Which algebraic expression represents this phrase? the product of 86 and the depth of the river
An algebraic expression is a mathematical phrase that contains numbers, variables (like x or y) and operators (like add,subtract,multiply, and divide).
We have to form the algebraic expression for the phrase
" The product of 86 and the depth of the river"
Let the depth of the river be 'd'
Therefore, the algebraic expression = Product of '86' and 'd'
= [tex] 86 \times d [/tex]
= 86d.
Therefore, the algebraic expression for the given phrase is "86d".
A rectangle has a length of 7.2 cm and a height of 5 cm. what is the area and perimeter of the rectangle
PLEASE HELP ASSAAAAPPPPP
How do I graph (x−4)(x+2)
You are shopping for T-shirts. Clothing Warehouse sells 3 T-shirts for $52. The Scene sells 2 T-shirts for $83. New Threads sells 4 T-shirts for $127. Which store has the best deal?
DE has endpoints D 0, 3 and E 0, 12 find the length of DE to the nearest tenth
Answer: The length of side DE is 9 units.
Step-by-step explanation: Given that the co-ordinates of the end-points of DE are D(0, 3) and E(0, 12).
We are to find the length RT of the polygon.
We know that
the length of a line segment with endpoints P(a, b) and Q(c, d) is equal to the distance between the points P and Q.
By distance formula, the distance between P(a, b) and Q(c, d) is
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
So, the distance between D(0, 3) and E(0, 12) is given by
[tex]DE=\sqrt{(0-0)^2+(12-3)^2}=\sqrt{9^2}=9.[/tex]
Thus, the required length of DE is 9 units.
Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of the room? Recall that the area of square is calculated by I square root 2, where I is the length of one side
Which statement is logically equivalent to the following conditional statement?
If it is a rectangle, then it does not have three sides.
Answers
If it is not a rectangle, then it has three sides.
If it has three sides, then it is not a rectangle.
If it does not have three sides, then it is a rectangle.
If it is not a rectangle, then it does not have three sides.,
The sec 205° is ____
●A negative value
●A positive value
●0
The value of sec 205° is a negative value.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The value of sec 205°.
In the coordinate system, ∠205° lies in the 3rd quadrant.
In third quadrant, only tanθ and cotθ are positive.
So, sec 205° is negative in third quadrant.
Hence we can conclude that the value of sec 205° is negative value.
Learn more about trigonometry here
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The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Answer:
oupuouououuou
Step-by-step explanation:
How many ways can u write 5 to the power of 8 as a quotient of two exponential terms?
A manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions of this part are shown below.
Which estimate is closest to the volume in cubic millimeters of the part?
(1 point)
• 306
• 768
• 1,008
• 2,016
Quadrilateral RSTU has vertices R (-3, 1) , S (-2, 3) , T (2, 3) , and U (3, 1). If you translate the quadrilateral four units down, what are the vertices of R'S'T'U'?
R' (-3, -3) , S' (-2, -1) , T '(2, -1) , and U' (3, -3)
R' (1, 1) , S' (2, 3) , T '(6, 3) , and U '(7, 1)
R' (-7, 1) , S' (-6, 3) , T '(-2, 3) , and U '(-1, 1)
R (-3, 3) , S (-2, 1) , T (2, 1) , and U (3, 3)
@Squirrels @tkhunny,
Answer:
The correct option is 1.
Step-by-step explanation:
The vertices of quadrilateral RSTU are R (-3, 1) , S (-2, 3) , T (2, 3) , and U (3, 1).
It is given that quadrilateral RSTU translate four units down to get R'S'T'U'.
The relation between the vertices of RSTU and R'S'T'U' is
[tex](x,y)\rightarrow (x,y-4)[/tex]
The vertices of R'S'T'U' are
[tex]R(-3,1)\rightarrow R'(-3,1-4)=R'(-3,-3)[/tex]
[tex]S(-2,3)\rightarrow S'(-2,3-4)=S'(-2,-1)[/tex]
[tex]T(2,3)\rightarrow T'(2,3-4)=T'(2,-1)[/tex]
[tex]U(3,1)\rightarrow U'(3,1-4)=R'(3,-3)[/tex]
The vertices of R'S'T'U' are R' (-3, -3) , S' (-2, -1) , T '(2, -1) , and U' (3, -3).
Therefore the correct option is 1.
Rudy collects baseball cards, and he currently has 300 cards. Starting tomorrow, he will purchase 1 pack of 15 baseball cards every day, and every pack he purchases will contain 1 card of a member of his brother???s favorite team. Every time Rudy purchases a pack of cards, he will immediately trade the card of the member of his brother???s favorite team to his brother for 3 cards of members of a different team. Which of these recursive formulas produces the sequence that represents the number of baseball cards that Rudy will have at the end of each day, starting today?
While standing on a roof, you drop a hamner. The function y=16-64t^2 represents the height y (in feet) of the hammer t seconds after it is dropped. After how many seconds does the hammer land on the ground?
The area of this circle is 42π m².
What is the area of a 60º sector of this circle?
6π m²
7π m²
14π m²
21π m²
Using proportions, it is found that the area of a 60º sector of this circle is of [tex]7\pi[/tex] m².
Proportions:This question is solved by proportions, using a rule of three.An entire circle is of 360º, which has an area of [tex]42 \pi[/tex] m²? Which is the area equivalent to a sector of 60º?The rule of three is:
360º - [tex]42 \pi[/tex] m²
60º - x m²
Applying cross multiplication:
[tex]360x = 60 \times 42\pi[/tex]
[tex]x = \frac{60 \times 42\pi}{360}[/tex]
[tex]x = 7\pi[/tex]
The area of a 60º sector of this circle is of [tex]7\pi[/tex] m².
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
I need to know how to do this, plz explain-Which function grows at the fastest rate for increasing values of x?
h(x)=2x
f(x)=4x2+9x
g(x)=18x
Answer: f(x)=4x2+9x
Step-by-step explanation:
Find the surface area of this square pyramid. The base has area 1764 cm^2 and perimeter 168 cm.
4116 cm^2
4704 cm^2
31,038 cm^2
2940 cm^2
The vertices of quadrilateral abcd are a(1, a - 3), b(10, a), c(9, a + 3) and d(0, a).prove that the quadrilateral is a rectangle.find the midpoints of the diagonals.the midpoint of ac is (5,1)the midpoint of bd is (5,1)find the lengths of the diagonals.
Answer with explanation:
The Vertices of quadrilateral A B CD, are A(1, a - 3), B(10, a), C(9, a + 3) and D(0, a).
Mid point of AC= (5,1)
Mid point of B D= (5,1)
Mid point formula of two points having coordinates , (a,b) and (c,d) is , if (x,y), then
[tex]x=\frac{a+b}{2},y=\frac{c+d}{2}[/tex]
[tex]So,\rightarrow \frac{a-3+a+3}{2}=1\\\\\rightarrow \frac{2a}{2}=1\\\\\rightarrow a=1[/tex]
So, the coordinates of vertices of quadrilateral A B CD, are A(1, -2), B(10, 1), C(9, 4) and D(0, 1).
Distance formula of two points having coordinates, (a,b) and (c,d) is,
[tex]=\sqrt{(a-c)^2+(b-d)^2}[/tex]
[tex]AB=\sqrt{(10-1)^2+(1+2)^2}=\sqrt{81+9}=\sqrt{90}=3\sqrt{10}\\\\BC=\sqrt{(10-9)^2+(1-4)^2}\\\\=\sqrt{1+9}\\\\=\sqrt{10}\\\\CD=\sqrt{(9-0)^2+(3-0)^2}=\sqrt{90}=3\sqrt{10}\\\\DA=\sqrt{(1-0)^2+(1+2)^2}=\sqrt{10}\\\\AC=\sqrt{(9-1)^2+(4+2)^2}=\sqrt{64+36}\\\\AC=\sqrt{100}\\\\AC=10\\\\BD=\sqrt{(10-0)^2+(1-1)^2}\\\\BD=10[/tex]
Opposite sides AB and CD are equal to 3√10 unit and , BC and AD are equal to √10 unit.
Also,length of Diagonals , AC=B D=10 unit.
∴ The Quadrilateral, AB CD is a Rectangle.
Below is a piece of a local pizza place menu where Jacob works.
Large Cheese Pizza $14.85
Large Supreme Pizza $16.90
Cheese Sticks $5.99
Dessert Pizza $6.99
4. The largest order last Saturday was from a basketball team that ordered 5 large supreme pizzas, 5 large cheese pizzas, 5 orders of cheese sticks and 5 dessert pizzas. Jacob said the total was about $225. Is this reasonable? Justify your response using estimation. If the answer is not reasonable, identify the error and then calculate the correct solution.
Jacob's estimate of $225 for the basketball team's order is reasonable. Our calculations show a total estimated cost of $223.75, which is close to Jacob's estimate.
To determine if Jacob's estimated total of $225 for the basketball team's order is reasonable, we can perform a quick estimation.
First, let's list the items ordered:
5 large supreme pizzas at $16.90 each5 large cheese pizzas at $14.85 each5 orders of cheese sticks at $5.99 each5 dessert pizzas at $6.99 eachNext, we will estimate the total cost for each category:
5 large supreme pizzas: $16.90 x 5 = approximately $84.505 large cheese pizzas: $14.85 x 5 = approximately $74.255 cheese sticks: $5.99 x 5 = approximately $305 dessert pizzas: $6.99 x 5 = approximately $35Now, summing these estimates: $84.50 + $74.25 + $30 + $35 = $223.75
Thus, Jacob's estimate of about $225 is reasonable, as our estimation shows a total of $223.75, which is close to his figure.
osha requires a ladder to meet the ground at 75 degree angle in order to function as safely as possible. of you need the ladder to reach a ledge 20 feet up a vertical wall, how long does the ladder need to be?
The diameter of a sphere is 8 centimeters. What is the volume of the sphere? Use 3.14 for pi. Enter your answer, as a decimal, in the box. Round only your final answer to the nearest tenth. cm³
Algebra 2 help please? And explanation too. Thanks!
5. Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary.
2 log 4 – log 3 + 2 log x – 4 = 0
(1 point)
12.3308
43.3013
86.6025
1,875,
The front row in a movie theater has 23 seats. If you were asked to sit in the seat the occupied the median position, in which seat would you have to sit?
PLEASE HELP!! I do not understand this. And can you explain it for me when I use it again?
1. A rectangular prism is defined as the drawing shows. Note B at (0, 5, 0) and F (0, 0, 4). The prism is reflected over the xz-plane. The reflected image is then translated 2 units back, 3 units left, and 1 unit up.
a.) Show the results of your calculations for points A, B, C and D from the reflection.
b.) Show the results of your calculations for points A, B, C and D from the translation.
Here is the image- https://us-static.z-dn.net/files/d78/3d779b3d254fe859e35a544af4257d2f.png
choose the most appropriate strategy and then use it to solve the quadratic equation.
7. (x-8)^2=121
8. 2a^2=8a-6
9. x^2+12x+36=4
10. x^2-x+30=0
Just want to know if this is right...
a forest ranger spots a fire on a 28 foot tower,the angle of depression from the tower to the fire is 11 degrees to the nearest foot how far is the fire from the base of the tower show the steps you use to find the solution
running short on time to turn this answer in plz help
1.The ordered pair ( 1, 2 ) lies in which quadrant?
Quadrant I
Quadrant IV
Quadrant II
Quadrant III
2.Find the difference. 86 - ( -17 )
69
-69
103
-103
3.Simplify the expression 14 · 2 ÷ 7.
-4
-1
0
4
4.Write a variable expression for the word phrase, "five less than a number m".
M + 5
5 - m
M - 5
5 ÷ m
5.Identity the expression as a numerical expression or a variable expression. 50x
Numerical expression
Variable expression
6. the set of whole numbers and their opposites are known as ________.
Absolute Values
Positive numbers
Integers
Negative numbers
7.Use <, >, or = to complete the statement. -55 ____ -56
Evaluate 4( 6 ) + 7(5 - 3).
118
80
10
38
Find the -5 + (-6).
-11
-1
1
11
Someone help me plz .....