Answer:
negative five times x, parenthesis four plus three times x
Step-by-step explanation:
Hey there!
Well,
-5x ⇒ negative 5 times x
(4 + 3x) ⇒ parenthesis four plus three times x
Hope this helps :)
select all options that represents the side lengths of a 30 60 90 triangle.
Answer:
Options (B) and (D)
Step-by-step explanation:
If a triangle is a 30° - 60° - 90° triangle, measure of the angle between the leg and hypotenuse will be either 60° or 90°.
Therefore, by applying Cosine rule in the given options.
c² = a² + b² - 2abCosC
All the given options are the right triangles.
[Since they follow the Pythagoras theorem]
Option (A),
Angle between the sides having measures 3 and 5 units,
4² = 3² + 5² - 2(3)(5)CosC
16 = 9 + 25 - 30.CosC
30.CosC = 18
[tex]C=\text{Cos}^{-1}(\frac{5}{6} )[/tex]
C = 33.56°
Therefore, this triangle is not a 30-60-90 triangle.
Option (B),
Angle between the sides measuring 5 and 10 units,
[tex](5\sqrt{3})^2=5^2+10^2-2(5)(10)\text{CosC}[/tex]
75 = 125 - 100(CosC)
Cos(C) = 0.5
C = 60°
Therefore, other angles of the triangle will be 30° and 90°.
And it's a 30°-60°-90° triangle.
Option (C),
10, 10, 10√2
It's a right triangle and the measure of legs are equal.
Since legs of this sides are equal, angles opposite to these equal sides will be equal.
Sum of all interior angles = 180°
m∠A + m∠B + m∠C = 180°
If m∠B = 90°
m∠A + 90° + m∠C = 180°
2(m∠A) = 90°
m∠A = 45°
Therefore, the given sides make a 45°- 45°- 90° triangle.
Option (D).
Angle between the sides 3 and 6,
(3√3)² = 3² + 6² -2(3)(6)CosC
27 = 9 + 36 - 36.(CosC)
CosC = [tex]\frac{18}{36}[/tex]
C = [tex]\text{Cos}^{-1}(\frac{1}{2})[/tex]
C = 60°
Therefore,
These sides make a 30°- 60°- 90° triangle.
Options (B) and (D) are the 30°- 60°- 90° triangle.
Whats the volume of a ball if diameter is 17
Answer:
818.8333333 *pi
or
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
Step-by-step explanation:
We need the radius
r = d/2
r = 17/2 = 8.5
We can find the volume using
V = 4/3 pi r^3
V = 4/3 pi ( 8.5)^3
V =818.8333333 *pi
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
Which expression represents the measure of segment RS
Answer:
C. x + 5
Brainliest, please!
Step-by-step explanation:
RS = 4x + 1 - (3x - 4)
RS = 4x + 1 - 3x + 4
RS = x + 5
surface area of sphare
Surface area of sphere is what referred to as Total surface area or lateral surface area because here the surface is curved everywhere.
[tex] \large{ \boxed{ \rm{ \orange{Surface \: area \: of \: sphere = 4\pi {r}^{2} }}}}[/tex]
Total surface area of other 3-D shapes:
Cuboid = 2(lb + bh + hl)Cube = 4s²Cylinder = 2πr(r + h)Cone = πr(l + r)Hemisphere = 3πr²Lateral surface area of these shapes:
Cuboid = 2h(l + b)Cube = 6s²Cylinder = 2πrhCone = πrlHemisphere = 2πr²━━━━━━━━━━━━━━━━━━━━
2. (01.01 MC)
Clifford is paid $4.50 per hour plus time and a half on holidays and makes an average of 18% tips on his food sales as a server at the local seafood restaurant. This is
modeled by the expression 4.50(x) + 4.50(1.5)(v) + 0.18(2). What is Clifford's gross pay if he worked 22 regular hours and 8 holiday hours and had $1,892 in food sales?
(2 points)
A 153$
B 475.56
C 493.56
X = regular hours, v is overtime
Replace the letters with the given hours and sales:
4.50(22) + 4.50(1.5)(8) + 0.18(1892)
Simplify:
99 + 54 + 340.56
Add everything together:
493.56
He made C. $493.56
A function assigns the values. Clifford's gross pay is $493.56. The correct option is C, $493.56.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the function to calculate total amount that is made by Clifford is modeled as,
A = 4.50(x) + 4.50(1.5)(v) + 0.18(d),
where x represents the regular hours, v represent the holiday hours and d represents the sales made by Clifford.
Now, as it is given that Clifford worked 22 regular hours and 8 holiday hours and had $1,892 in food sales. Therefore, if plug the values in the function then,
A = 4.50(x) + 4.50(1.5)(v) + 0.18(d)
A = 4.50(22) + 4.50(1.5)(8) + 0.18(1892)
= 99 + 54 + 340.56
= 493.56
Hence, Clifford's gross pay is $493.56.
Learn more about Function here:
https://brainly.com/question/5245372
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When computing the standard deviation, does it matter whether the data are sample data or data comprising the entire population? Explain. Yes. The formula for s is divided by n, while the formula for σ is divided by N − 1. Yes. The formula for s is divided by n − 1, while the formula for σ is divided by N. No. The formula for both s and σ is divided by n − 1. No. The formula for both s and σ is divided by N.
Answer:
Yes. When computing the sample standard deviation, divide by n −1. When computing the population standard deviation, divide by N
Step-by-step explanation:
What is the solution to the inequality 21x - 12x _< 54
Answer:
if the inequality symbol is ≤ then the answer is x ≤ 6. If the inequality symbol is < then the answer is x < 6.
Step-by-step explanation:
Hope this helped
please help me it for my homework
Answer:
0.45
Step-by-step explanation:
45%
=45÷100
=0.45 is decimal value
Find the length of the base and the height and calculate the area
Answer:
44
Step-by-step explanation:
base = 3- -5 = 8
height = 8 - -3 = 11
1/2 bh
1/2(8)(11) = 44
Given that h(x) = 5-2x, find the value(s) of x when h(x) =3
Answer:
x=1
Step-by-step explanation:
We have,
h(x) = 5-2x
h(x)=3
Now,
h(x)=5-2x=3
or,5-2x=3
or,5-3=2x
or,2/2=x
Therefore, x=1 when h(x)=3
Answer:
x = 1
Step-by-step explanation:
h(x) = 3
5 - 2x = 3
2x = 2
x = 1
What is negative 14 minus 5
Answer:
-19
Step-by-step explanation:
(-14)
-5
-------
14+5=19
add the negative
-19
5. There are 5,280 feet in a mile. What part of a mile, in decimal form, will you drive until you reach the exit? I NEED THIS QUICK PLZ HELP I’LL GIVE YOU 30
Answer:
5.280
Step-by-step explanation:
i did this question and got it
In a school 125 students it was found that 60 students failed in Nepali, 45 failed in English and 30 failed in both subjects.1How many students succeeded in both subjects ?
ii) ? How many were failed only in Nepali?
iii) Represent above information in a venn – diagram.
Step-by-step explanation:
125 -30 = 95..
125 - 60 = 65
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Just remember that V=½×A×B×H
where B is the base not breadth.
solving this yourself will give you the answer.
Please help me ill give brainliest!!
Answer:
3744.64
Step-by-step explanation:
To know the answer to this question you need to know the formulas to find the volume of the cylinder and the rectangular prism. The volume of a cylinder is pi*r^2*h while the volume of the rectangular prism is l*w*h. The cylinder is 1808.64 cubic in while the rectangular prism is 1936 cubic. Together, they are 3744.64 cubic in.
Answer:
cylinder= A=πr²h
=3.14×4²×9
=452.16
rectangle=A=l×w×h
=19×11×11
=2299
total area=452.16+2299
=2751.16
Step-by-step explanation:
3. E, F and G are collinear points. E is between F and G.
If FE = 3 in., and FG = 7 in., what is the length of EG?
a. 4
c. 3
I
b. 10
d. 21
Answer:
A. 4 inStep-by-step explanation:
Collinear points are points that lies on the same straight line. If the points E, F and G are collinear points, then the three points lies on the same straight line.
If E is between F and G, the FE+EG = FG
EG = FG - FE
Given FE = 3 in and FG = 7 in
On substituting into the expression above to get EG;
EG = 7in - 3in
EG = 4in
Hence the length of EG is 4in
guess what... I need more help again...!!1
Answer:
Associative Property of Multiplication
Step-by-step explanation:
Definition:
Changing the grouping of the factors, but does not change the value of the product.
Example:
(2x4)x6 = 2x (4x6)
Hope this helps!:)
PLEASE HELP ASAP! Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar.
Answer:
150/100 , would calculate out to 3/2.
Step-by-step explanation:
lest say we split the mixes up in 50 , we would use soy sauce x(3) and vinegar 2 times.
Kyle rides his bicycle 15 mph for 2 hours how far does he travel
━━━━━━━☆☆━━━━━━━
▹ Answer
30 miles
▹ Step-by-Step Explanation
Multiply mph by hours:
15 mph * 2 hrs = 30 miles
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Which equation does the graph of the systems of equations solve? 2 linear graphs. They intersect at 1,4
Answer:
See below.
Step-by-step explanation:
There is an infinite n umber of systems of equations that has (1, 4) as its solution. Are you given choices? Try x = 1 and y = 4 in each equation of the choices. The set of two equations that are true when those values of x and y are used is the answer.
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. The height (in feet) of a rocket launched from the ground is given by the function f(t) = -16t2 + 160t. Match each value of time elapsed (in seconds) after the rocket’s launch to the rocket's corresponding instantaneous velocity (in feet/second).
Answer:
The pairs are;
t, v
2, 96
4, 32
5, 0
6, -32
7, -64
9, -128
Step-by-step explanation:
The given equation is f(t) = -16·t² + 160·t
We have, the velocity, v = d(f(t))/dt = d(-16·t² + 160·t)/dt = -32·t + 160
Which gives;
t, v
0, -32×(0) + 160 = 160
1, -32×(1) + 160 = 128
2, -32×(2) + 160 = 96
3, -32×(3) + 160 = 64
4, -32×(4) + 160 = 32
5, -32×(5) + 160 = 0
6, -32×(6) + 160 = -32
7, -32×(7) + 160 = -64
8, -32×(8) + 160 = -96
9, -32×(9) + 160 = -128
The given velocity values are;
96, -64, 32, 0, -128, -32 which correspond to 2, 7, 4, 5, 9, 6
The pairs are;
t, v
2, 96
4, 32
5, 0
6, -32
7, -64
9, -128
√2+1
b) Rationalize the denominator:
√2+1
Answer:
there is not a complete question here ...
[tex]\sqrt{2} +1[/tex] is not in a denominator to rationalize
if it were you would multiply the rational expression (the fraction)
by [tex]\frac{\sqrt{2} -1}{\sqrt{2} -1}[/tex] the result (in the denominator would end up being "2 -1"
which is 1
Step-by-step explanation:
Find X in the picture
What is the correct numeral for Seventy three lakh forty thousand fifteen ? *
1 point
73,40,015
73,40,105
73,4015
Answer:
1-73,40,015 your answer
type the correct answer in the box. use numerals instead of words. what value of x makes this equation true? x/6 - 7 = -4
[tex]\dfrac{x}{6}-7=-4\\\dfrac{x}{6}=3\\x=18[/tex]
Answer:
x = 18
Step-by-step explanation:
x/6 - 7 = -4
Add 7 to each side
x/6 - 7+7 = -4+7
x/6 = 3
Multiply each side by 6
x/6 *6 = 3*6
x = 18
|10-11| = simplify the expression
Answer:
1
Step-by-step explanation:
Let's ignore the absolute value signs for a moment.
We have the expression [tex]10-11[/tex]. We know that if we subtract 10 from 10 we get 0, so if we subtract 11 from 10 we must get -1.
However, there is an absolute value sign. This means that whatever number is inside it has to be converted to a positive number.
-1 as a positive number is +1, or just 1.
Hope this helped!
HELP ILL GIVE BRAINLIEST
Answer:
linear increasing
Step-by-step explanation:
For the section labeled B, the line goes up as x increases. This means the line is increasing
Answer:
Linear increasing
Step-by-step explanation:
The slope of interval B is constant since it's a straight line, which makes it linear. The line in interval B is pointing upward so it's increasing.
PLEASEE HELP ASAP........
Answer:
(C). 126
Step-by-step explanation:
[tex]\frac{45}{x}[/tex] = [tex]\frac{65}{182}[/tex]
x = 126
Answer:
Hello,
Answer C\\
Step-by-step explanation:
Triangle EUT is similar to triangle EGF
[tex]\dfrac{EU}{EG} =\dfrac{ET}{EF} \\\\\dfrac{140-90}{140} =\dfrac{45}{EF} \\\\\\EF=\dfrac{45*140}{50} \\\\\\RF=126\\\\Answer\ C\\[/tex]
Factor x^4+xy^3+x^3+y^3 completely showing work.
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]x^4+xy^3+x^3+y^3\\\\=x^3*x+x*y^3+x^3+y^3\\\\=x(x^3+y^3)+x^3+y^3\\\\\boxed{=(x+1)(x^3+y^3)}\\[/tex]
Thank you
Help me please I need this
Answer:
2 times
Step-by-step explanation:
3/4 × 2 = 6/4, simplified down is 3/2
Answer: the answer is a