Answers
On solving the question we can say that so the other side of triangle is \(B = \sqrt324\), therefore the angle will be \(cos^{-1} (0.38)\).
What precisely is a triangle?A triangle is a closed two-dimensional geometric object consisting of three line segments, called edges, that intersect at three places called vertices. Triangles are distinguished by their sides and angles. A triangle can be equilateral (all sides equal), isosceles, or odd, depending on the sides. Triangles are classified as acute (any angle less than 90 degrees), right (angles equal to 90 degrees), or obtuse (any angle greater than 90 degrees). The area of a triangle can be calculated using the formula A = (1/2)bh. where A is the area, b is the base of the triangle, and h is the height of the triangle.
here two sides of the triangle are given that are 19.5 and 7.5
so by
\(A^2 = B^2 + C^2\\B^2 = 19.5^2 - 7.5^2\\B^2 = 380.25 - 56.25\\B^2 = 324\\B = \sqrt324\)
so the other side is \(B = \sqrt324\), therefore the angle will be \(cos^{-1} (0.38)\).
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Related Questions
2. A coordinate grid is used to make a map of the park. The location of the drinking fountain is (-4, 2) ; the location of the bench is (0, 2) ; and the location of the center of the slide is (0, 5).
(a) What is the distance from the drinking fountain to the bench? What is the distance from the bench to the center of the slide? Explain your reasoning.
(b) What type of triangle is created by the three locations? Explain.
Answers
Answer:
(A) The distance from the drinking fountain to the bench is 4, and the distance from the bench to the center of the slide is 3 because if you add -4 and 0 you will get 4 and if you subtract 5 and 2 you will get 3.
(B) The type of triangle that is created is an obtuse triangle because when you connect the 3 locations it creates an obtuse triangle on the coordinate grid.
Step-by-step explanation:
I already explained in the answer. Hope this helps and gets you an 100%
:)
Answer:
4 units, 3 units
(b) Right-angled triangle
Step-by-step explanation:
Question
Drag each description to the correct location on the table.
Examine the equation to determine if the descriptions listed are key features of the function or not.
Answers
Answer:
Key Feature: - decreasing, As x approaches -(infinite), y approaches (infinite), As x approaches (infinite), y approaches a constant.
Not a Key feature: increasing, As x approaches (infinite) y approaches (infinite), As x approaches -(infinite) y approaches -(infinite), & As x approaches -(infinite) y approaches a constant.
Step-by-step explanation:
What is -20/2(7 2/3)
Answers
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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the product of four less than a number and nine is fifteen
*Need help on this please
Answers
Answer:
The easiest way is to determine what number times 9 equals 15.
9x = 15
x = 15 / 9 = 5/3
The original number is 4 + 5/3 = 5 (2/3)
Then we look at the problem again,
5 and (2/3) minus 4 = 5/3 and
5/3 * 9 = 45/3 = 9
Step-by-step explanation:
Write the opposite of 47
Answers
Answer:
-47
Step-by-step explanation:
Answer:
-47
Step-by-step explanation:
The opposite of a number is just the number on the opposite side of zero on the number line.
For example, the opposite of 5 is -5.
The ratio of Kelly's money to Vera’s money was 7:3. After Kelly spent $35, she had $9 more than Vera. How much money did each girl have at first?
Answers
Find the value of each variable.
Answers
Answer:
Step-by-step explanation:
The sum of exterior angles in a quadrilateral is always 360 degrees.
So, 2x+x+4x+3x=10x=360
Soling for x, we get x=36 degrees.
Tonya leaves home on her motorcycle and travels 12 miles east and 7 miles north. How far in Tonya from her original starting point?
Answers
The distance is 13.892 miles.
Given:
Distance travelled in east is 12 miles.
Distance travelled in north is 7 miles.
The objective is to find how far is tonya from the starting point.
The distance between starting point and ending point can be calculated using Pythagorean theorem.
Consider the given figure as,
By applying Pythagorean theorem,
\(AC^2=AB^2+BC^2\)Now, substitute the given values in the above formula.
\(\begin{gathered} x^2=12^2+7^2 \\ x^2=144+49 \\ x^2=193 \\ x=\sqrt[]{193} \\ x=13.892 \end{gathered}\)
What is the solution to the equation?
−24x=−3
Enter your answer in the box.
x =?????????? 10 points!!!!11
Answers
through my calculations x=8
Answer:
x=⅛ 1 over 8
Step-by-step explanation:
negative 24 divide by negative 3 gives as 1 over 8
1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain)
Answers
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
A ball is thrown into the air with an upward velocity of 35 ft/s. Its height, h, in feet after t seconds is given by the function h(t) = -16t2 + 35t + 5.5. When will the ball reach a height of 13.25 feet?
Answers
So we have 13.25=-16t2+35t+5.5
Using the quadratic formula we have the ball will reach after 0.398 second or after 1.790 seconds
help meeeeee pleaseee !!!!!!!!!
Answers
Answer:
74.52
Step-by-step explanation:
\(P(10)=0.018(10)^3-0.294(10)^2+3.074(10)+55.180 \\ \\ =74.52\)
If $2000 is invested at 5% interest, compounded annually, then after n years the investment is worth an = 2000(1.05)n dollars. (a) Find the first five terms of the sequence {an}. (Round your answers to the nearest cent.)
Answers
Answer:
The first five terms of the sequence are: 2000, 2100, 2205, 2315.25, 2431.01.
Step-by-step explanation:
The sequence is modeled by the equation:
\(a_{n} = 2000(1.05)^{n}\)
(a) Find the first five terms of the sequence {an}.
\(a_{n} = 2000(1.05)^{n}\)
\(a_{0} = 2000(1.05)^{0} = 2000\)
\(a_{1} = 2000(1.05)^{1} = 2100\)
\(a_{2} = 2000(1.05)^{2} = 2205\)
\(a_{3} = 2000(1.05)^{3} = 2315.25\)
\(a_{4} = 2000(1.05)^{4} = 2431.01\)
The first five terms of the sequence are: 2000, 2100, 2205, 2315.25, 2431.01.
pls help me
!!!!!!!!!!!!!!!!!!!!
Answers
its 50.3.2 tags: c c c cc cc c c c c ar c free car no yes show two plus pwe
3/45/6 simply this complex fraction
Answers
Answer:
1/15/2
Step-by-step explanation:
Divide all the numbers by 3 (the lowest common denominator)
Answer:
90
Step-by-step explanation:
3/45×1/6=3/270=90
Which relation is the factored form of f(x)=x^2-4x+4
a) f(x)=(x-2)^2
b) f(x)=(x+4)(x-1)
c)f(x)=4(x-1)^2
d)f(x)=(x-2)(x+2)
Answers
Answer:
answer is a) f(x)= (x-2)^2
simplify radical -50
Answers
Answer:
\(5i\sqrt{2}\)
Step-by-step explanation:
If we want to convert \(\sqrt{-50}\) into a radical simplified, we need to find two numbers that multiply to be -50 and one of them can be squared.
\(\sqrt{-50} = \sqrt{-25 \cdot 2}\)
The square root of -25 is 5i.
So:
\(5i\sqrt{2}\)
Hope this helped!
Answer: \(=5i\sqrt{2}\)
Step-by-step explanation:
\(\sqrt{-50}=\sqrt{-1}\sqrt{50}\)
\(\sqrt{-1}\sqrt{50}\)
\(\sqrt{5^2\cdot \:2}\)
\(=\sqrt{2}\sqrt{5^2}\)
\(\sqrt{5^2}=5\)
\(=5\sqrt{2}\)
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answers
b. 10^27
c. 10^18
d. 10^6
e. 10^6
f. 10^35
multiply the exponents.
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
what is a direct proportion.
Answers
Answer:
a proportion of two variable quantities when the ratio of the two quantities is constant. Hope this helps!
Step-by-step explanation:
Answer:
a proportion of two variable quantities when the ratio of the two quantities is constant.
Step-by-step explanation:
Given that F(x)=6x+4 and g(x)=4-x^2, calculate (a) F(g(0))=(b) g(F(0))=
Answers
Solution:
Given the functions below
\(\begin{gathered} F(x)=6x+4 \\ g(x)=4-x^2 \end{gathered}\)a) For F(g(0))
Firstly, F(g(x) will give
\(\begin{gathered} \left(F∘g\right)\left(x\right)=F\mleft(g\mleft(x\mright)\mright)=6(4-x^2)+4=24-6x^2+4=28-6x^2 \\ F(g(x))=28-6x^2 \\ F(g(0))=28-6(0)^2=28-0=28 \\ F(g(x))=28 \end{gathered}\)Hence, F(g(0)) is 28
b) For g(F(0))
Firstly, g(F(x) will give
\(\begin{gathered} g\mleft(F(x)\mright)=4-(6x+4)^2=4-36x^2-48x-16=-36x^2-48x-12 \\ g(F(0))=-36(0)^2-48(0)-12=0-0-12=-12 \\ g(F(x))=-12 \end{gathered}\)Hence, g(F(0)) is -12
what are the answer and processes? 5x-9=11
Answers
Hope this helps
Answer: x=4
Step-by-step explanation:
5x-9=11
5x=11+9
5x=20
X=4
which model of 85% is shaded
Answers
Answer:
You have no examples of models
Step-by-step explanation:
How many kilograms of steel comprised of 6 % nickel needs to be mixed with steel comprised of 14 % nickel
to produce 2000 kg of steel comprised of 8 % nickel?
Answers
600 kg of steel comprised of 6% nickel needs to be mixed with 1400 kg of steel comprised of 14% nickel to produce 2000 kg of steel comprised of 8% nickel.
what is linear equation ?
A linear equation is an algebraic equation that represents a straight line when it is graphed on a coordinate plane. It is an equation of the form:
y = mx + b
where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line crosses the y-axis). The slope represents the rate of change of y with respect to x and determines the steepness of the line. The y-intercept represents the value of y when x is zero.
Let x be the amount (in kg) of the steel comprised of 6% nickel that needs to be mixed with y kg of steel comprised of 14% nickel to produce 2000 kg of steel comprised of 8% nickel.
To solve for x and y, we can set up two equations based on the amount of nickel in the resulting mixture:
Equation 1: The amount of nickel in the steel comprised of 6% nickel is 0.06x kg
Equation 2: The amount of nickel in the steel comprised of 14% nickel is 0.14y kg
Since we want to produce 2000 kg of steel comprised of 8% nickel, we can set up a third equation based on the amount of nickel in the resulting mixture:
Equation 3: The amount of nickel in the resulting mixture is 0.08(2000) = 160 kg
Now we have three equations with two unknowns:
Equation 1: 0.06x = 160 - 0.14y
Equation 2: y = 2000 - x
Equation 3: 0.06x + 0.14y = 160
We can substitute equation 2 into equations 1 and 3 to get rid of y and solve for x:
0.06x = 160 - 0.14(2000 - x)
0.06x + 0.14(2000 - x) = 160
Solving these equations gives:
x = 600 kg
y = 1400 kg
Therefore, 600 kg of steel comprised of 6% nickel needs to be mixed with 1400 kg of steel comprised of 14% nickel to produce 2000 kg of steel comprised of 8% nickel.
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You might need:
A circle is centered at J(3,3) and has a radius of 12.
Where does the point F(-6, -5) lie?
Choose 1 answer:
Answers
Answer:
Step-by-step explanation:
The equation of this circle is (x - 3)^2 + (y - 3)^2 = 12^2.
Let's substitute the coordinates of the given point and compare the results to the above equation: do they produce a correct statement?
(-6 - 3)^2 + (-5 - 3)^2 = ?
9^2 + 8^2 = 145
Because r = 12, the above result would need to be 144, not 145, if the given point were actually on the circle. We must conclude that (-6, -5) lies just outside the circle.
81 + 64 = 144
1/2 (2x + 5) = 3/4 (x + 1) + 5/2 show your work!!:)
Answers
Answer: 0
Step-by-step explanation:
1/2(2x+5)=3/4(x+1)+5/2
distribute 1/2 to 2x and 5
distribute 3/4 to x and 1
1/4x+5/2=5/2
subtract 5/2 to 5/2
1/4=0
multiply 1/4 by the reciprocal
4/1*1/4=0*4/1
Answer= 0
A sphere and its dimension are shown in the diagram 15 inches
Answers
The measurement that is closest to the volume of the sphere is given as follows:
1,767.1 in³.
What is the volume of an sphere?The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:
\(V = \frac{4\pi r^3}{3}\)
From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:
r = 0.5 x 15
r = 7.5 units.
Then the volume of the sphere is given as follows:
V = 4/3 x π x 7.5³
V = 1,767.1 in³.
Missing InformationThe sphere is given by the image presented at the end of the answer.
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Explain how you can use multiplication to find the volume of the figure. Then find the volume.
Answers
Answer:
To find the volume, you multiply length times width times height.
3x2x4
voluume = 24
Step-by-step explanation:
Answer: You can use multiplication by as shown below:
(Base) Height
(L*W)H
(3*2)4
(6)4
VOLUME = 24units^3
I show the formula, substitution, and the answer for you.
Please mark the brainliest I would appreciated very much and I hope this helps you, and I hope you learn from this. :)
Samuel ran 8 miles on Monday, 4.25 miles on Tuesday, and 3.3 miles on
Wednesday. How far did he run in all
Answers
Answer: 15.55 miles
Step-by-step explanation:
in 3 days, Samuel ran 8+4.25+3.3=15.55 miles
Answer:
12.5miles
Step-by-step explanation:
8+4.25+3.3=12.5miles
Question Progress
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a) Factorise x² + 5x-14
b) Solve x² + 5x-14= 0
Answers
After solving the quadratic equation, the roots are (x - 2) and (x + 7).
What is a Quadratic function?To determine values for various parameters, quadratic functions are employed in a variety of engineering and scientific disciplines. A parabola is used to graphically illustrate them.
The direction of the curve is determined by the highest degree coefficient. Quadratic is a derivative of the term quad, which signifies square.
As per the given equation in the question,
x² + 5x - 14 = 0
b² - 4ac
5² - 4(1)(-14)
25 + 56 = 81
Use the equation,
-b ± \(\sqrt{b^2-4ac}/2a\)
Substitute the values,
(-5 + 9)/2 = 2 and,
(-5 - 9)/2 = -7
Therefore, the root will be (x - 2) and (x + 7).
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3. A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The
cost per photo varies inversely with the number of photos a customer buys, as shown in the table below.
What function models the data?
Answers
To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.
To model this relationship, we can use the inverse variation equation, which can be expressed as:
y = k/x
Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.
Let's examine the data given in the table to find the value of k:
Number of Photos (x) Cost per Photo (y)
10 10
25 4
50 2
100 1
We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):
2 = k/50
Solving for k:
k = 2 * 50 = 100
Now that we have the value of k, we can write the function that models the data:
y = 100/x
Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.