Answer:
35 miles
Step-by-step explanation:
Total Miles driven at full tank = 230 miles
Miles drive at full tank from Austin to Dallas = 195 miles
How many miles will be left once he arrives in Dallas?
Number of miles remaining at full tank = Total Miles driven at full tank - Miles drive at full tank from Austin to Dallas
= 230 miles - 195 miles
= 35 miles
In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer. If the spectator has an angle of 110° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole? 70.0° 41.1° 28.9° 19.9°
Answer:
28.9°
Step-by-step explanation:
The golfer, hole and spectator form a triangle. Let ABC be the triangle and let the angle the spectator has between the golfer and the hole be A = 110°, the angle the golfer has between the spectator and the hole be B and the angle the hole has between the golfer and the spectator be C. Let the angle between the golfer and the hole be a = 200 yards, the distance between the spectator and the hole be b and the distance between the golfer and the spectator be c = 140 yards,
Using the sine rule for the triangle, we find angle C.
So, a/sinA = b/SinB = c/SinC
So, a/sinA = c/sinC
sinC = csinA/a
C = sin⁻¹(csinA/a)
Substituting the values of the variables into the equation, we have
C = sin⁻¹(csinA/a)
C = sin⁻¹( 140sin110°/200)
C = sin⁻¹( 7 × 0.9397/10)
C = sin⁻¹(6.5778/10)
C = sin⁻¹(0.65778)
C = 41.13°
We know that A + B + C = 180° (sum of angles in a triangle)
And since the angle the golfer has between the spectator and the hole be B
So, B = 180° - (A + C)
B = 180° - (110° + 41.13°)
B = 180° - 151.13°
B = 28.87°
B ≅ 28.9°
The angle that the golfer has between the spectator and the hole is 28.9°.
Angel between spectator and holes:Using the law of sines:
BC/SinΔBAC=AB/SinΔACB
Hence,
200/Sin110°=140/SinΔACB
ΔACB=41.1°
Thus,
ΔABC=180°-ΔBAC-ΔACB
ΔABC= 180° - (110° + 41.1°)
ΔABC= 180° - 151.1°
ΔABC= 28.9°
Inconclusion the angle that the golfer has between the spectator and the hole is 28.9°.
Learn more angle here:https://brainly.com/question/25770607
solve for x pls help
Answer:
x=50
Step-by-step explanation:
The Intersecting Secant-Tangent Theorem states that if a secant and tangent line intersect outside of a circle, then
(length of the tangent line)² = (length of secant line from outside the circle to touching it) * (part of secant that is a chord). In this example, we can say that
30² = 18 * x
900 = 18 * x
divide both sides by 18 to isolate x
x=50
Find the value of x in the diagrams below
Answer:
1. x = 24
2. x = 31
Step-by-step explanation:
For number 1, 3x - 1 = 71 because opposite angles are congruent. Solving that gives us x = 24.
For number 2, 2x + 4x - 6 = 180, because they lie on the same line and a straight line is 180 degrees. Solving that gives you 6x - 6 = 180, x = 31 degrees.
Answer:
1. 24
2. 31
Step-by-step explanation:
1. opposite angles are equal
( 3x-1)°=71°
3x=72
x=24
2. remember opposite angles are equal,
180°= (2x)°+(4x-6)°
186=6x
x=31
PLEASE HELP!!
BRAINLYEST TOO 1st
9514 1404 393
Answer:
A, C
Step-by-step explanation:
Any table with no repeated x-values is a relation that is a function.
Pls help and fast! 17 points!
Answer:
54 square units
Step-by-step explanation:
144 - 18 - 4(18) = 54 square units
3 1/2 + (-5 2/3 ) ÷ ( 1 3/4)²
Answer ASAP please!
…
Answer:
"A" seems to be incorrect....
Step-by-step explanation:
"A" seems to be incorrect....
[tex]\frac{\left(\sin \left(60^{\circ \:}\right)\cdot \:300\right)}{\sin \left(90^{\circ \:}\right)}=150\sqrt{3}\quad \begin{pmatrix}\mathrm{Decimal:}&259.80762\dots \end{pmatrix}[/tex]
You invested $8,307 into stocks of a company which
were priced at $13.71/sh. How many shares did you
purchase?
Answer:
606 shares
Step-by-step explanation:
Number of shares= (Total money spent)/(Each share price)
Number of share=(8307)/13.71=605.9≈606
what is the one solution for the linear equations y=3x-5 and y=-3x+7
Answer:
y=1 and x=2
Step-by-step explanation:
Add the two linear equation and you will have 2y=2, y=1. Plugging this in any equation, we have x=2
Answer:
The solution is (2,1)
Step-by-step explanation:
Set the two equations equal
y=3x-5 and y=-3x+7
3x-5 = -3x+7
Add 3x to each side
3x-5+3x = -3x+7+3x
6x-5 = 7
Add 5 to each side
6x-5+5 = 7+5
6x = 12
Divide by 6
6x/6 = 12/6
x=2
Now find y
y =3x-5
y=3(2)-5
y = 6-5
y=1
The solution is (2,1)
a kitchen floor is 9 feet long and 6 feet wide. the number of yards of molding needed to old the linoleum around the outside edge is
Answer:
30 feet
Step-by-step explanation:
The molding needed would be equal to the perimeter of the kitchen floor. The perimeter of the kitchen floor is 2*(9+6)=30 feet
A kitchen floor is 9 feet long and 6 feet wide of rectangle, then the perimeter of the kitchen floor is 30 feet.
How to find the perimeter of a rectangle?For a rectangle with length and width L and W units, we get:
Perimeter of the rectangle = 2(L + W) \: \rm unit
A kitchen floor is 9 feet long and 6 feet wide is given.
The molding needed would be equal to the perimeter of the kitchen floor.
The perimeter of the kitchen floor = 2 (9+6)
The perimeter of the kitchen floor = 30 feet
Therefore, A kitchen floor is 9 feet long and 6 feet wide of rectangle, then the perimeter of the kitchen floor is 30 feet.
Learn more about the perimeter;
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m/HCB = 60°, m/DCB = 9x-1, and m/DCH = 2x+ 16. Find x
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
Note that ∠DCB is the sum of ∠HCB and ∠DCH. Hence:
[tex]m\angle DCB = m\angle HCB + m\angle DCH[/tex]
Substitute in the appropriate values/expressions:
[tex](9x-1) = (60) + (2x+16)[/tex]
Solve for x. Combine like terms:
[tex]9x - 1 = 2x + 76[/tex]
Subtract 2x from both sides:
[tex]7x - 1 = 76[/tex]
Add one to both sides:
[tex]7x = 77[/tex]
And divide. Hence:
[tex]x=11[/tex]
Answer:
x=11
Step-by-step explanation:
<DCB = <DCH + < HCB
9x-1 = 2x+16 + 60
Combine like terms
9x-1 = 2x+76
Subtract 2x from each side
9x-1-2x= 2x+76-2x
7x-1 = 76
Add 1 to each side
7x-1 +1 = 76+1
7x = 77
Divide by 7
7x/7 = 77/7
x=11
NEED HELP IN FIVE MINUTE PLZ HURRY
Answer:
R=.2,P=.25, G=.55
Step-by-step explanation:
Simplify 4x (2x−y) − 3x (x-2y) −2x + 1 and find its value for = -1 and y = 2.
Answer:
Step-by-step explanation:
4x*(2x - y) - 3x(x - 2y) - 2x + 1
Use distributive property
= 4x*2x - 4x*y -3x *x - (-3x) * 2y - 2x +1
= 8x² - 4xy - 3x² + 6xy - 2x + 1
= 8x² - 3x² - 4xy + 6xy - 2x + 1
Combine like terms
= 5x² + 2xy - 2x + 1
Substitute x = -1 & y = 2
= 5(-1)² + 2*(-1)*2 - 2(-1) + 1
= 5*1 - 4 + 2 + 1
= 5 - 4 + 2 + 1
= 4
2, Nine people fit comfortably in a 3 ft. by 3 ft. area. Use this value to
estimate the size of a crowd that is 8 yards deep and 1 mile long.
Determine the Ratio? A
Ratio = 9 x (3x3). B
O Ratio = 9/3
C
Ratio = 9/(3x3)
D Ratio = 8/5280
The ratio for Nine people fit comfortably in a 3ft by 3ft area is [tex]\frac{9}{3X3}[/tex]
Option C [tex]Ratio =\frac{9}{3X3}[/tex]
Size of crowd: [tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]
Given :
Nine people fit comfortably in a 3 ft. by 3 ft. area
To find : we need to estimate the size of a crowd that is 8 feet deep and 1 mile long. we need to determine the ratio as well
Ratio = number of people / total area
[tex]Raio=\frac{9}{3X3}[/tex]
To find the size of the crowd , convert yards into feet and mile into feet
1 yard = 3 miles
8 yards= 3 times 8 = 24 feet
1 mile = 5280 feet
Now we find the area in feet
[tex]24 \cdot 5280[/tex]
size of the crowd=ratio times the area in feet
[tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]
Learn more : brainly.com/question/24367786
please help with question 6.
A,b,c and d
9514 1404 393
Answer:
a) 6.4 m
b) 5.7 m
c) 6.3 m
d) 6.0 m
Step-by-step explanation:
The benefit of using a spreadsheet for repetitive calculations such as these is that it can also help with the addition/subtraction necessary to find the length not given directly.
In the attached, the "a" length is the one requiring arithmetic; the "b" length is given directly on the diagram, and the "c" length is the hypotenuse of the right triangle with legs "a" and "b". "c" is the direct distance from A to B.
For example, consider figure (a). The horizontal distance from A to B is 10 m-6 m = 4 m. In the attached spreadsheet that difference is entered in row 'a', column 'a' as "=10-6". The length "c" is computed using the Pythagorean theorem:
c² = a² +b²
c = √(a² +b²)
For figure (a), this is ...
c = √(4² +5²) = √41 ≈ 6.4 . . . meters
What is the distance from the plane
Answer:
here's the answer to your question about
please help! need the answers in order to move on:) will give brainliest to correct answer!
Match the word to know with its definition
Expanded form
Product
Place value
Digit
A number that is written as a sum of single digit multiples of powers of 10
Any of the symbols ( 0 to 9 ) that are used to write a number
The result of multiplying two or more numbers together
The value of where a digit is located in a number
Journal Write a subtraction problem involving
numbers. At least one decimal must include hundredths. Explain how to solve
your problem.
Please help I will give you Brainlyest
Answer:
Problem: 5.24 - 4.93
Step-by-step explanation:
You subtract just like a normal Addition problem however you MUST make sure the decimal point line up,...
[tex]5.24\\4.93\\[/tex]
1st: subtract the 3 from the 4 [0.01]
2nd: subtract the 9 from the 2 (make the 2 a 12 (by carrying a one from the 5 (which then becomes a 4))) [0.30]
3rd: Finally subtract the 4 from the 4,... 0
Answer = 0.31,...
A more summed up answer: Subtracting (and adding for that matter) decimals happens exactly like normal. However you MUST MAKE SURE that your decimal points are lined up,... if you are subtracting a 0.09 from a 4.5 and the 4.5 doesn't have a hundredths place just remember that you can add a 0 on the end (4.50) without chancing it's value. (and then just subtract like normal)
Angela has a rectangular piece of paper and cuts a rectangle out of a corner what are the area and perimeter of the resulting shape help me find the perimeter only
The perimeter of a shape is the summation of the visible lengths of the shape. The area; however, is the product of the length and the width of the shape
The perimeter of the figure is 74cm and the area of the figure is 231 square cm
I've added shape as an attachment.
The perimeter is the sum of all side lengths. So, we have:
[tex]Perimeter = 6cm + 7cm + 15cm + 9cm + 21cm + 16cm[/tex]
[tex]Perimeter = 74cm[/tex]
To calculate the area, we split the shape into 2.
The first has the following dimension:
[tex]Length = 6cm[/tex]
[tex]Width = 7cm[/tex]
While the second has the following dimension
[tex]Length = 21cm[/tex]
[tex]Width = 9cm[/tex]
The area of the shape is:
[tex]Area = 6cm \times 7cm + 21cm\times 9cm[/tex]
[tex]Area = 231cm^2[/tex]
Hence, the shape has a perimeter of 74cm and an area of 231 square cm
Read more about area and perimeters at:
https://brainly.com/question/11957651
A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.
Answer:
A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.
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Letsanswers
by which smallest number should the following number be multiplied to make the perfect square of 384
The prime factorization of 384 = 2^7 * 3.
So in order to make it a perfect square, you must multiply it by 2*3 = 6 to make is 2^8 * 3^2.
If p+1/p - 7 then find the value of p³+1/p³
Answer:
322
Step-by-step explanation:
We have,
a^3+b^3=(a+b)^3-3ab(a+b)
p+1/p=7
Now,
p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)
=7^3-3(7)=343-21=322
PLEASE HELP IT IS DUE IN TWO HOURS AND I CANT UNDERSTAND IT PLSSSSSS
If 7 beans were on your plate, and you took away 2 bananas, how many apples are left?
Answer:
4 tacos
Step-by-step explanation:
according to the converse of triangle proportionality theorem, 7 beans is equivalent to 5 bananas, so if we took 2 away we would be left with 4 tacos, not apples because an apple a day keeps the doctor away and we are in a pandemic right now
Beatrice graphed the relationship between the time (in seconds) since she sent a print job to the printer and the number of pages printed.
10
10
20
20
30
30
40
40
5
5
10
10
15
15Seconds since sending print jobPages printed
What does the
x
xx-intercept represent in this context?
Choose 1 answer:
Given:
Consider the below figure attached with this question.
To find:
The interpretation for x-intercept in this context.
Solution:
In the given graph x-axis represents the second since sending print job and y-axis represents the Pages printed.
At x-axis the y-coordinate is 0. It means the x-axis represents the number of seconds that passed before the printer started printing pages.
Therefore, the correct option is C.
Answer:
B. The number of seconds that passed before the printer started printing pages
Step-by-step explanation:
85°
4x + 21°
what do I am suppose
Answer:
x= 16
4x+21 = 85 degrees
Step-by-step explanation:
The angles shown are vertical angles and vertical angles are equal
85 = 4x+21
Subtract 21 from each side
85 -21 = 4x+21-21
64 = 4x
Divide by 4
64/4 = 4x/4
16 = x
Answer:
16degrees
Step-by-step explanation:
As these angle are (vertically opposite angles)
So,85=4x+21,
85-21=4x
x=64/4
x=16degrees
Which pieces of information can be gathered from these box plots?
Answer:
A & C
Step-by-step explanation:
What is the sum of the greatest number and least number formed by the digits 4,7,0and 9
Answer:
13819
Step-by-step explanation:
The biggest number is :9740
The smallest number is :4079
Sum means addition so...
9470 + 4079 = 13819
A class of 245 students went on a field trip. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
Answer:
4 cars and 5 buses
Step-by-step explanation:
245÷ 45=5.4
45×5=225
245-225=20
20÷5=4
