Answer:
Square root of 29.
Step-by-step explanation:
Distance = sqrt(2^2 + (-5)^2)
= sqrt 29.
A triangle has angle measurements of 44 degrees,87 degrees, and 49 degrees. What kind of triangle is it? acute,right, and obtuse.
A 15% tip on a restaurant bill is $3.60. How much is the bill?
A. $12.60
B. $18.60
C. $24.00
D. $54.00
The cost of bill is,
⇒ $24
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
A 15% tip on a restaurant bill is $3.60.
Now,
Let the cost of bill is, $x
Hence, We can formulate;
⇒ 15% of x = 3.60
⇒ 15x/100 = 3.60
⇒ 15x = 360
⇒ x = 360 / 15
⇒ x = 24
Thus, The cost of bill is, $24
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Find a unit vector in the direction of the given vector.
v = 9i − 6j
Given:
The given vector is:
[tex]v=9i-6j[/tex]
To find:
The unit vector in the direction of the given vector.
Solution:
If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is
[tex]\hat v=\dfrac{v}{|v|}[/tex]
Where, [tex]|v|=\sqrt{a^2+b^2[/tex]
We have,
[tex]v=9i-6j[/tex]
Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,
[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]
[tex]|v|=\sqrt{81+36}[/tex]
[tex]|v|=\sqrt{117}[/tex]
[tex]|v|=3\sqrt{13}[/tex]
Now, the unit vector in the direction of the given vector is:
[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]
Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].
On Wednesday 72% of the customers who bought gas at a gas station also bought a hot dog. There were 25 customers in all who bought gas.
Answer:
18 People bought hot dogs
Step-by-step explanation:
The question is not complete, but I’m assuming you need the number of people who bought hot dogs.
25 customers bought gas.
72% of them also bought a hot dog.
So thE number of customers who bought hot dogs are 72% of 25
=> 72/100 * 25
=> 0.72 * 25
= 18 people
The length of a rectangle is represented by the polynomial 2x^3-5x^2+8 and the width is represented by the polynomial x+3. Complete the following statements about the polynomial that represents the area of the rectangle
Answer:
Area = 2x^4 + x^3 - 15x^2 + 8x + 24
Step-by-step explanation:
A = (x + 3)(2x^3 - 5x^2 + 8)
A = 2x^4 - 5x^3 + 8x + 6x^3 - 15x^2 +24
combine like terms:
Area = 2x^4 + x^3 - 15x^2 + 8x + 24
Write an expression that represents the perimeter of a trapezoid with side lengths z+5,8z-10, 4z+9, and 3z-6
Answer:
Perimeter = (16z - 2)
Step-by-step explanation:
Perimeter of a polygon = sum of the lengths of all sides of the polygon
Sum of all sides of the trapezoid = (z + 5) + (8z - 10) + (4z + 9) + (3z - 6)
By adding like terms,
Perimeter of the trapezoid = ( z + 8z + 4z + 3z) + (5 - 10 + 9 - 6)
= 16z - 2
Therefore, expression representing the perimeter of the trapezoid will be,
(16z - 2)
HELPP PLEASE!!!!!!!!
Answer:
51.0feet
Step-by-step explanation:
To get the length of the given diagonal, we will use pythagoras theorem as shown;
First we need to get the diagonal of the base;
d² = 40²+30²
d² = 1600+900
d² = 2500
d = √2500
d = 50ft
The diagonal of the base is 50ft
Get the required diagonal
Let the required diagonal be x
x² = 10²+50²
x² = 100+2500
x² = 2600
x = √2600
x = 50.99feet
Hence the distance of the red line is 51.0feet to the nearest tenth
i’m really confused 2 2/ 3 + 4 4/ 5
Answer:
7 7/15
Step-by-step explanation:
Thomas is opening a savings account. Which integer represents his possible balance after making a deposit
A -10
B-5
C 0
D 10
find the volume of this shape please helppp
.
[tex] = 1.540 \: {cm}^{3} [/tex]
.
Explain.
Use this formula :
[tex] = \pi \times {r}^{2 } \times t[/tex]
[tex] = \frac{22}{7} \times {( \frac{14}{2} )}^{2} \times 10 \\ [/tex]
[tex] = \frac{22}{7} \times {7}^{2} \times 10 \\ [/tex]
[tex] = \frac{22}{ \cancel7} \times \cancel{49} \times 10 \\ [/tex]
[tex] = 22 \times 7 \times 10[/tex]
[tex] = 154 \times 10[/tex]
[tex] = 1.540 \: {cm}^{3} [/tex]
.
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gak bisa bahasa inggris :(Which describes the cross section of the square prism that passes through the vertices A, B, C, and D shown
Below
Answer:
first of all,
Step-by-step explanation:
In triangle ABC one side equal and two sides equal
Step-by-step explanation:
We are given a prism whose base is square with sides 8 in and height 12 in.
If we take cross section through vertices A, B and C
We will get a cross section as triangle.
In triangle ABC, sides are AB, BC and AC
AB is diagonal of top square whose side 8 in.
AC is face diagonal of front face.
BC is face diagonal of right face.
AC=BC≠AB
Hence, In triangle ABC one side equal and two side equal
Hope this helps!!
f(x) = -2^2 + 6x + 1
f(5) =
613 Step-by-step explanation:
Which of the following numbers are less than -0.60? Select all that apply.
- 4/5
-0.65
- 1/6
-0.99
Answer:
0..99
Step-by-step explanation:
Bill is a painter, who has been hired to paint a house.
• He receives an houry rate of $35 an hour.
• The materials Bill had to purchase cost $50 for the job.
• The amount of money Bill makes in profit, after working "x" hours, is modeled by the function:
f(x) = 352 – 50
Determine Bill's profit after working 10 hours.
Answer: 300
Step-by-step explanation: Math - 35X10-50
I may be wrong sorry!
Replace x with 10 in the given function.
We are seeking f(10).
f(10) = 35(10) - 50
f(10) = 350 - 50
f(10) = 300
After 10 hours, Bill's profit is $300.
He base rate for a state's workers compensation insurance for a service station attendant is $5.12 per $100.00 paid in wages the payroll for scott park service station for march is 5,784.00. What is the monthly premium for workers compensation insurance?
Answer:
$2961.41
Step-by-step explanation:
Base rate for a state workers compensation insurance = $5,12 per $100 paid in wages
Scott park payroll for march = $5784 ( inclusive of insurance payment )
Determine the monthly premium for insurance
$5.12 = $100
First; calculate how many $100 are in $5784
= 5784 / 100 = 578.4
Hence the monthly premium for workers compensation insurance
= $5.12 * 578.4
= $2961.41
A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza or steak?P(pizza or steak)
Answer:
To find the experimental probability you have to find the number of times the event occurred and the number of times the activity is preformed then divide the two numbers
Step-by-step explanation:
I’m not quite sure on the answer I believe it’s 1.3
have a great day!
brainliestif correct I need 4 more to rank up thanks!
t = mx
Solve equation for m
Answer:
M=t/x
Step-by-step explanation:
I love these math problems! Do u have more? I really need something 2 do
what is this value? giving thanks and marking brainliest :)
Answer:
x = 23 degress
Step-by-step explanation:
(x + 2) + 65 = 90
x + 2 = 25
x = 23 degress
BRAINLIEST Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your answer
What is an equation of the line that passes through the point -5,7 and is parallel to the line x-5y=15
Answer:
Step-by-step explanation:
Let line to be found be Line 2
Given:
Line 1
x - 5y = 15
x - 15 = 5y
Therefore slope = 1/5
Line 2
Point = (-5,7)
Slope = 1/5
Therefore: 7 = (1*-5)/5 + c
=> 7 = -1 + c
=> c = 8
Therefore equation: y = x/5 + 8IN EFG the measure of G=90 DG=21 feet and EF=63 feet find the measure of E to the nearest degree.
Answer:
19.5°
Step-by-step explanation:
IN EFG the measure of G=90 DG=21 feet and EF=63 feet find the measure of E to the nearest degree.
We solve the question using Sine rule
= a/sin A = b/sin B
= 21/sin E = 63/sin 90
Cross Multiply
Sin E × 63 = 21 × sin 90
sin E = 21 × sin 90/63
E = arc sin( 21 × sin 90/63)
E = 19.47122°
Approximately = 19.5°
These two polygons are similar.
4
2
9
16
15
w
w = [? ]
45 points asap for anyone who can answer
What is the correct factorization of
x2 - 11x + 18?
Answer:
(x-2)*(x-9)
Step-by-step explanation:
hope this helps!!
A circular plate has circumference 17.6 inches. What is the area of this plate?
Answer:
A≈24.65in²
Step-by-step explanation:
A=πr2
C=2πr
Solving forA
A=C2
4π=17.62
4·π≈24.64992in²
Happy Friday!
CAN SOMEONE PLS HELP I RLLY NEED HELP ASAP ANY HELP WOULD BE ENOUGH PLS AND TY PLS
Answer:
x = 25°
Step-by-step explanation:
The secant- secant angle is half the difference of the intercepted arcs, that is
x = [tex]\frac{1}{2}[/tex] (80 - 30)° = 0.5 × 50° = 25°
Answer:
x = 25°
Step-by-step explanation:
Hope this helps
Can someone help me with this equation?
Answer:
so far i think 9 but that's all I know for how
Step-by-step explanation:
image them turning into triangles
I need help its not 4236
Answer: 4236
Step-by-step explanation: I used a calculator. If it's wrong, tell your teacher/instructor.
GIVING BRAINLIEST!!!!!!
In which step does a mistake first occur? (24+3+10)-14+2
Step1: (8+10)-14+2
Step 2: 18-14+2
Step3: 4+2
Step 4: 2
HELPPPPPPPPPPP MEEEEE
Answer:
The answer is F
She read it incorrectly
Step-by-step explanation:
Please help me
Please, I beg you.
Answer:
a reflection followed by a translation
Step-by-step explanation: