true; the change in temperature is -7.9° F.
Step-by-step explanation:
The change in temperature is the final value minus the initial value. Evening minus the morning.
The final value is 15.6° F, the initial value is 23.5° F.
So 15.6 - 23.5 = -7.9
Jake's answer is true.
simplify (x+3)^2 -3 (2x+3)
Answer:
x^2.
Step-by-step explanation:
(x+3)^2 -3 (2x+3)
= (x + 3)(x + 3) - 3(2x + 3)
= x^2 + 3x + 3x + 9 - 6x - 9
= x^2 + 6x + 9 - 6x - 9
= x^2 + 6x - 6x + 9 - 9 Simplify like terms:
= x^2.
What are nudibranch? Only some of the most colorful sea creatures on Earth! These marine mollusks boast a variety of
unique shapes and colors, and they live anywhere in the world's oceans, from the tropics to Antarctica. There are many
different types of nudibranchs, some no longer than an inch, and some as long as two feet! Some use toxic appendages
to defend themselves, while others use camouflage. Some even make their own chemicals to keep predators at bay.
Why do nudibranchs have these defenses? Because they are naked! Nudibranch means "naked gills," so named for
their soft bodies and their exposed gills, which sit atop their backs. While common to the ocean, these unusual creatures
can be spotted on underwater dives.
In 2-3 sentences, summarize the information in the paragraph.
Nudibranchs are a detachment of marine gastropods, close to the snails, but without shell and with a pronounced mantle.
Their secondary cutaneous gills are soft, unprotected outgrowths of integuments of various shapes and are located on the sides or on the dorsal side of the body; some species have no gills at all. They inhabit mainly warm seas and oceans. Some species are poisonous and have a bright color. All nudibranchs are hermaphrodites. They are very picky about their food.
Learn more in https://brainly.com/question/9727521
Segment AB is a line segment on a number line. Endpoint A is at –18, and the midpoint is at -6.
Determine the coordinate of endpoint B.
Coordinate of endpoint B
please help, will mark brainliest !
Answer:
the last one
Step-by-step explanation:
PLEASE HELP ASAPPPPPPPPPPP
[tex]\boxed{\boxed{\sf Area\:of\:the\:figure=10x^4-50x^3+5x^2+246x-196}}[/tex]
Refer to the attachment for calculations.
what is the answer and the remainder for the problem
76,000 divided by 816
I NEED ANSWER ASAP PLEASE I BEG OF YOU
Answer:76000 divided by 816 equals
93 with a remainder of 112
Step-by-step explanation: 0 0 0 9 3
8 1 6 7 6 0 0 0
− 0
7 6
− 0
7 6 0
− 0
7 6 0 0
− 7 3 4 4
2 5 6 0
− 2 4 4 8
1 1 2
Mrs. Magee purchased 3 ice cream cones with a $10 bill. Mrs. Magee was given $2.86 in change. What is the price of one ice cream cone?
Answer
5.56
Step-by-step explanation
The price of one ice cream cone is $2.38
The given parameters;
the money given by Mrs Magee for the 3 ice cream cones = $10the change given to Mrs Magee = $2.86The actual amount Mrs Magee purchased the 3 ice cream cones;
Total amount paid = $10 - $2.86 = $7.14
The price of one ice cream cone is calculated as follows;
[tex]Price \ of \ each = \frac{Total \ cost}{total \ number } \\\\Price \ of \ each = \frac{\$7.14}{3} = \$2.38[/tex]
Thus, the price of one ice cream cone is $2.38
Learn more here: https://brainly.com/question/20814121
The greater of two numbers is 6 more than 4 times the smaller. Their sum is 41. FInd the numbers.
Answer:
7 and 34
Step-by-step explanation:
let x and y be the 2 numbers with x > y
The 2 equations to solve are
x = 4y + 6 → (1)
x + y = 41 → (2)
Substitute x = 4y + 6 into (2)
4y + 6 + y = 41 , that is
5y + 6 = 41 ( subtract 6 from both sides )
5y = 35 ( divide both sides by 5 )
y = 7
Substitute y = 7 into (1)
x = 4(7) + 6 = 28 + 6 = 34
The 2 numbers are 7 and 34
