Answer:
Step-by-step explanation: a, c, and e
Find AE. Round the answer to the nearest tenth.
A 9.7
B. 13.5
C. 16.1
D. 17.3
AE= 17.4 to nearest tenth
Step-by-step explanation:
Opposite + hypotenuse = SOH / sin
Sin 31 = 6/h
xh, then ÷ sin31
H= 6/sin31
H= 11.649....(a or b & 6 being a or b)
a^2 + b^2 = c^2
c = 13.1
Actually it's not a right-angle triangle
180 - 13+31 (or 44) = 136 degrees
Cosine rule: a^2=b^2+c^2 - 2bc cosA
AE = root 11.649...^2 + 7^2 - 2x11.649...x7xcos136
= 17.3791......
AE= 17.4 to nearest tenth
Hope this helps!
Help quick!!!!!!!!!!!!!!!!!
Answer:
P = 56.562
Step-by-step explanation:
Perimeter of a semicircle:
P = πr + 2r
Given:
r = 11
Work:
P = πr + 2r
P = 3.142(11) + 2(11)
P = 34.562 + 22
P = 56.562
A triangle has an angle that measures 68º.
Which of these can be the measures of the
other two angles?
A. 112° and 90°
B. 84° and 42°
C. 54° and 58°
D. 28° and 152°
Answer: B
Step-by-step explanation:
Dont trust me
HELP!! need asap
choose the correct simplification of the expression parentheses 3X parentheses exponent four
Answer:
probably would be 12x⁴, but I'm not 100% sure tho.
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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On Wednesday, a local hamburger shop sold a combined total of 360 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
120
Step-by-step explanation:
360 combined, 2/3 is cheese, so 1/3 is hamburger, 1/3 of 360 is 120.
5 times a number k minus 9 is two thirds of a number j. solve for j
Answer:
j= 15k−27/2
Step-by-step explanation:
What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
Jesse rides his bike to school on most days. The school is 4.5 miles from his house. If it takes him 13.5 minutes to ride to school, what is his rate per mile?
Roland’s Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 1 economy seat must be sold and at least 6 deluxe seats must be sold. The maximum number of passengers allowed on each boat is 30 Roland’s Boat Tours makes $40 profit for each economy seat sold and $35 profit for each deluxe seat sold. What is the maximum profit from one tour?
Roland’s Boat Tours will make more money if they sell more economy seats, hence the maximum profit is attained if they only sell the minimum deluxe seat which is 6
6*35+ 24*40 = 210+960= $1170
Given details
To make a complete tour, at least 1 economy seats
and 6 deluxe seats
Maximum passengers per tour = 30
"Boat Tours makes $40 profit for each economy seat sold and $35 profit for each deluxe seat sold"
Therefore, to maximise profit, he needs to take more of economy seats
Hence
Let a deluxe seat be x and economy seat be y
Maximise
6 x+ 24y = 30
The maximum profit from one tour is = 6*35+ 24*40 = 210+960= $1170
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Use the following information collected in a town of fast food restaurants. 13 served hamburgers, 8 served roast beef sandwiches, 10 served pizza, 5 served hamburgers and roast beef sandwiches 3 served hamburgers and pizza, 2 served roast beef sandwiches and pizza, 1 served hamburgers, roast beef sandwiches and pizza, 5 served none of the three foods
a) Construct a Venn Diagram and put the correct numbers in the Venn diagram.
b) Find the Probabilities. P(pizza)= ___________
c) P (roast beef and pizza)=___________
d) P ( hamburgers, but not roast beef) =______________
e) P (only hamburgers) = ____________
Answer:
I don't know what are you saying bro
luck is preparing food for his dog he mixes 3 cup of dry food and some cup of wet food he put all the food into 4 bowls he puts 5/4 cups into each bowl
To find the amount of wet food Luck mixed with the dry food, we can use the fact that he put 5/4 cups into each of the 4 bowls. Therefore, he used a total of 5/4 x 4 = 5 cups of wet food.
Thus, Luck mixed 3 cups of dry food and 5 cups of wet food to prepare the dog's meal.
Please help for 40 points!
The radius of a circle is 6 cm. Find its circumference in terms of π.
Answer: 18.84
Step-by-step explanation: just multiply 3.14 by the radius
WHAT 6 x 3!!!!! SIX TIME 3
Answer:
18
Step-by-step explanation:
6x3=18
(hope this helps can i plz have brainlist :D hehe)
Answer:
18
Step-by-step explanation:
lol....................
Question 16 of 50
The point (1, -4) is a solution of the system:
x + 2y = -7
-4y = -x
True
False
Answer:
False
Step-by-step explanation:
1 + 2 (-4) = -7
1 - 8 = -7
-7 = -7
-4 (-4) = -1
16 = -1
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
please help!
this is due by tonight
Answer:
6
Step-by-step explanation:
The two triangles are similar which means the the two length is parallel
.°., the Length of the smaller triangle=6
Rochelle and Irene do some fundraising for their sporting team. Together they raised $741.
If Irene raised $p, and Rochelle raised $199 more than Irene:
Solve for the value of P
Answer:
$271
Step-by-step explanation:
$741-$199= $542
$542/2= $271
271=p
Irenes $271+ Rochelles $271+199 more than Irene= $741
Irene only raised $271 and rochelle raised 470$
Find the measure of each angle.
Please help with this math work!! Solve for x , Assume which appear tangent are tangent
Answer:
photo is not clear so i can't help u
Answer:
i cant really see the q so sorry but goodluck <3
write an equation for a radical function that has a domain of all real numbers greater than or equal to -2 and a range of all real numbers greater than of equal to 1
\( y = 1 + \sqrt{x + 2} \)
the root must at least be 0 to have a solution. the "1+" makes it at least 1 instead of zero
For #81-84, fill in the missing dimensions from the given expression. Then rewrite the
expression as a product.
2x+24
(81.)
(82.)
2x
(83.)
84. Expression as a product
Choices for 81-84:
A) 2
E) 12
AE) 2x
CD) 4x(x+4)
24
B) 4
AB) 14
BC) 4x
CE) 2(2x+9)
C) 6
AC) 16
BD) 4(x+6)
DE) 2(x+12)
D) 9
AD)
x
BE) 2(2x+16)
ABC) 4x(x+14)
The missing dimensions from the given expression should be completed with the following:
(81.) A) 2
(82.) AD) x
(83.) E) 12
The expression as a product should be written as: DE) 2(x + 12).
What is a factored form?In Mathematics and Geometry, a factored form can be defined as a type of quadratic expression that is typically written as the product of two (2) linear factors and a constant.
In this scenario and exercise, we would complete the table above by showing the factored form and expanded form of each of the given expressions as follows;
x 12
2 2x 24
Note: 2x/2 = x.
24/2 = 12.
(2x + 24) = 2(x + 12).
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A student flips four different coins at the same time. Which choice shows all of the possibilities for the results of the coin toss? (H = heads, T = tails)
A HH, TT, HT, TH
B HHHT, HTTT, HHTT
C HHH, TTT, HTH, HTT
D HHHH, HTHH, HTTH, HTTT, TTTT
Answer:
D
Step-by-step explanation:
Please mark brainliest
Answer:
This is the event X1=H. There are 8 outcomes in this event. Let C be the event that the first flip and the third flip are both heads. So A and B would not be the answer so I am guessing it is D and if I am right pls mark me brainless
you invest $ 2400 into an account over 7 years. the account draws 3% interest. how much interest would the account gain over the 7 years
To solve this question, we can use the simple interest formula.
\(A=P_0(1+r)\)Where A represents the end amount, P represents the investment, and r represents the rate. We have all of the values for the right side of the equation, then, we just need to plug them in the equation to get our desired value.
\(A=2400(1+0.03)=2400\times1.03=2472\)The interest is the amount added to our initial amount. Since we started with $2400 and ended with $2472, the interest is their difference.
\(2472-2400=72\)The interest the account gained over 7 years is equal to $72.
● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies? Show your work.
The fraction of the area of the tray occupied by the blondies is 1/9.
To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.
Let's calculate the area of each individual blondie:
The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.
Now, let's calculate the area occupied by the blondies in each row:
Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.
So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.
Next, let's determine the area occupied by the brownies:
The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.
Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.
Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.
Now, let's calculate the total area of the tray:
Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:
Total area of the tray - Area occupied by the brownies = Area occupied by the blondies
648 square inches - 576 square inches = 72 square inches.
So, the fraction of the area of the tray occupied by the blondies is:
Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:
72 square inches / 648 square inches = 1/9.
Therefore, the blondies' percentage of the tray's surface area is 1/9.
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One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 3 units wide.
The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.
To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.
Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.
The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units
Area of the inner rectangle = length × width= 6 × 4 = 24 square units
Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units
Therefore, the area of the shaded region is 264 square units.
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given the following venn diagram, where a and b are each represented by an oval: exam image which regions make up ( aexam imagebc )c?
The correct answer is U - II = I + III + IV.
In order to solve problems based on these sets, we can use a Venn diagram to depict the logical relationship between sets and their components. Although other closed figures like squares may be used, a Venn diagram commonly uses intersecting and non-intersecting circles to indicate the relationship between sets.
c represent the compliment of the particular state.
U is the union set
∩ represent intersection between the neighbouring sets
Therefore,
Bc = U - B = I + II
Bc∩A = Area common in Bc and A = II
(Bc∩A)c = Area in U but not in (Bc∩A) = U - II = I + III + IV
So, answer is d.
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Multiply.
3√2•2√8•√3•√6
Enter your answer, in simplest radical form, in the box.
The simple radical form is 72√2.
What is simple radical form?
If we know the prime factorization of 32, we can write the simplest radical form of the square root of 32. Thus, the prime factorization of 32 is 2 × 2 × 2 × 2 × 2. If it is written in the radical form, then the simplest radical form of the square root of 32 is 4√2. Square Root of 32 in Radical Form: 4√2.
Given,
3√2•2√8•√3•√6
= 3×√2×2×√8×√3×√6
as we know √ab = √a√b
we can write, √8 = √2√4 and √6 =√2√3
we get,
=3×√2×√2×√4×√3×√3×√2
=3×2×2×3×√2
=72√2
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what is the product of 2(-4)
Answer:
-8
Step-by-step explanation:
First, write it out in standard form:
2 x (-4)
Then multiply!
Answer:
-8
Step-by-step explanation:
it is basically 2 x -4 and a negative times a positive is a negative which makes it -8
So, which one is the answer?