Answers
SOLUTIONS
Let the diagonal = d
Let the length = l = d - 4
and the width = w = d - 6
Area of the rectangle = 84m²
\(\begin{gathered} A=l\times w=84 \\ (d-4)(d-6)=84 \\ d^2-6d-4d+24=84 \\ d^2-10d+24-84=0 \\ d^2-10d-60=0 \end{gathered}\)Therefore the correct value of the diagonal is
\(\begin{gathered} d=14.219 \\ d\approx14.2m \end{gathered}\)Final AFinal nswer :
d ≅ 14.2m
Related Questions
PLS HELP I WILL GIVE BRAINLIEST
Answers
Answer:
45 degrees
Step-by-step explanation:
The interior of a triangle always adds up to 180. Since one of them is a right angle, which is always 90 degrees, and two lines of the triangle are as long as eachother, 180-90 is 90 degrees, and that is divided by two, which is 45.
1,3,6,10,15,21,28 as a function
Answers
It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:
f(n) = n*(n+1)/2
Where n is the position of the number in the sequence.
So, for example:
f(1) = 1*(1+1)/2 = 1
f(2) = 2*(2+1)/2 = 3
f(3) = 3*(3+1)/2 = 6
and so on.
Find the unknown 9,006-7,474?
Answers
i need help with this
Answers
Answer:
12.5%
Step-by-step explanation:
PLS HURRY
Use the protector to measure the angle.
Answers
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°. What is the angle between the ground and steepest slope on the real rollercoaster?
Answers
The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?
To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.
The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.
The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.
That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)
The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.
That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,
the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°
The negative sign indicates that the angle is measured below the horizontal line.
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Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
(48-17) - w
Answer here
SUBMIY
Answers
The simplified version of the expression would be 31-w
The numerical part of the expression given is :
48-17Simplifying using Subtraction operation:
48-17 = 31Adding the alphabetical part :
31 - wTherefore, the simplified form of the expression is 31-w.
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Evaluate 1 + b for b = 13.
Answers
Answer:
\(14\)
Step-by-step explanation:
\(1+b\)
We know that \(b=13\) so we put that into our equation.
\(1+13\)
Add:
\(14\)
Answer:
\( \boxed{ \bold{ \huge{ \boxed { \sf{ 14}}}}}\)
Step-by-step explanation:
Given, b = 13
plug the value of b . Thenafter, add the numbers
\( \sf{1 + b }\)
\( \dashrightarrow{ \sf{1 + 13}}\)
\( \dashrightarrow{ \sf{14}}\)
Hope I helped!
Best regards! :D
7+(24/6)+(3²/3)+10 need help solveing it out
Answers
Answer: 24
Step-by-step explanation:
7+(24/6)+(3²/3)+10
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.
7+24/6+3^1+10 Also when I say 3^1 I mean 3 and the exponent is 1
Divide 24 by 6 to get 4.
7+4+3^1+10
Add 7 and 4 to get 11.
11+3^1+10
Calculate 3 to the power of 1 and get 3.
11+3+10
Add 11 and 3 to get 14.
14+10
Add 14 and 10 to get 24.
What happened to the comments?
Answers
Answer: I dont know what you mean by that.
Step-by-step explanation:
Face book comments can disappear for one of two reasons: the person who posted the comment on a post deleted it or the person who owns the original post deleted the comment because they didn't like it. From a business perspective, it may make sense to delete comments for many reasons.
Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations.
(a) The process standard deviation is 0.25, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.75 or greater than 10.25 ounces will be classified as defects. If required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number.
Probability of a defect:
Number of defects:
Answers
The probability of a defect is 5.7330 x \(10^{-5}\) and the number of defects is 5.73.
To calculate the probability of a defect, we need to find the area under the standard normal curve that lies outside of the process control limits of 9.75 ounces and 10.25 ounces. We can use the standard normal distribution table to find this area.
First, we need to standardize the weight limits as follows -
\(Z_{lower}\) = (9.75 - 10) / 0.25 = -4
\(Z_{upper}\) = (10.25 - 10) / 0.25 = 4
Next, we will find the area under the standard normal curve that lies outside of these limits as follows -
P(Defect) = P(Z < -4) + P(Z > 4)
Using a standard normal distribution table, we can find that P(Z < -4) = 2.8665 x \(10^{-5}\) and P(Z > 4) = 2.8665 x \(10^{-5}\) .
So, the total probability of a defect is -
P(Defect) = 2.8665 x \(10^{-5}\) + 2.8665 x \(10^{-5}\) = 5.7330 x \(10^{-5}\)
Finally, we will find the number of defects for a 1,000-unit production run as follows -
The number of defects = 1000 * 5.7330 x \(10^{-5}\) = 5.73 (rounded to the nearest whole number).
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can anyone help me with this? im confused
Answers
Answer:
1,2,3 and 6 are similar triangles by AA similarity
Step-by-step explanation:
1) ∠DEC ≅ ∠FEG {Vertically opposite angles}
DC // GF
∠ECD ≅ ∠EGF {Alternate interior angles}
∠EDC ≅ ∠EFG {Alternate interior angles}
ΔDEC & ΔFEG are similar triangles by AA similarity
2)MN // QP
∠LQP ≅ ∠QMN {Corresponding angles }
∠LPQ ≅ ∠PNM {Corresponding angles}
ΔLQP & ΔLMN are similar triangles by AA similarity
3) In ΔSYE ,
∠S = 180 - 90 - 39
∠S = 51°
In ΔCHW,
∠H = 180 - 51 - 90
∠H = 39
ΔSYE and ΔCHW
∠S ≅ ∠W = 51°
∠Y ≅ ∠C = 90°
∠E ≅∠H = 39°
ΔSYE & ΔWCH are similar triangles by AA similarity
6) ∠P ≅ ∠Z {Given}
∠PXQ ≅∠ZXY {Vertically opposite angles}
ΔPXQ & ΔZXY are similar triangles by AA similarity
What are the TERMS in the expression: 7x − 5y − x + 6
A: 7, 5 and 6
B: 7x, 5y, x, and 6
C: x, and y
Answers
Answer: B i think
Step-by-step explanation:
A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.
Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
Answers
The taxi ride was 7 miles
How to calculate the number of miles ?Mia took a taxi from her house to the airport
The taxi charged a pick up fee of $1.30
They also charged $4.25 per mile
The total fare was $31.05
The number of miles can be calculated as follows
31.05 - 1.30 = 4.25x
29.75= 4.25x
Divide both sides by the coefficient of x which is 4.25
29.75/4.25= 4.25x/4.25
x= 7
Hence the taxi ride was 7 miles
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What translation vector translates A (-2, 7) to A ( 5, -1)
Answers
Answer:
(3,6)
the answer is (3,6)
Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answers
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
Answers
You spin a spinner with 8 equally likely spaces numbered 1 to 8. Event A is the
probability of lading on a prime number {2, 3, 5, 7). Event B is the probability of landing
on an odd number. What is An B?
O No Solution
O [1, 2, 3, 4, 5, 6, 7, 8}
O {3, 5, 7}
O {1, 2, 3, 5, 7}
10 pts
Answers
Answer:
A spinner has equal sections numbered 1-8. If you spin the spinner once, what is the probability that you will not get a 5? | Socratic A spinner has equal sections numbered 1-8. If you spin the spinner once, what is the probability that you will not get a 5?
Step-by-step explanation:
please need to show work
Answers
Answer:
A
Step-by-step explanation:
formula is A=2a2+4ah
A= 2*5^2+4*5*5
A=50+100
A=150
What’s the answer to If =3+23
, what is
when =1
and =2
?
Answers
The value of y when a = 1 and b = 2 is 22.
How to solve an equation?The equation of can be solved as follows: We will substitute the value of a and b in the equation to find the value of y.
Therefore,
y = 3ab + 2b³
Let's find y when a = 1 and b = 2
Hence,
y = 3(1)(2) + 2(2)³
y = 6 + 2(8)
y = 22
Therefore,
y = 22
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PLEASE HELP WILL MARK BRAINLIEST THANK YOU SO MUCH I APPRECIATE THE HELP
Answers
Answer:
Step-by-step explanation:
D
The easiest angle to solve for is D. It is made of a perpendicular line and a horizontal line. So d and the right angle add to 180 degrees.
d + 90 = 180 Subtract 90 from both sides.
d = 180 - 90
d = 90
F
f and 66 are also have 1 leg sitting on s straight line.
So f + 66 = 180 because a straight line has 180 degrees.
f + 66 = 180 Subtract 66 from both sides
f = 180 - 66
f = 114
E
E and 66 are vertically opposite. That means they are equal
E = 66
Use 2-3 sentences to explain, in your own words, the difference between an angle of elevation and an angle of depression. Use geometry vocabulary.
Answers
A vegetable garden has 3 tomato plants for every 5 lettuce plants. How many tomato plants are there if there are 45 lettuce plants?
Please help ( no PDF)
Answers
Answer:
the answer is 27
Step-by-step explanation:
because 45 divided by 5 equals 9
and 9 times 3 equals 27
Dr. Dominic Estores has written a prescription for a patient to take a preoperative medication at 2200 on the evening before his scheduled surgery. Using the standard time system, what time should you tell the patient to take his medication?
Answers
Using the conversion from the 24-hour system to the AM/PM system, the patient should take the medicine at 10 PM.
How to convert from 24 hours to AM/PM?If the hour is between 0 and 11:59, the hour is kept with AM.If the hour is 12, it is PM.If the hour is between 13 and 23:59, the hour the remainder of the division of the hour and 12, PM.22 divided by 12 has remainder 10, hence 22 is equivalent to 10 PM.
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Help me what is X/5-3/7
Answers
Answer:
15/7 or 2.142
Step-by-step explanation:
x=3/7×5
x=15/7
solve for q. q/19 = 5
Answers
Step-by-step explanation:
we need to find q. so we need to make q as a subject. so we need to bring the 19 to the right hand side to leave q alone. so the ÷19 will be × 19 so 5×19 and we will get the answer 95. That's the answer !
Enter the number that belongs in the green box. 4 51° 109°
Answers
The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.
What is the length of the longest side?It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.
Consequently, it follows from the sine law that;
4 / sin 20° = x / sin 109°
x = 4 sin 109° / sin 20°
x = 11.06.
Ultimately, the number that belongs in the green box is; 11.06.
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Find the circumference of the circle. Use 3.14 or for . Round to the nearest tenth if necessary. a helicopter pad with a diameter of 15 yards
Answer Choices:
a. 23.6 yd
b. 7.5 yd
c. 47.1 yd
d. 94.2 yd
Answers
Answer:
C
Step-by-step explanation:
47.1
you do 3.14 times 15.
Answer:
The aswer is C. 47.1 Yards
please help me with this
Answers
Answer:
the second one
Step-by-step explanation:
find the product using suitable product 854×102 step by step explanation
Answers
Answer:
87108
Step-by-step explanation:
854 x 102
= 854 x ( 100 + 2 )
= 854 ( 100 ) + 854 ( 2 )
= 85400 + 1708
= 87108
854
102 x
——-
87108