The radius of a semicircle is 5 centimetres. What is the semicircle's diameter?
The diameter [tex]d = 2r[/tex], where [tex]r[/tex] is the radius. Thus, [tex]d = 2 \times r = 2 \times 5 = 10cm[/tex]
can you please help me? 2.1.5
[tex]~Ab_1\\\\\\=\begin{bmatrix} -2&2\\ 1&4\\ 5&-3 \end{bmatrix}\begin{bmatrix} 3\\-2 \end{bmatrix}\\\\\\=\begin{bmatrix} -6-4\\3-8\\15+6 \end{bmatrix}\\\\\\=\begin{bmatrix} -10\\-5\\21 \end{bmatrix}[/tex]
Sin 0 = -8/17 and cos 0 = 15/17 find tan0
Answer:
Step-by-step explanation:
Givens
sin(theta) = - 8/17
cos(theta)= 15/17
Tan(theta) = ?
Comment
Without using the Pythagorean Theorem, you could simply use tan(theta) = Sin(theta) / cos(theta)
Tan(theta) = sin(theta) / cos(theta)
Tan(theta) =[tex]\dfrac{\dfrac{-8}{17} }{\dfrac{15}{17} }[/tex]
Now turn the bottom fraction upside down and multiply.
Tan(theta) = [tex]\dfrac{-8}{17}*\dfrac{17}{15} = \dfrac{-8}{15}[/tex]
Answer Tan(theta) = -8/15
A roller coaster’s height is given by the equation h = –.086t^2 + 6t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? hint: Set h = 0.
34.88 seconds
50.00 seconds
50.17 seconds
77.29 seconds
The time it will take the ride to reach the floor is 77.29 seconds
Quadratic equationsThese are equations that has a leading degree of 2.
Given the function that represents the height of the roller coaster
h(t) = –0.086t^2 + 6t + 50,
At the ground level, h = 0
Substitute
h(t) = –0.086t^2 + 6t + 50,
–0.086t^2 + 6t + 50 = 0
0.086t^2 - 6t - 50 = 0
Factorize
On factorizing, the time it will take the ride to reach the floor is 77.29 seconds
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Answer:
D) t = 77.29 seconds
Step-by-step explanation:
The height of the rollercoaster at ground level is zero.
Therefore, to find how long it will take riders to pass over the hill and reach ground level, set h = 0 and solve for t.
Set the equation equal to zero:
[tex]-0.086t^2 + 6t + 50=0[/tex]
Solve the equation using the quadratic formula.
What is the quadratic formula?The quadratic formula is a formula that can be used to find the solutions of any quadratic equation, which is an equation of the form ax²+bx+c=0, where a, b, and c are constants and x is the variable.
[tex]\boxed{x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}}[/tex]
In this case:
a = -0.086b = 6c = 50Substitute these values into the quadratic formula and solve for t:
[tex]t=\dfrac{-6 \pm \sqrt{6^2-4(-0.086)(50)}}{2(-0.086)}[/tex]
[tex]t=\dfrac{-6 \pm \sqrt{36+17.2}}{-0.172}[/tex]
[tex]t=\dfrac{6 \pm \sqrt{53.2}}{0.172}[/tex]
[tex]t=-7.52228495..., \;\; 77.2897268...[/tex]
As time is positive only, t = 77.29 seconds (2 decimal places).
please help asap 100 points
Answers:
Problem #1: Option C, 166 yards cubed
Problem #2: Option A, 10
Step-by-step solution:
The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it. Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.
Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder. However, before doing that we need to determine the radius of the circle from the diameter that was given.
Divide the diameter by two to get the radius
[tex]Radius = \frac{Diameter}{2}[/tex][tex]Radius = \frac{5.2\ yd}{2}[/tex][tex]Radius = 2.6\ yd[/tex]Plug in the values
[tex]V_{cylinder} = (\pi * radius^2)*height[/tex][tex]V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd[/tex]Simplify the exponent
[tex]V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd[/tex][tex]V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd[/tex]Simplify the expression
[tex]V_{cylinder} = (21.237\ yd^2)*7.8\ yd[/tex][tex]V_{cylinder} = 165.65\ yd^3[/tex]Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.
Now that we completed the first question, we can move onto the second question. In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of. We need to use the Secant-Secant Power Theorem to help determine our solution.
Make an expression to represent the scenario
[tex]32(x + 32) = 28(20 + 28)[/tex]We know have an expression which we can now simplify and get the value of the unknown easily. The first step would be to distribute the 32 and 28.
Distribute both sides
[tex]32(x + 32) = 28(20 + 28)[/tex][tex](32 * x) + (32 * 32) = (28 * 20) + (28 * 28)[/tex][tex]32x + 1024 = 560 + 784[/tex]Simplify the expression
[tex]32x + 1024 = 1344[/tex]We now have a simple expression where we can now subtract both sides by 1024 to help isolate x with its coefficient.
Subtract 1024 from both sides
[tex]32x + 1024 - 1024 = 1344 - 1024[/tex][tex]32x = 1344 - 1024[/tex][tex]32x = 320[/tex]The final step that we have to help fully isolate x by itself is to divide both sides by 32 which would remove the coefficient from x.
Divide both sides by 32
[tex]\frac{32x}{32} = \frac{320}{32}[/tex][tex]x = \frac{320}{32}[/tex][tex]x = 10[/tex]After simplifying the expression completely, we are able to see that the best option that fits our description is option A, 10.
Two points A and B whose heights differ by 10 metres are shown 1.2 cm apart horizontally on a map whose scale is 1: 10 000. a) Work out the actual horizontal distance between A and B.
Answer:
120 meters
Step-by-step explanation:
1.2 x 10 000 = 12000 cm = 120 meters
PLEASE ILL GIVE 25 POINTS ANS MARK BRAINIEST IF SOMEONE GIVES ME THE RIGHT ANSWER PLEASE PLEASE PLWASE
Answer:
Radius:3.14
Circumference: 6.28
Step-by-step explanation:
C=2(pi)(r)
replace r with 1
and you get 6.28
R=(pi)(r)^2
Replace r with 1
multiply and you get 3.14
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8.
Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget
of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?
Answer:
16 new releases and 22 classic movies.
What is the solution to the following system of equations? (2 points) y = x2 + 10x + 11 y = x2 + x − 7
Answer:
y=x^(2)+10x+11,y=x^(2)+x-7
Step-by-step explanation:
I think so bro
Step-by-step explanation:
I assume you mean
y = x² + 10x + 11
y = x² + x - 7
well, I subtract equation 2 from equation 1 :
0 = 9x + 18
9x = -18
x = -2
y = x² + x - 7 = (-2)² - 2 - 7 = 4 - 2 - 7 = -5
the solution (the intersection point of both graphs) is the point (-2, -5).
Simplyfy 56 64 I want to simplify
Answer:
56/64 simplified is 0.875 or 7/8 as a fraction
Which of the following numbers is shown plotted on the number line ?
A convenience store was charging $3.83 for a
bag of chips but raised the price 13%. The new price after the increase is $4.33.
Enter an expression to show how the new price
was calculated.
Answer:
See below
Step-by-step explanation:
4.33 = 3.83 * (1.13) .13 is decimal for 13%
9,10,12,x,20,25 find x the median is 14
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
12+16=28
28/2=14
please give brainliest!
hope this helps :)
How should this model be completed to represent 605 ÷ 18?
Answer:
Check the attached image
a group of 20 students in four adults are going on a field trip to the museum What is the ratio of students to adults complete the statement.
Answer:
5:1
Step-by-step explanation:
Originally the ratio is 20:4
but then it is simplified to 10:2
then 5:1
Hola alguien me podría ayudar con este problema :< porfa
Answer:
8= 24b
8/8=24b/8
b=3
Step-by-step explanation:
Based on my own learning
A 7-pack of DVDs costs $31.71. What is the unit price?
The unit price of each is $4,53
Unit price is the value of each separate item. As per the listing, 7 DVD packs in total are $31,75. So, to know the value of each DVD, let's divide the total value - by the 7 DVDs.
$31,75 ÷ 7 = $4,53
Therefore, the unit value of each DVD is $4,53
Use the strategy to simplify 4√576
Write the prime factorization of the radicand.
[tex]\begin{array}{r|l}576&2\\288&2\\144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}[/tex]
[tex]576=2^6\cdot3^2[/tex]
Therefore
[tex]4\sqrt{576}=4\sqrt{2^6\cdot3^2}[/tex]
A patient has been prescribed 1 gram (g) of Drug A. The stock dose is available in 250 milligram (mg) tablets. How many tablets would you administer per dose?
The number tablets per dose of drug A to be administered on the patient is 4 tablets
Quantity conversion1 gram = 1000 milligram
Drug A provided = 1 gramDose = 250 milligramNumber of tablets to administer = Drug A provided / Dose
= 1 gram / 250 milligram
= 1000 milligram / 250 milligram
Number of tablets to administer = 4 tablets
Therefore, the number tablets per dose of drug A to be administered on the patient is 4 tablets
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In a study of patients arriving at a hospital emergency room, the gender of the patients is considered, together with whether the patients are younger or older than 30 years of age, and whether or not the patients are admitted to the hospital. It is found that 45% of the patients are male, 30% of the patients are younger than 30 years of age, 15% of the patients are females older than 30 years of age who are admitted to the hospital, and 21% of the patients are females younger than 30 years of age. What proportion of the patients are females older than 30 years of age who are not admitted to the hospital?
The probability of patients are females older than 30 years of age who are not admitted to the hospital is 0.19
How to calculate the probability?The probability of patients who are females and are admitted will be 0.15. The probability of those younger than 30 years will be 0.21.
The proportion of the patients are females older than 30 years of age who are not admitted to the hospital will be:
= [(1 - 0.45) - 0.21] - 0.15
= 0.19
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Solve the equation sin 79.5° = cos 2x
Answer:
x=5.24-9+180n,174.75+180n
Step-by-step explanation:
Please Urgent help,,,,
Answer:
This is the i-ready test, you have to try your best because if someone were to give you the answer, that will be cheating. The test provides teachers with a complete picture of student performance relating to their grade level and national norms. So, just try your best so you can get the lessons that are right for you.
(Im just saying but you don't have to listen to me ^^)
How many 5-digit numbers are there, that are "even"? Show all work/ calculations.
Answer: The correct answer is 13776.
Explanation: There are 3024 five-digit numbers that begin with the digit 4 with no repetition.
Could someone explain and show how to solve these
The answers to the given question are as follows:-
1. Cos(∠mA) = [tex]\dfrac{3}{5}[/tex]
2. Sin(∠mA) = [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex]
3. Tan(∠mB) = [tex]\dfrac{b}{a}[/tex]
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
The angles will be calculated by using trigonometric identities.
1. For the first triangle:-
Cos∠mA = [tex]\rm \dfrac{Base}{Hypotenuse}[/tex]
We can see in the first triangle base is 3 and the hypotenuse is 5.
Cos∠mA = [tex]\dfrac{3}{5}[/tex]
2. For the second triangle:-
Sin∠mA = [tex]\rm \dfrac{Perpendicualr }{Hypotenuse}[/tex]
We can see in the first triangle Perpendicular is √20 and the hypotenuse is √35.
Sin∠mA = [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex]
3. For the third triangle:-
Tan∠mB = [tex]\rm \dfrac{Perpendicualr }{Base}[/tex]
We can see in the first triangle Perpendicular is b and the Base is a.
Tan∠mA = [tex]\dfrac{b}{a}[/tex]
Therefore answers to the given question are as follows:-1. Cos(∠mA) = [tex]\dfrac{3}{5}[/tex]2. Sin(∠mA) = [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex] and 3. Tan(∠mB) = [tex]\dfrac{b}{a}[/tex]
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Write the equation of the graph of y = cos(x) was shifted downwards by 3 units, shrink horizontally by a fourth of a unit, inverted horizontally and shifted 60° to the left. if it has an amplitude of 5 units.
The equation of the transformed function is y = 5cos(x/4 + 60) - 3
How to determine the equation?The equation of the graph is given as:
y = cos(x)
The rule of downward shift is:
(x, y) ⇒ (x, y - h)
So, the function when shifted downwards by 3 units is
y = cos(x) - 3
The rule of horizontal shrink is:
(x, y) ⇒ (x/k, y)
So, the function when shrink horizontally by a fourth unit is:
y = cos(x/4) - 3
The rule of left shift is:
(x, y) ⇒ (x +h, y)
So, the function when shifted left by 60 units is
y = cos(x/4 + 60) - 3
The amplitude is given as:
A= 5
So, we have:
y = 5cos(x/4 + 60) - 3
Hence, the equation of the transformed function is y = 5cos(x/4 + 60) - 3
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(PLEASE SOMEONE HELP BRO). Use the drop-down to complete the following inequality. 
Answer:
<
Step-by-step explanation:
negative + positive = positive - positive
positive - negative = positive + positive
a = positive b = negative
a+b < a-b
Answer:
<
a + b is smaller than a - b as b is in the realm of negative numbers.
( brain + 95 points ) A triangular prism has a height of 10 cm and the triangle has a base of 4 cm and a height of 6 cm. Find the volume of the triangular prism.
Area of base
1/2BH1/2(4)(6)2(6)12cm²Volume
Area of base× height12(10)120cm³Solve this for me please
Answer:
a=11,b=7 Is the correct answer
Please mark me as brainliest
Answer:
a = 11 and b = 7
Step-by-step explanation:
Multiply numerical values 5 x (-4) then add exponents of like terms x⁷(x⁴) = x¹¹ then y²(y⁵) = y⁷
find the perimeter of a triangular field whose length of edges are 14 m, 12m 10 m Also find the length of required to fence 4 times around it?
Answer: 36 m, 144 m
Step-by-Step Explanation:
a = 14 m
b = 12 m
c = 10 m
Perimeter = a + b + c
Therefore,
= a + b + c
= 14 + 12 + 10
= 26 + 10
=> 36
Perimeter = 36 m
Length of Fence required for Fencing 4 times = Perimeter * 4
Therefore,
= Perimeter * 4
= 36 * 4
= 144
Length of Fence required for Fencing 4 times = 144 m
pls help, thank you!!
Answer: 1, 3
For a cubic polynomial, there are either 3 real roots or 1 real root nad 2 complex roots in a conjugate pair.