Answer:
3rd option
Step-by-step explanation:
the ratio of b : c is the cos77° , that is
cos77° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] ≈ 0.224951054.
#8 HELP IM STUCK ON THIS
Answer:
12 ft
Step-by-step explanation:
for the model is 1 and the actual is 5
conversion yards to feet
3 feet = 1 yard
20 * 3 = 60
60/5 = 12
your answers 12 ft
hope this helps:)
What percent of 4c in each expression?
0.04c
Answer:
1%
Step-by-step explanation:
0.04c multiplied by 100 is 4.
Answer:
1%
Step-by-step explanation:
Mostly because you see 0.04c is exactly 1% of 4c. Which means a hundred 0.04c will be required to get 4c.
The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1.5 litres of water into the container. Will the water come over the top of the container? Explain your answer and show all your working.
Answer:
Cylinder[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 6 cmh = 18 cm[tex]\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}[/tex]
Cube[tex]\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}[/tex]
Given:
x = 8 cm[tex]\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}[/tex]
Volume available to be filled with waterVolume of cylinder - volume of cube
= 684π - 512
= 1532.75204 cm³
1 litre = 1000 cm³
⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³
As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder. Therefore, the water will not come over the top of the container.
Find the values of x for which the function is continuous.
f(x) =
−3x + 7 if x < 0
x^2 + 7 if x ≥ 0
a.x ≠ 0
b.x ≥ 0
c.x ≥ root square 7
d.all real numbers
e.x ≠ 7
It looks like the given function is
[tex]f(x) = \begin{cases}-3x + 7 & \text{if }x < 0 \\ x^2+7 & \text{if }x \ge0\end{cases}[/tex]
The two pieces of f(x) are continuous since they are polynomials, so we only need to worry about the point at which they meet, x = 0. f(x) is continuous there if
[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0^+} f(x) = f(0) = 7[/tex]
To the left of x = 0, we have x < 0, so f(x) = -3x + 7 :
[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0} (-3x + 7) = 7[/tex]
To the right of x = 0, we have x > 0 and f(x) = x² + 7 :
[tex]\displaystyle \lim_{x\to0^+} f(x) = \lim_{x\to0} (x^2 + 7) = 7[/tex]
So f(x) is continuous at x = 0, and hence continuous for all real numbers.
fast i need it thanks
Answer:
trigonometry is difficult haha…. Answer is 8.81 I think
Step-by-step explanation:
A Panel in a stained-glass window in the shape of a parallelogram has the dimensions shown. Find the area of the panel.
Answer: 20 sq ft
Step-by-step explanation: The base is AB = 5 ft because AB = CD. Recall that opposite sides in a parallelogram are congruent and parallel.
area of parallelogram = base * height = 5*4 = 20
note: the base is always perpendicular to the height
Write 9.30 in scientific notation
Please help :)
I’ll give brainliest to whoever comments first and gets it right!
Answer:
9.30 × 10⁰ bro that was so easy
Which equation represents the relationship between the Cost in dollars, C, and the pounds of apples, a, bought?
check the attachment please. I also need to know the value of y
Answer:
Angle MBR = 31°
y = 14
Step-by-step explanation:
There is a tiny red square in angle MBH that means it is a right angle. Right angles are 90°. So the 59° angle and the angle marked (y+17)° together make a 90° angle. That helps us write an equation.
59 + y + 17 = 90
add.
76 + y = 90
subtract 76.
y = 14
Then you can find Angle MBR:
y + 17
= 14 + 17
= 31
Alternatively, you could find MBR first and then find y. It comes out the same either way.
the nearest known exoplanet from earth is 4.25 light years away .how many km is this? give your answer in standard form
Answer:
4.021 × 10¹³ km
Step-by-step explanation:
The conversion factor of light years to km is;
1 light year = 9.461 × 10¹² km
Thus;
4.25 light years = 4.25 × 9.461 × 10¹² km = 4.021 × 10¹³ km
HEy does anyone go to Purchase line High school in Pennsylvania? And is in 8th grade
please only answer if you are, please
Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)
a. 5x + 9y = -45
c. -9x + 5y = 45
b. 9x + 5y = -45
d. 5x - 9y = 45
Answer:
Step-by-step explanation:
Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)
a. 5x + 9y = -45
c. -9x + 5y = 45
b. 9x + 5y = -45
d. 5x - 9y = 45
Given the function f(x) = 8x-1, what is the corresponding value when x = -1?
Find the area of the figure. Round to the nearest TENTH.
Answer:
Step-by-step explanation:
12 multiplied by 9 is 108. That gives us the square. The triangle base is 9. The height is 7. 7 multiplied by 9 is 63. 63 divided by 2 is 31.5. 108 add 31.5 is 139.5 cm squared.
Answer:
A=L*B
=12*9
=108
A=0.5base *H
=0.5(9)*7
=31.5
A=108+31.5
A=139.5
Please some one help with this question
Answer:
Where is the picture????
What is the length of DE?
A. 5
B. 7
C. 6
D. 8
Answer:
the answer is 5. I think because it's a trian
A. 5 I think.....the length of DE is 5.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 3/5
Step-by-step explanation:
brainliest pleaseeee
A bag contains 5 blue marbles and 3 yellow marbles. You randomly select two marbles from the bag. What is the probability that both marbles are blue when you replace each marble before selecting the next marble? Write your answer as a decimal rounded to three decimal places.
Answer:
0.625
Step-by-step explanation:
5/8 because there are 5 blue marbles and there are 3 yellow marbles. If you add them it equals 8.
The probability is 5/8.
If you do 5 divided by 8 it gives you 0.625.
Honestly i don't know what you mean by "rounded to three decimal places."
Sorry if it's not really healpful.
What are the coordinates for D?
options:
(-3, 2)
(-3, -1)
(-2, -3)
(-3, -2)
Answer:
(-3, -2)
Explanation:
Coordinates are represented in the form of (x, y)
To know the x coordinates see the value on the x-axis.
To know the y coordinates see the value on the y-axis.
From there we can identify:
A = (x, y) = (-4, 4)
B = (x, y) = (2, 2)
C = (x, y) = (0, -5)
D = (x, y) = (-3, -2) ← Required answer.
Events a and b are independent. the probability of a occurring is . the probability of b occurring is . what is p(a and b)?
Since events a and b are independent P(a and b) = P(a) × P(b)
To answer the question, we need to know what probability is
What is probability?Probability is the likelihood of an event to occur. The probability of the event P(event) = number of required outcomes/total number of outcomes
Probability of independent eventsIf we have two independent event sa and b that have probabilities of occuring P(a) and P(b) respectively, the probability P(a and b) = P(a) × P(b)
So, P(a and b) = P(a) × P(b)
Learn more about probability here:
brainly.com/question/25839839
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PLS HELLLLP!!!!!!!! I need 10 people to answer within the next 20 minutes what their favorite shoe brand. It is for an Algebra Project due Monday.
Answer:
Keen
Step-by-step explanation:
Favorite shoe brand = Keen
Answer:
Nike
Step-by-step explanation:
Nike shoes are great and comfy
Simplify the expression (4x2y3)2
Answer:
8x^2 2y^3
Step-by-step explanation:
Hi! really need help with my math and its due tmrw please helppp Also make sure
to slide over to see the other problems sorry if its glitchy.
Answer:
The value of x is equal to 109
Pls help
In the diagram below, △KLM≅△NOP.
What is the length of line segment KL¯¯¯¯¯?
A - 12 units
B - 14 units
C - 17 units
D - 19 units
The value of x will be equal to 14 units.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.
Since the two triangles are congruent so the value of x will be calculated as:-
2x - 9 = x + 5
2x - x = 9 + 5
x = 14
Therefore the value of x will be equal to 14 units.
Learn more about congruency at
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Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line, using the disk/washer method. Sketch the region, the solid, and a typical disk or washer.y = (x - 2)^2 ; y=2x-1 ; about the line y = -1
Check the picture below.
to check where the functions intersect, we can simply set them equal to each other so (x-2)² = 2x - 1, anyhow, not to bore you to death with that, it's as the picture shows it, at x = 1 and x = 5, so those are our bounds.
to get the R² part of the washer, what I do is using the "area under the curve" method of f(x) - g(x), where g(x) is the axis of rotation and f(x) is the farthest radius, so to get R² I'd process (x-2)² - (-1), that'd give me R and then I'd square that.
to get r², I do pretty much the same thing, f(x) - g(x) where g(x) is the axis of rotation and f(x) is the closest radius, in this namely (2x - 1) - (-1), and that'd give "r" and then we can square that to get r².
[tex]\begin{cases} R = 2x\\ r = x^2-4x+5 \end{cases}\hspace{5em} \begin{array}{llll} \stackrel{R^2}{4x^2}~~ - ~~\stackrel{r^2}{(x^4-8x^3+26x^2-40x+25)} \\\\\\ -x^4+8x^3-22x^2+40x-25 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle \pi \int\limits_{1}^{5}(-x^4+8x^3-22x^2+40x-25)dx \\\\\\ \pi \left[ -\cfrac{x^5}{5}+2x^4-\cfrac{22x^3}{3} +20x^2-25x\right]_{1}^{5}\implies \cfrac{1408\pi }{15}[/tex]
Express 2x² - 12x + 7 in the form a (x + b)² + c, where a, b and c are constants.
Answer:
2(x-3)² - 11 where a = 2, b = -3, c = -11
Step-by-step explanation:
Taking the first 2 terms,
2x² - 12x ==> 2(x² -6x) [1]
x² -6x can be rewritten as (x -3)² - 9 [2]
since (x-3)² = x² -6x + 9
Substituting for x² -6x in [1] we get
2(x² -6x) = 2((x -3)² - 9 ) = 2(x-3)² -18
Therefore substituting for 2x² - 12x in the original equation we get
2x² - 12x + 7 = 2(x-3)² -18 + 7 ==> 2(x-3)² -11
this is in the form (a(x+b) + c where a = 2, b = -3 and c= -11
Cross-check
2(x-3)² - 11 ==> 2 (x² -6x +9) -11 ==> 2x² -12x +18 - 11 ==> 2x² -12x + 7
A box is 50 cm long. Which of these is the closet to the length of this box in feet ? (1 inch = 2.54cm)
Answer:
1ft 7.7in/1.64 ft
Step-by-step explanation:
50/2.54=19.69in
12in=1ft
so 1ft 7.7in
19.69/12=1.64
Find the value of x.
31.5
68.3
26.7
11.
Answer:
26.7
Step-by-step explanation:
Using trigonometric ratio, we find:[tex]\sin 67\degree= \frac{x}{29}[/tex][tex]\implies x = 29\sin 67\degree[/tex][tex]\implies x =26.69464075[/tex][tex]\implies x \approx 26.7[/tex]Paul went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard
deck of 52 cards.
paul has had good luck at blackjack in the past, and he actually got three blackjacks with kings in a
row the last time he played. because of this lucky run, paul thinks that kings are the luckiest card.
the dealer deals the first card to him. in a split second, he can see that it is a black card, but he is
unsure if it is a king.
what is the probability of the card being a king, given that it is a black card? answer choices are
in a percentage format, rounded to the nearest whole number.
Using it's concept, it is found that there is a 8% probability of the card being a king, given that it is a black card.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In a standard deck, there are 26 black cards, of which 2 are kings, hence the probability is given by:
p = 2/26 = 0.0769 = 7.69%.
Rounded to the nearest whole number, 8% probability of the card being a king, given that it is a black card.
More can be learned about probabilities at https://brainly.com/question/14398287
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please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
========================================================
Explanation:
Check out the diagram below.
a = 6.3 inchesb = 6.3 inchesc = unknown hypotenuseUse the Pythagorean Theorem to find the length of c.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{(6.3)^2 + (6.3)^2}\\\\c = \sqrt{39.69+39.69}\\\\c = \sqrt{79.38}\\\\c \approx 8.9095\\\\c \approx 8.9\\\\[/tex]
The distance from one corner to the opposite corner is about 8.9 inches.