A vacant lot is in the shape of an isosceles triangle. It is between two streets that intersect at an 85.9degree angle. Each of the sides of the lot that face these streets is 150 ft. Long. Find the perimeter of the lot to the nearest foot.
Answers
Sin(α)=Opposite/Hypotenuse
α=89.5°/2=42.95°
Opposite=x
Hypotenuse=105
Sin(42.95°)=x/105
x=(105)(Sin(42.95°))
x=71.54 feet
2. Then the other side of the isosceles triangle (b), is:
b=2x
b=2x71.54 feet
b=143.08 feet
3. The perimeter of the isosceles triangle, is:
P=2a+b
P=2(105 feet)+143.08 feet
P=210 feet+143.08 feet
P=353 feet
Related Questions
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
Answers
we know that
[volume of a triangular prism]=[area triangular base]*[length]
[volume of a triangular prism]=[(14.4*2.1)/2]*8.25
[volume of a triangular prism]=124.74 mm³
the answer is 306
How many ways can u write 5 to the power of 8 as a quotient of two exponential terms?
Answers
The answer is "4 ways".
Reason:
You can write it these ways:
= 5^12 / 5^4
= 5^9 / 5
= 5^10 / 5^2
= 5^15 / 5^ 7
Therefore you can write it 4 different ways....
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Just want to know if this is right...
Answers
The answer is 7.
4(7)+15(7)+3+7(7)-5=180
28 + 108 + 45 = 180.
If we plug in 22.5, it will equal 583 not 180.
we will get
WILL GIVE MEDAL AND FAN! your anniversary is usually when you are given _____ by a company
A. an award
B. a job review and possible increase in pay
C. an evaluation
D. a promotion
Answers
Answer: Option 'B' is correct.
Step-by-step explanation:
Your anniversary is usually when you are given a job review and possible increase in pay.
As in a job, job review is given at the time of anniversary, then on the basis of their performance there may be increase in pay.
So, Meaning of anniversary in a official way is when work performance of an individual is discussed and if there is good record , there is an increment.
Hence, Option 'B' is correct.
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?
Answers
The hypotenuse is the length of the ladder.
sin A = opp/hyp
sin 75 = 20/hyp
hyp = 20/sin 75 = 20.7
Answer: 20.7 ft
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
Answers
We are given the diameter of the sphere, but recall that the diameter is twice the radius: [tex]d=2r[/tex]. So the radius is half of the diameter: [tex]r= \frac{1}{2}d[/tex].
Half of 8 cm is 4 cm.
We substitute this for r in the equation and we use 3.14 for π.
[tex]V= \frac{4}{3}(3.14)(4)^3= \frac{(4^4)(3.14)}{3}=267.9 \ cm^3 [/tex]
recall volume of sphere formula is
[tex] \frac{4}{3} \pi \times r {}^{3} [/tex]
we know the diameter so to get the radius we just divide the diameter by 2 to get the radius
[tex]r = 8 \div 2[/tex]
[tex]r = 4[/tex]
know we can plug it into the volume of a sphere formula and solve using 3.14 for pi
[tex]v = (4 \times 3.14 \times 4 {}^{3} ) \div 3[/tex]
simplify the parentheses and get
[tex]v = \frac{803.84}{3} [/tex]
FINAL ANSWER (rounding to nearest tenth)
[tex]v = 267.9 \: cm {}^{3} [/tex]
Emma likes to knit hats and mittens for friends and family. Last fall, she knitted 4 hats and 3 pairs of mittens, which took a total of 46 hours. This fall, she knitted 2 hats and 1 pair of mittens, which took a total of 18 hours. If each hat and each pair of mittens takes the same amount of time to knit, how long does it take Emma to knit a hat and a pair of mittens?
Answers
Final answer:
Emma takes 4 hours to knit a hat and 10 hours to knit a pair of mittens, which was determined by solving two linear equations based on the time she spent knitting during two different falls.
Explanation:
Emma likes to knit hats and mittens, and we need to find out how long it takes her to knit a hat and a pair of mittens individually. Given that last fall she knitted 4 hats and 3 pairs of mittens in 46 hours, and this fall she knitted 2 hats and 1 pair of mittens in 18 hours, we can set up two equations to solve for the time it takes to knit each item.
Let's define H as the number of hours it takes to knit one hat and M as the number of hours it takes to knit one pair of mittens. The equations based on the given information are:
4H + 3M = 46 (Last fall's knitting)
2H + 1M = 18 (This fall's knitting)
To solve these equations, multiply the second equation by 2 to align the hats:
2(2H + 1M) = 2(18)
4H + 2M = 36
Now subtract this equation from the first equation to find M:
4H + 3M - (4H + 2M) = 46 - 36
M = 10
Substituting M back into the second original equation:
2H + 1(10) = 18
2H = 8
H = 4
Emma takes 4 hours to knit a hat and 10 hours to knit a pair of mittens.
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?
Answers
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.
Answers
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.
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
Answers
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
Answers
2. 103
3. 4
4. m - 5
5. variable expression (80% sure)
6. Integers
7. Greater than
8. 38
9. -11
Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols.
2x+7y=4
-4x-3y=14
how would i go about this? please help!!,
Answers
PLEASE HELP ASSAAAAPPPPP
Answers
Someone help me plz .....
Answers
In a circle, all radii are congruent.
OP is also a radius of the smaller circle, so OP = 4.
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.
Answers
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.
Angela spent $30.00 at a resturaunt. if she leaves a 15% tip, how much wll her total bill be
Answers
_____________________________________________________
Explanation:
_____________________________________________________
15% = 15/100 = 15 ÷ 100 = 0.15 .
$30 + {0.15 * $30} = $30 + ($4.50) = " $34.50 " .
_____________________________________________________
Note: "15% of $30 = (0.15 * $30) = $4.50 .
We add the "$4.50" tip to the $30.00 that is spent; to get: " $34.50 " .
_____________________________________________________
Final answer:
Angela's total restaurant bill, after adding a 15% tip to her $30.00 original charge, will be $34.50.
Explanation:
To find out how much Angela's total bill will be after leaving a 15% tip at a restaurant, you first need to calculate the tip amount and then add it to the original bill. You calculate the tip by converting the percentage to a decimal and then multiplying by the cost of the meal. In this case, 15% of $30.00 is found by multiplying $30.00 by 0.15 which gives you $4.50. After calculating the tip amount, add it to the original bill to get the total amount Angela will pay.
Tip: $30.00 * 0.15 = $4.50.
Total bill: $30.00 + $4.50 = $34.50.
Therefore, Angela's total bill, including the 15% tip, will be $34.50.
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.,
Answers
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,
Answers
A rectangle has a length of 7.2 cm and a height of 5 cm. what is the area and perimeter of the rectangle
Answers
Perimeter: 24.4 cm
How is this high school math?
The sec 205° is ____
●A negative value
●A positive value
●0
Answers
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
https://brainly.com/question/16965914
#SPJ2
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?
Answers
The 300 value is the starting amount of cards that Rudy has.
The 17 represents the number of cards that he is getting per day. It started at 15 because that is the amount in a pack of cards. However, he trades one to his brother and gets 3 in return.
15 - 1 + 3 = 17 extra cards per day
Which algebraic expression represents this phrase? the product of 86 and the depth of the river
Answers
86d
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".
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
Answers
1/6th of 42π m² is 7π m², so answer B.
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
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,
Answers
First option
Explanation:
Translating a point four units downwards means that:
the x-coordinate would stay the same
the y coordinate will be decreased by 4
Now, for the given points:
Point R (-3,1)
x coordinate o R' = x coordinate of R = -3
y cordinate of R' = y coordinate of R - 4 = 1 - 4 = -3
R' is (-3 , -3)
Point S (-2,3)
x coordinate of S' = x coordinate of S = -2
y coordinate of S' = y coordinate of S - 4 = 3 - 4 = -1
S' is (-2 , -1)
Point T (2,3)
x coordinate of T' = x coordinate of T = 2
y coordinate of T' = y coordinate of T - 4 = 3 - 4 = -1
T' is (2 , -1)
Point U (3,1)
x coordinate of U' = x coordinate of U = 3
y coordinate of U' = y coordinate of U - 4 = 1 - 4 = -3
U' is (3 , -3)
Comparing the calculated values with the given ones, we will find that the correct choice is the first one.
Hope this helps :)
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.
How do I graph (x−4)(x+2)
Answers
x^2 + 2x - 4x - 8
x^2 - 2x - 8
Let y = x^2 - 2x - 8
It is a parabola.
Take it from here.
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
Answers
.. h(x) = 2^x
it will be the one that grows the fastest. The exponential function with the largest base value will grow faster than any polynomial.
Answer: f(x)=4x2+9x
Step-by-step explanation:
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?
Answers
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Answers
4×11, 4×5, and 11×5 are the three different areas shown. There are two of each, so 44×2, 20×2, and 55×2. 88+40+110=238 square mm.
238 square mm is the surface area.
Answer:
oupuouououuou
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
Answers
Indeed, the total surface area can be found adding the base surface plus the lateral surface. In order to find the lateral surface, you can use the formula:
LS = (slant height × perimeter) / 2
Therefore:
if your slant height is 28, your answer will be 4116cm²
if your slant height is 35, your answer will be 4704cm²
if your slant height is 348.5, your answer will be 31038cm²
if your slant height is 14, your answer will be 2940cm²
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
Answers
(x-8) ^ 2 = 121
(x-8) = + / - root (121)
x = 8 +/- root (121)
The solutions are:
x1 = 8 + root (121)
x2 = 8 - root (121)
2a ^ 2 = 8a-6
2a ^ 2-8a + 6 = 0
a ^ 2-4a + 3 = 0
(a-1) (a-3) = 0
The solutions are:
a1 = 1
a2 = 3
x ^ 2 + 12x + 36 = 4
x ^ 2 + 12x + 36-4 = 0
x ^ 2 + 12x + 32 = 0
(x + 4) (x + 8) = 0
The solutions are:
x1 = -8
x2 = -4
x ^ 2-x + 30 = 0
x = (- b +/- root (b ^ 2 - 4 * a * c)) / 2 * a
x = (- (- 1) +/- root ((- 1) ^ 2 - 4 * (1) * (30))) / 2 * (1)
x = (1 +/- root (1 - 120))) / 2
x = (1 +/- root (-119))) / 2
x = (1 +/- root (119) * i)) / 2
The solutions are:
x1 = (1 + root (119) * i)) / 2
x2 = (1 - root (119) * i)) / 2