Answer: 11136 grams
≈ 11.14 kilograms
Step-by-step explanation:
Given, Each package has 126 grams of granola, 245 grams of chocolate chip cookies , and 325 grams of nuts in it.
Total weight of each package = 126 grams + 245 grams + 325 grams
= 696 grams
If they have 16 care packages, then total weight of packages = 16 x (Total weight of each package)
= 16 x 696 grams
= 11136 grams
≈ 11.14 kilograms [ 1 kilogram = 1000 grams]
A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the tent pole is 44 feet, how far is it from the bottom of the tent pole to the point where the wire is fastened to the ground? (The tent pole is not necessarily perpendicular to the ground.)
Answer:
35.11 ft
Step-by-step explanation:
This given situation can be thought of as triangle [tex]\triangle PQR[/tex] where PQ is the length of pole.
PR is the length of rope.
and QR is the distance of bottom of pole to the point of fastening of rope to the ground.
And [tex]\angle Q \neq 90^\circ[/tex]
Given that:
PQ = 44 ft
PR = 51 ft
[tex]\angle R = 58^\circ[/tex]
To find:
Side QR = ?
Solution:
We can apply Sine Rule here to find the unknown side.
Sine Rule:
[tex]\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]
Where
a is the side opposite to [tex]\angle A[/tex]
b is the side opposite to [tex]\angle B[/tex]
c is the side opposite to [tex]\angle C[/tex]
[tex]\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ[/tex]
Now,
[tex]\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ[/tex]
Let us use the Sine rule again:
[tex]\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft[/tex]
So, the answer is 35.11 ft.
3
4
x
+
6
=
1
+
1
3
x
Answer:
[tex]\boxed{x = -5/21}[/tex]
Step-by-step explanation:
Hey there!
To simplify we need to combine like terms and use the communicative property,
34x + 6 = 1 + 13x
-13x to both sides
21x + 6 = 1
-6 to both sides
21x = -5
Divide both sides by 21
x = -5/21
Hope this helps :)
Answer: I'm guessing you need me to solve this for you.
I interpreted the equation this way: 34x + 6 = 1 + 13x
The solution is -5/21.
Step-by-step explanation:
34x + 6 = 1 + 13x
Step 1: Simplify both sides of the equation.
34x + 6 = 13x + 1
Step 2: Subtract 13x from both sides.
34x + 6 − 13x = 13x + 1 − 13x
21x + 6 = 1
Step 3: Subtract 6 from both sides.
21x + 6 − 6 = 1 − 6
21x = − 5
Step 4: Divide both sides by 21.
21x/21 = -5/21
x = -5/21
Hope this helped you!
Help, Answer ASAP; will give brainliest
Answer:
PY = 14.5
Step-by-step explanation:
The diagonals of a rectangle are congruent and bisect each other, thus
XZ = WY , that is
4x - 1 = x + 7 + x + 7
4x - 1 = 2x + 14 ( subtract 2x from both sides )
2x - 1 = 14 ( add 1 to both sides )
2x = 15 ( divide both sides by 2 )
x = 7.5
Thus
PY = x + t = 7.5 + 7 = 14.5
Step-by-step explanation:
py is equal to wp because the figure is a rectangle.x+7+x+7= 4x-1
2x+14=4x-1
14= 2x-1
15= 2x (divide)
x = 7.5
wp= 7.5cm
not really sure
Part
This table shows the prices of the three TVs in addition to their length and width. Is the price of a TV proportional to the length of its screen? How
do you know
Answer:
No! They are not proportional!
Step-by-step explanation:
Proportional prices to the length means that
(price 1/length 1)=(price 2/length 2)=(price 3/length 3)
Even by plugging in the numbers yourself to double check my numbers, and getting and answer for each ratio, it is clear that they are not proportional.
Answer:
The ratio of screen length to price in the first row is 16/160, which simplifies to 1/10.
The ratio of screen length to price in the second row is 20/180, which simplifies to 1/9.
The ratio of screen length to price in the third row is 24/200, which simplifies to 3/25.
Because 16/160 doesn't = 20/180 doesn't = 24/200, the ratios are not equivalent. This is not a proportional relationship.
The city plans a roadway to have trees every mile. If the path is miles long, how many trees will the city need?
30 trees
31 trees
32 trees
33 trees
Answer:
32
Step-by-step explanation:
the country would need 30 to 33 trees
PLEASE HELP ME I WILL GIVE 5 STARS TO THE FIRST ONE WHO GETS THIS RIGHT !
Answer:
Option 1 and option 4
Step-by-step explanation:
The inverse of 12^2 is the √12 so option 4 is correct. 12^1/2 also equals √12 so option 1 is also correct.
Answer:
12 [tex]\frac{2}{1}[/tex]
Step-by-step explanation:
PLEASE HELP I HAVE LIKE 10 MINUTES A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds in favor of the Cougars winning the toss in exactly two of three games? A. 3:5 B. 3:8 C. 5:3 D. 8:3 A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds against the Cougars winning the toss in exactly one of three games? A. 3:5 B. 5:3 C. 3:8 D. 8:3 A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights? A. 1:1 B. 1:7 C. 1:8 D. 7:1
Answer:
a
Step-by-step explanation:
An isosceles triangle has a side that measures 12 inches. What is the length of the hypotenuse
Answer:
[tex] \boxed{12 \sqrt{2} }[/tex]
Step-by-step explanation:
Isosceles triangle are those triangle which have two equal sides.
Perpendicular ( p ) = 12 inches
Base ( b ) = 12 inches
Hypotenuse ( h ) = ?
Now,Using Pythagoras theorem,
[tex] \mathsf{ {h}^{2} = {p}^{2} + {b}^{2} }[/tex]
Plug the values
[tex] \mathsf{ {h}^{2} = {12}^{2} + {12}^{2} }[/tex]
Evaluate the power
[tex] \mathsf{ {h}^{2} = 144 + 144}[/tex]
Calculate the sum
[tex] \mathsf{ {h}^{2} = 288}[/tex]
Squaring on both sides
[tex] \mathsf{h = 12 \sqrt{2} }[/tex]
Hope I helped!
Best regards!
12 – 2x= -2(y – x)
-2x = -2(y – x) – 12
x= (y - x) + 6
Answer:
x=o and y= -6
Step-by-step explanation:
12-2x = - 2(y-x)
or,12-2x = -2y + 2x
or, 12 = - 2y + 4x
or, 12/2= 2x - y
or, 2x - y = 6
• 2x -6= y.....eqn_1
-2x=-2y+2x -12
or,4x +2y= -12
or,4x + 2(2x-6)= -12
or, 4x+4x-12=-12
or, 8x= 0
• x= o
putting the value of x in eqn...3
o=(y-0)+6
or, o= y + 6
•y = -6
Determine if the event described is independent or dependent. You pick a marble at random from a group of marbles, don't replace the marble, and pick a second marble.
Answer:
dependent
Step-by-step explanation:
This is a dependent event. There is one less marble in the bag to choose from
Say there was 1 red marble and 4 blue marble. You drew the red marble on the first pick, now you cannot get a red marble on your second pick.
If you drew a blue marble on the first pick you could get a red marble on the second pick.
So what happens on the first pick affects the second pick
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
When and , the value of the expression is
Answer:
-2, 6
Step-by-step explanation:
(x - 6)(x + 2) = 0
x - 6 = 0 x+ 2 = 0
x = 6 x = -2
The values of x that would result in the given expression being equal to 0, in order from least to greatest, are -2 and 6.
Which of the variable expressions below is a trinomial with a constant term? A. 3x5 – 2x3 B. x5 – 3x2 + 5x C. 7x6 + 2x4 – x3 + 7 D. 4x2 – 3 + x3
Answer:
Option (D)
Step-by-step explanation:
Option (A).
3x⁵ - 2x³
There are two terms with the variable 'x' in the given expression. therefore, it's a binomial with no constant term.
Option (B).
x⁵ - 3x² + 5x
This expression has three terms with variable 'x'.
Therefore, it's a trinomial without no constant term.
Option (C).
7x⁶ + 2x⁴ - x³ + 7
It's a quadrinomial having 4 terms. '7' is the constant term in the given expression.
Option (D).
4x² + x³ - 3 ≈ x³ + 4x² - 3
It's a trinomial with a constant term 3.
Therefore, Option (D) is the answer.
The figure below shows dimensions of a block of foam used to package a triangular shaped product. The foam is in the shape of a rectangular prism with a small triangular prism removed from the center. How many cubic centimeters of foam are used to package this product?
Answer:
5,580
Step-by-step explanation:
Rectangle: 36x30x60=6480
Triangle: 1/2x15x20x6=900
6480-900=5,580
The foam are used to package this product is cubic centimeters.
What is the volume of the rectangular prism?The Area of the rectangular prism is the product of the length, breadth, and height of the given prism.
Area of rectangular prism = 2(length x width + length x height + width x length)
Area of rectangular prism = 2( 36 x 30 + 30 x60 + 60 x 36)
= 10080 cubic centimeters
Let's find the base area:
The formula to find the base area is,
B = ½bh
Triangle area = 1/2 x 15 x 20 x 6
Triangle area = 900
10080 - 900 = 9180
Hence, the foam are used to package this product is cubic centimeters.
Learn more about rectangular prism;
https://brainly.com/question/15843335
#SPJ2
What is the ratio of the length of to the length of?
Answer:
1/4
Step-by-step explanation:
What is the ratio of the length of to DE the length of BC
The perimeter of a sector is given by:
P = [tex]\frac{\theta}{360}**2\pi r[/tex]
Where [tex]\theta[/tex] is the angle it subtends from the center and r is the radius of the circle.
For Sector ADE, the radius (r) = r/2 and the angle [tex]\theta[/tex] = β. Therefore:
Perimeter of DE = [tex]\frac{\beta}{360}**2\pi (\frac{r}{2} )=\frac{\beta}{360}(\pi r)[/tex]
For Sector ABC, the radius (r) = r and the angle [tex]\theta[/tex] = 2β. Therefore:
Perimeter of BC = [tex]\frac{2\beta}{360}**2\pi r=\frac{2\beta}{360}(2\pi r)=\frac{\beta}{360}*(4\pi r)[/tex]
The ratio of the length of to DE the length of BC =
Answer:
1/4
Step-by-step explanation:
The length of a rectangle is 5/6 feet. The width is 3/8 feet. How much greater is the length of the rectangle than the width?
Answer:
0.46 feet
Step-by-step explanation:
Length = 5/6 feet (or 0.254 m)
Width = 3/8 feet (or 0.114 m)
(5/6 - 3/8) feet = 11/24 feet or 0.46 feet (0.140 m)
please help me for the homework
Answer:
refer to the pic attached
Which Property of real numbers does this equation show? 4 x 1 = 4
Answer:
This is multiplicative identity in which 4✖️1=4
Step-by-step explanation:
Hope it will help you:)
The cost of a cycle is $ 950 and that of a scooter is $ 23,500. He sold them together for $ 25,000. Find his profit.
actual cost is 950+23,500=24450
he sold them for 25000 so his profit is 25000-950-23500=550
Answer:
A cycle + A scooter
= 950 + 23,500
= 24,450
Profit = Sold - cost
= 25,000 - 24,450
= 550
So the profit is $550
The circumference of a circle is 6 inches. What is the area of the circle?
A. 3π in. squared
B.9π in squared
C.12π in. squared
D.36π in squared
Answer:
(B) 9π in²
Step-by-step explanation:
I’m going to assume that by 6 inches you meant 6π inches.
If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is [tex]2\pi r[/tex]).
[tex]6\div2=3[/tex]
So the radius is 3.
Now that we know the radius, we can find the area by using the equation [tex]\pi r^2[/tex].
[tex]\pi 3^2\\\pi9\\9\pi[/tex]
Hope this helped!
Answer:
Step-by-step explanation:
2πr = 6, r = 3/π
πr² = π(3/π)² = 9/π in.²
the angles of traingle are in the ratio 3:7:8 find them in degrees as well as in radians
The shape on the left is translated to the shape on the right.
Which statement about the transformation is true?
A.The name of the shape on the right is MNOPQRS' because it is the image of the shape on the left.
B.The name of the shape on the right is MNOPORS' because it is the pre-image of the shape on the left.
C.The name of the shape on the right is M’N’O’P’Q’R’S because it is the pre-image of the shape on the left.
D. The name of the shape on the right M’N’O’P’Q’R’S
Because it is the pre-image if the shape in the left.
Answer:
sorry i am late but the answer is The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the image of the shape on the left. and if you dont want to read that its D
hope it helped anyone :)
The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, left or right.
The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left
find out more on Transformation at: https://brainly.com/question/1462871
Which equation represents the
value of 0 in a triangle when all
oth er angle information is
known?
Answer:
theta = 180 -(A +B)
Step-by-step explanation:
The sum of the angles of a triangle is 180
theta + A + B = 180
solve for theta
Subtract ( A + B) from each side
theta +A+B -(A +B) = 180 -(A +B)
theta = 180 -(A +B)
Find the x-intercept(s) of the equation: y =3x^2-3x-6
a. x-intercepts: (-1,0) and (2,0)
b. x-intercepts:(0,-3) and (0,2)
c. x-intercept: (-6,0)
d. x-intercept: (0,-6)
Answer:
(2,0) ( -1,0)
Step-by-step explanation:
y =3x^2-3x-6
Let y = 0 and solve for x to find the x intercepts
0 =3x^2-3x-6
Factor out a 3
0 =3(x^2-x-2)
Factor inside the parentheses
0 = 3( x-2) (x+1)
Using the zero product property
x-2 =0 x+1 = 0
x=2 x = -1
(2,0) ( -1,0)
Answer:
[tex]\large \boxed{\mathrm{a. \ x-intercepts: (-1,0) \ and \ (2,0)}}[/tex]
Step-by-step explanation:
The x-intercept(s) is when y = 0.
3x² - 3x - 6 = 0
Factor left side of the equation.
3(x + 1)(x - 2) = 0
Set factors equal to 0.
x + 1 = 0
x = -1
x - 2 = 0
x = 2
The x-intercepts are (-1, 0) and (2, 0).
Determine what type of model best fits the given stituation. Water leaking from a local reservoir at the rate of 500 gallons per hour.
Answer:
Well, in the local reservoir we have an initial amount of water A.
And per hour, the amount of water in the reservoir decreases by 500 gals.
So after t hours, the amount of water in the reservoir is:
W = A - 500gal*t
This is a linear equation, so the model that fits best in the given situation is a linear model.
Where the only thing that you need to take in mind, is that the domain of this model is restricted:
This is because we can not have a negative amount of water in the reservoir, so the maximum value of t accepted is:
W = 0 = A - 500gal*t
t = A/500 hours
So the domain of this linear relation is:
t ∈ {0h, A/500 }
Answer: lin
Step-by-step explanation:
Describe the transformation. A. (x,y)→(x+5,y−3) B. (x,y)→(x−3,y+5) C. (x,y)→(x+3,y−5) D. (x,y)→(x−5,y+3)
Answer:
Option(A)
Step-by-step explanation:
From the graph attached,
Quadrilateral USTR has been transformed to get the image quadrilateral U'S'T'R'.
Coordinates of point U → (-2, 6)
Coordinates of point U' → (3, 3)
Coordinates of U and U' show that quadrilateral USTR has been shifted by 5 units to the right and 3 units down.
Rule to be followed for the translation,
U(-2, 6) → U'[(-2 + 5), (6 - 3)]
U(x, y) → U'[(x + 5), (y - 3)]
Therefore, Option (A) describes the correct rule of transformation.
What is the volume of the following rectangular prism?
Answer:
1/10 units ^3
Step-by-step explanation:
The formula for the volume is given by
V = Bh where B is the area of the base and h is the height
V = 3/20 units ^2 * 2/3 units
= 3/20 * 2/3
= 1/10 units ^3
if "f" varies directly with "m," and f = -19 when m = 14, what is "f" when m = 2
Answer:
f = - [tex]\frac{19}{7}[/tex]
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition f = - 19 when m = 14, thus
- 19 = 14k ( divide both sides by 14 )
- [tex]\frac{19}{14}[/tex] = k
f = - [tex]\frac{19}{14}[/tex] m ← equation of variation
When m = 2, then
f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]
Find the measure of f.
Answer:
44 degrees.
Step-by-step explanation:
The 3 small triangles are isosceles so m < a = m < b , therefore
m < a = (180 - 92) / 2 = 44 degrees.
m < f = m < a ( they are both subtended on the circle by the same chord (cd)),
So m < f = 44.
A researcher wants to use a confidence interval to estimate the proportion of college students in his state who plan to vote in the 2020 presidential election. He plans to randomly sample 120 college students, and plans to construct a 95% or 99% confidence interval. Which of these confidence intervals will be wider, and why
Answer:
99% confidence interval will be wider because as the level of confidence increase the width increases as well and the standard error decreases
Step-by-step explanation:
The confidence interval is directly proportional to the sample size hence the 99% confidence interval will be wider than the 95% confidence interval of the sample of 120 college students
using a 99% confidence interval gives a more accurate result than a 95% confidence because the standard error decreases with increase in confidence interval
I need help please so if you could help that would be nice. Also i will make brainliest
