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FINAL LT 4 Assessment
9 of 10
POSSIBLE POINTS: 0.5
Draw a picture that represents the word problem. If it is not clear from your drawing, label the airplane, island and boat. Don't forget to include x in your
picture!
You are flying an airplane directly over a boat and spots an island in the distance. If the plane is flying at a height of 5,500m and you look down at the
island at an angle of 72 degrees, how far is the boat from the island?
x Clear
Undd
Redo
(720
Answer:
Step-by-step explanation:
You probably need to make your own version cause mine is super messy but here
Keelie has a triangular-shaped card. The lengths of its sides are 3 cm, 4 cm, and 5 cm. Is the card a right triangle?
Answer:
Yes, the card is a right triangle.
Step-by-step explanation:
The card is a right triangle, specifically a 3-4-5 right triangle.
A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.
The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.
So, the card is a right triangle.
Which expression is equivalent to
Answer:
5^15
Step-by-step explanation:
5^10 * 5^5
We know that a^b * a^c = a^(b+c)
5^(10+5)
5^15
Answer:
5¹⁵
Step-by-step explanation:
5 ¹⁰ . 5⁵
multiply the term with the same base by adding their exponent.5¹⁰+⁵
5 ¹⁵
Anyone help me please. A circle has a circumference
of 36. What is the radius of
the circle? Take pi to be 3.142. State the answer to one decimal
place.
The circumference of a circle is pi x 2 x radius.
To find the radius, divide the circumference by pi, then divide that by 2:
36/3.142 = 11.4576703
Radius = 11.4576703/2 = 5.7288
Rounded to one decimal place the radius is 5.7 units.
Answer:
[tex]R=5.7[/tex]
Step-by-step explanation:
[tex]Radius=\frac{Circumference}{2\pi }[/tex]
[tex]R=\frac{36}{2(3.142)}[/tex]
[tex]R=\frac{36}{6.284}[/tex]
[tex]R=5.728835137[/tex]
[tex]R=5.7[/tex]
Hope this helped :)
What is the likely means of measurement for the data in the chart below?
a. 100-meter run data
b. seconds
c. stop watch
d. 7 observations
Answer:
C
Step-by-step explanation:
I might be wrong. I hope it helps:)
What is the theoretical probability for a family with three children for two girls and a boy
Answer:
1 time 2 ratio per boy, and 3 to 2 ratio per girl
Step-by-step explanation:
What is the inequality for this verbal description?
The value of y is greater than or equal to the sum of five times the value of x
and negative three.
Answer:
y >= 5x - 3
Step-by-step explanation:
since the verbal description mentions "sum", we need to have at least two things to add together.
for this reason we cannot misinterpret the -3 as an element to be included in the "5 times" term, because otherwise we would not have a second thing to build a sum.
Circle P below, PC = 4 feet and m CD = 80°. Determine, to the nearest tenth, the area of the blue sector enclosed by
Answer:
11.2square feet
Step-by-step explanation:
Area of a sector = theta/360 * πr²
theta is the central angle = 80degrees
radius r = PC = 4ft
Substitute
Area of the sector = 80/360 * 3.14 * 4²
Area of the sector = 80/360 * 3.14 * 16
Area of the sector = 4,019.2/360
Area of the sector = 11.2ft²
Hence tthe area of the blue sector is 11.2square feet
. Steven and Gina each wrote an expression, but only Steven's expression is equivalent
to 4x – 9. What could be Gina's expression?
Answer:
x - 5(x - 2) - 1
Step-by-step explanation:
Answer:
x - 5(x - 2) - 1Step-by-step explanation:
Solve the system of equations.
Step-by-step explanation:
[tex] - 6y + 11x = - 36 \\ - 4y + 7x = - 24 \\ 11x = 6y - 36 \\ x = \frac{6y - 36}{11} \\ - 4y + 7( \frac{6y - 36}{11} ) = - 24 \\ - 4y + \frac{42y}{11} - 22.91 = - 24 \\ - 4y + \frac{42y}{11} = - 1.09 \\ - 0.18182y = - 1.09 \\[/tex]
[tex] y = 5.99 = 6 \\ y = 6 \\ x = \frac{6(6) - 36}{11} \\ x = \frac{36- 36}{11} = 0[/tex]
Pls help
Am not very good at this
Answer:
Step-by-step explanation:
Given angles are central angles and the measure of central angles are equal to the measure of the ark they see so the measure of arc BD is equal to angle <A and A is equal to 360 - 150 - 97 (since the sum of these angles equal to 360)
ark BD = 113 and the measure of arc DCB
150 + 97 = 113
A person weighing 206 lb volunteers for a clinical trial of a new diet pill. If he loses 2.0 lb per month using the diet pill combined with regular exercise, when will he weigh less than 188 lb?
Answer: 9 months
Step-by-step explanation:
Given
Weight of the person is 206 lb
If he looses 2 lb per month, his weight after x months becomes 188 lb
Net Reduction in weight is [tex]206-188=18\ lb[/tex]
for 18 lb , time period is
[tex]\Rightarrow x=\dfrac{18}{2}\\\\\Rightarrow x=9\ \text{months}[/tex]
50 POINTS. help I'm not rushing so late answers are appreciated!
Books at a library sale are sold for $3.50 each. A function, y = 3.50x can be used to generate an input/output table for this scenario. Which statement is true about an accurate graph of this data?
The data is continuous, so it does not matter whether or not the points are in a line.
The data is discrete, so the graph is a series of unconnected points.
The data is continuous, so the graph is a series of unconnected points.
The data is discrete, so the points are connected with a line.
Answer:
"The data is discrete, so the graph is a series of unconnected points."
A trader bought 5 bags of rice at GHC 210 each. If he sold them at a profit of 20%, what was the selling price per bag?
Answer:
$252
Step-by-step explanation:
First you need to find how much is 20% is of 210
210*0.20=$42
Add 42 dollars to 210
210+42=$252
So the starting price per bag that he was selling was $252
solve it : -
[tex] \dfrac{44}{4} [/tex]
_______
Answer:
11Step-by-step explanation:
[tex] \frac{44}{4} [/tex]
= 44 ÷ 4
= 11 (Ans)
Answer:
solution
44÷4=11 ^_^
Thanks for points
Apply the distributive property to factor out the greatest common factor.
56 + 32 =
2
+
Х
999f=4,131
Solve for f.
Answer:
4.135
Step-by-step explanation:
f = 4131/999
f = 4131 ÷ 999
4131 ÷ 999 = 4.1351351351
Answer:
4.135
Step-by-step explanation:
f = 4131 / 999 = 4.135
What must be added to f(x) = 4x4 + 2x3 -2x2 +x - 1, so that the resulting polynomial is divisible by g(x) = x2 +2x -3?
Answer:
p(x) = -4*x^4 - 2*x^3 + 3*x^2 + 1*x - 2
Step-by-step explanation:
We want to find a polynomial p(x), such that if we add that polynomial to:
f(x) = 4*x^4 + 2*x^3 - 2*x^2 + x - 1
we get:
g(x) = x^2 + 2*x - 3
This is:
f(x) + p(x) = g(x)
Notice that f(x) is a polynomial of degree 4 and g(x) is a polinomial of degree 2, so p(x) must be also a polynomial of degree 4.
p(x) = a*x^4 + b*x^3 + c*x^2 + d*x + e
Then we get:
(4*x^4 + 2*x^3 - 2*x^2 + x - 1) + (a*x^4 + b*x^3 + c*x^2 + d*x + e) = x^2 + 2*x - 3
We can simplify the left side to:
(4 + a)*x^4 + (2 + b)*x^3 + (-2 + c)*x^2 + (1 + d)*x + (-1 + e) = x^2 + 2*x - 3
Because in the right side we do not have terms with exponent 4 and 3, we must have that:
4 + a = 0
2 + b = 0
and for the other exponents of x we just match the exponent in the left side with the correspondent one in the right side:
(-2 + c) = 1
(1 + d) = 2
(-1 + e) = -3
Solving the 5 equations we get:
a = -4
b = -2
c = 1 + 2 = 3
d = 2 - 1 = 1
e = -3 + 1 = -2
Then the equation for p(x) is:
p(x) = -4*x^4 - 2*x^3 + 3*x^2 + 1*x - 2
Please help me answer my question
Answer:
SA= 882cm^2
Step-by-step explanation:
SA=2( width*length + hight*length + hight*width )
SA=2( 9*20+ 9*20+ 9*9)
SA= 2*441
SA=882cm^2
Convert. Round to 3 decimal places.
7 quarts ≈ ____ liters
1 quart = 0.9463 liters
8 quarts x 0.9463 = 7.5704 liters
Rounded to 3 places 7.540
Also depending on the exact conversion used it could would to 7.541 liters
Answer:
7 quarts = 7.5704
Step-by-step explanation:
We know that
1 quarts = 0.9463 litres
7 quarts = 8 × 0.9463 = 7.5704 litres
Please help!!!! Will give brainliest to the correct answer!! I really need help and I am confused!!
Answer:
Step-by-step explanation:
yes
Ive friends each knit one part of a scarf that is 1 5 12 yards long. Which shows the fractions of the scarf each friend could have knit? A. 1 12 + 2 12 + 3 12 + 8 12 + 4 12 B. 1 12 + 6 12 + 3 12 + 2 12 + 4 12 C. 2 12 + 3 12 + 3 12 + 2 12 + 5 12 D. 5 12 + 1 12 + 4 12 + 2 12 + 5 12
Answer:
D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12
Step-by-step explanation:
Ive friends each knit one part of a scarf that is 1 5/ 12 yards long.
Hencfy, the fractions of the scarf each friend could have knit is calculated by comparing the options
A. 1 /12 + 2 /12 + 3 /12 + 8 /12 + 4 /12
Lowest Common Denominator = 12
Hence = 18/12 = 1 6/12 = 1 1/2
Option A is wrong
B. 1 /12 + 6/ 12 + 3 /12 + 2 /12 + 4 /12
Lowest Common Denominator = 12
Hence = 16/12 = 1 4/12 = 1 1/3
Option B is wrong
C. 2/12 + 3/ 12 + 3/ 12 + 2/ 12 + 5/ 12
Lowest Common Denominator = 12
Hence = 15/12 = 1 3/12 = 1 1/4
Option C is wrong
D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12
Lowest Common Denominator = 12
Hence = 17/12 = 1 5/12
Option D is correct
Therefore, the fractions of the scarf each friend could have knit is Option D
Solve the system using elimination. Show your work! (6 pts)
(7x + 10y = 11
(4x + 3y = -10
Answer:
x=-7
y=6
Step-by-step explanation:
7x+10y=11
4x+3y=-10
-3(7x+10y=11
10(4x+3y=-10
-21x-30y=-33
40x+30y=-100
19x = -133 (divide 19 on both sides)
x= -7
Now put the x in one of the original questions.
7(-7)+10y=11
-49+10y=11 (Add 49 to both sides)
10y=60 (Divide 10 on both sides)
y=6
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height
Answer:
I'm probably just really bad at math and got this wrong, but I think the answer is 40 cm. Sorry if this doesn't help, like I said I think I'm just bad at math, which it doesn't really make sense as to why I'm answering a math problem, but anyways there's the (probably wrong) answer.
I really hope that helped :P
What percent of the data is between 25 and 30 on the number line?
a 25%
b50%
c75%
d100%
'Option A' is the correct answer....
The solution is Option A.
The percentage of the data in the number line is 25 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Let the number line be represented as A
Now , the percentage of the data between 25 and 30 on the number line be P
And , the equation will be
The data on the number line stretches from 30 to 50 with 4 equal parts
So , Since there are 4 equal parts , and each part equals 25 %
And , the percentage of data between 25 and 30 is a part
So ,
The percentage will be 25 %
Hence , the percentage of data is 25 %
To learn more about percentage click :
https://brainly.com/question/12861068
#SPJ2
Which one is it?
a) <
b) =
c) >
Answer:
B) =
Step-by-step explanation:
When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.
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Have a great summer :)
Write 0.1177 to 2 decimal places
Answer:
0.12 is the correct answer
Calculate the sizes of the unknown angles in each diagram.
Please, answer with explanation.
Step-by-step explanation:
a) 2z+3z+4z=180
9z=180
z=20
So,three angles are 40,60 and 80
b) (y+30)+(2y+80)+(y+10)=180
y+30+2y+80+y+10=180
4y+120=180
4y=60
y=15
Three angles are 45,110,25
WILL GIVE BRAINLIEST AND 20 POINTS!
Find the slope of the line in the following graph using the points on the graph. Write the exact answer. Do not round. If the slope does not exist, write DNE for your answer.
(-5,2)(6,7)
Answer:
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
y2 = 7
y1 = 2
x2 = 6
x1 = - 5
There is no particular reason for choosing which one is (x2,y2) and (x1,y1) The slope would turn out to be the same which ever way you tried it.
slope = (7 - 2)/(6 - - 5) Notice the double minus. One of the minus symbols belongs to the formula and the other belongs to the 5
slope = 5/(6 + 5)
slope = 5/11
Answer:
[tex]\frac{5}{11}[/tex]
Step-by-step explanation:
The slope of a line that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let:
[tex](x_1,y_1)=(-5,2),\\(x_2, y_2)=(6,7)[/tex]
The slope of the line, [tex]m[/tex], that passes through these points is equal to:
[tex]n=\frac{7-2}{6-(-5)}=\frac{5}{6+5}=\boxed{\frac{5}{11}}[/tex]
Solve This question fast please
Answer:
x = 3 + [tex]\sqrt{3}[/tex] , 3 - [tex]\sqrt{3}[/tex]
Step-by-step explanation:
(2x-3)(x-2) + (x9x-2) = (x)(2x-3)
(2x-3)(x-2)+x(x-2)=x(2x-3)
(2x-3)(x-2)=x(2x-3)-x(x-2)
2x^2 -4x = x(2x-3 - x -2)
2x^2 - 7x + 6 = x^2 - x
[tex]x^{2}[/tex] - 6x + 6 = 0
use quadratic equation to get to final answer
-b +- [tex]\frac{-b+\sqrt{b^{2} -4ac } }{2a} , \frac{-b-\sqrt{b^{2} -4ac } }{2a} where a = 1 b = -6 and c= 6[/tex]