The area of the given triangle is 45 square units.
What is the area of a triangle?The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
In the given triangle, measure of the side base is 10 units and height is 9 units.
Here, area of a triangle = 1/2 ×10×9
= 45 square units
Therefore, the area of a triangle is 45 square units.
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Sarah lives in Ruthin and works in Oswestry for 5 days a week. each day she travel to and from work. Work how many miles does she commute a week
Answer: 330 miles
Step-by-step explanation:
The distance provided for the question is:
Wrexham
18 Ruthin
21 12 Cornwen
15 33 23 Oswestry
What this means is that Ruthin and Oswestry are 33 miles apart.
Each day, Jane travels back and forth for a total of:
= 33 * 2
= 66 miles
In 5 days she would have travelled:
= 5 * 66
= 330 miles
i need help asap:
The lengths of a triangular plot of land
measure 19 yards, 23 yards and 27 yards.
Find the largest angle for this plot of
land.
Answer:
79.4° to the nearest tenth of a degree
Step-by-step explanation:
You are trying to find the angle opposite the side of length 27.
Let the length of that side be c and a and b be the lengths of the other two sides and let C be the measure of the angle you are looking for
Using the law of cosines
[tex]c = \sqrt{a^{2} + b^{2} - 2abcos C}[/tex]
[tex]27 = \sqrt{19^{2} + 23^{2} - 2(19)(23)cosC}[/tex]
[tex]27^{2} = 19^{2} + 23^{2} - 2(19)(23)cosC[/tex]
729 = 361 + 529 - 874cosC
729 = 890 - 874cosC
-161 = -874cosC
-161/-874 = cosC
.1842105.... = cosC
C = arccos .1842105.... = 79.4° to the nearest tenth of a degree
The area of a rectangle is 24 inches squared. The BASE is 6 in. What is the HEIGHT? *
pls fast
Answer:
4
Step-by-step explanation:
6*4=24
Base=6
Total=24
24/6=4 Height=4
*if iḿ wrong plz tell me
Which expression represents a number, p, added to the difference of 25 and 5?
A. 25-5+p
B. 25-5-p
C. 25+5-p
Answer:
A.
Step-by-step explanation:
Two sides of a right triangle measure 2 units and 4
units.
What is the area of the square that shares a side with the third side of the triangle?
units^2
2
squared
Hey there!
The answer is √20 or approximately 4.47
We can use the Pythagoreon Theorem, which is [tex]a^2 +b^2=c^2[/tex]. [tex]a[/tex] and [tex]b[/tex] are the names of the two sides, and [tex]c[/tex] is the name of the hypotenuse leg, or the longest side. We will plug the numbers into the formula, and solve:
[tex]2^2+4^2=c^2\\4+16=c^2\\20=c^2\\4.47...=c[/tex]
Have a terrifcly amazing day!
A box will be built with square base and an open top. Material for the base costs $8 square foot, while material for the side's costs $2 per square foot. Find the dimension of the box of maximum volume that can be built for $2400.
The height and side of the box for the maximum volume are 20 feet and 10 feet respectively.
What is area?Area is the amount of space occupied by a two-dimensional figure.
How to calculate the area of square?The area of square is the product of the length of each side with itself.
[tex]A = a^{2}[/tex]
Where,
A is the area of square
a is the length of the side of square
What is volume?Volume is the measure of the capacity that an object holds.
Formula for the volume of cuboidvolume = length × breadth × height
According to the given question
We have
A box with the open top and square base.
Let x be the side of the box. And h be the height of the box
Also, the cost of material for the base is $8 and for side is $2 per square foot.
The total cost of material for the box is $2400
⇒[tex]8x^{2} + 4(2xh) = 2400[/tex]
⇒ [tex]8x^{2} + 8xh = 2400\\[/tex]
⇒[tex]x^{2} + xh = 300[/tex]
⇒ [tex]h = \frac{300-x^{2} }{x}[/tex]
Therefore,
volume of the box
[tex]= x^{2} h[/tex]
= [tex]x^{2} \frac{3000-x^{2} }{x}[/tex]
= [tex]x(300-x^{2} )[/tex]
= [tex]300x - x^{3}[/tex]
for the maximum volume,[tex]\frac{d}{dx}(v)=0[/tex]
⇒ [tex]300 - 3x^{2} =0[/tex]
⇒[tex]300 = 3x^{2}[/tex]
⇒ [tex]x^{2} =100[/tex]
⇒ x = ± 10
⇒ x= 10 feet (x = -10 not possible)
So, h = [tex]\frac{300-100}{10} = 20feet[/tex]
Hence, the height and side of the box for the maximum volume are 20 feet and 10 feet respectively.
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Pls help I’ll brain-lest ASAP
P = 2( L + W )
-divide both sides by 2
P/2 = L + W
-subtract L from both sides
P/2 - L = W
or
(P - L) / 2 = W
Please Help! I need to turn this in today!
Answer:
45
Step-by-step explanation:
15 3/4percent is equal to which decimal
Answer:
Step 1: Multiply the whole number by the denominator:
15 3/4 = 15.75
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator:
15 × 4 = 60
Step 2: Add the product you got in Step 1 to the numerator:
60 + 3 = 63
Step 3: Divide the sum from Step 2 by the denominator:
63 ÷ 4 = 15.75
That's it folks! The answer to 15 3/4 in decimal form is displayed below:
Does anybody know how to do this or at least part of it anything would really help!!
Answer:
So the given equation is h= -5t^2+40t
the first question asks when it will be 75 meters above the ground. So plug in 75 for h and find t
75= -5t^2+40t
start by dividing everything by 5
15= -x^2 + 8x
then you can add x squared to both sides and subtract 8x
x^2 - 8x + 15 =0
then you can plug it into the quadratic formula, which is a pain to type so I did it on paper.
x = 5 or 3
so it will be 75 meters above the ground at 3 seconds and 5 seconds
Rewriting the equation
ok so I accidentally already factored it when I divided everything by 5...
I believe the answer here is x^2 - 8x + 15 =0
The meaning of the x intercepts is when h=0 or the object is 0 meters above the ground (basically when it starts and when it ends)
the maximum height is greater than 75 because it gets to 75 meters 3 seconds after it is thrown, and continues going higher before it comes back to 75 two seconds later.
The object is airborne for 8 seconds because the second x intercept is at (8,0)
Which solution value satisfies the inequality x + 10 > 12?
Question 1 options:
A)
x = 3
B)
x = –1
C)
x = 0
D)
x = 2
Answer:
A) x=3
Step-by-step explanation:
As for B, C, and D,
if x=-1, 9>12 is not true,
if x=0, 10>12 is not true
if x=2, 12>12 is not true
PLZZZ HELP IT'S FOR MIDDLE SCHOOLLLLL
jordans dog weighs p pounds emmett's dog weighs 25% more than jordan's dog which expressions represent the weight in of emmett's dog? a.0.25p b.1.25p c. p + 0.25 d. p + 1.25 e. p + 0.25p. Select two answers.
Answer:
B
Step-by-step explanation:
I think because if it weighs 25% more, then Jordans dog is the "1" part and Emmetts dog is the .25 part.
Answer:
B, 1.25p
Step-by-step explanation:
Lets say that Jordan's dog is a certain weight making him 1, It says Emmett's dog weighs 25% more, so that would give us 1.25. Now the reason is that it's B instead of C is that we have a p next to our 1.25. This means that its 1.25 x p, p being your pounds. So if you were to understand this equation, it would be, 1.25 x pounds. Let's also remember 1 x 1 = 1. So 1 x 1.25 is 1.25. 1 times anything is going to be the same number.
I need help with this math problem please help.
Answer:
A
Step-by-step explanation:
since the shaded area is before x=-3 and x=-3 is a dashed line, x<-3 is the answer for x. That knocks out half the answers. the slope intercept form for the other line is y=-x-1. The answer with the slope as y would be the answer for the second half. A has both answers correct. (sorry for bad explaination, I am not a native speaker)
Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.
Answer:
y = 1/20x + 6
Step-by-step explanation:
The number of minutes is your x-value. The amount charged is your y-value.
Let's convert the numbers in the table into coordinates.
(30, 7.5)
(120, 12)
(220, 17)
Now, we will take two points and use the slope formula to plug into the slope-intercept equation: y = mx + b
I chose the first and last points given. All three points do not lie on the same line, but using the first and last point should be closer to the line of best fit.
(30, 7.5) & (220, 17)
m = (y₂ - y₁) / (x₂ - x₁)
m = (17 - 7.5) / (220 - 30)
m = (9.5) / (190)
m = 0.05 = 5/100 = 1/20
m = 1/20
Plug m into your equation.
y = 1/20x + b
To find b, plug in a point for x and y.
17 = 1/20(220) + b
17 = 11 + b
b = 6
Plug b into your equation.
y = 1/20x + 6
Hope this helps!
Suppose that you and your friends attend a basketball game. You buy a block of 8 tickets for $192. You want to know the price per ticket. That price can be expressed as a unit rate. What is that rate?
Answer:
$38.40
Step-by-step explanation:
you have to divide 192 by 8.
solve and receive brainlist
Answer:
x = 4
Step-by-step explanation:
2x + 1 = 9
2x = 9 - 1
2x = 8
x = 4
Answer:
x=4
Step-by-step explanation:
9-1=8
8/2=4
True or false: is x=4 a solution to |x+5| =-9?. Explain
Answer:
No
Step-by-step explanation:
if u subsitute x for 4, 4+5 would equal positive 9.
Write the third column of the matrix as a linear combination of the first two columns, if possible. (If not possible, enter IMPOSSIBLE on both answer blanks.) 1 2 15 7 8 57 6 5 34
Answer:
Elements in third column = - (elements in the first column) + 8(elements in the second column)
Step-by-step explanation:
A matrix is a rectangular array in which elements are arranged in a rows and columns.
Order of a matrix = Number of rows × Number of columns
Given matrix is [tex]\left[\begin{array}{ccc}1&2&15\\7&8&57\\6&5&34\end{array}\right][/tex]
Here,
[tex]15=-1+8(2)\\57=-7+8(8)\\\34=-6+8(5)[/tex]
So,
Elements in third column = - (elements in the first column) + 8(elements in the second column)
4 x 3/4 is greater than 3/4 , since 4 is greater than 1. True o false
Answer:
Trueeee I guessss
Step-by-step explanation:
I don't know
solve for n.
1.) 7.26 × 0.22=n
2.) 17.92 × 0.64=n
3.) 7.65 × 0.65=n
4.) 36.20 × 0.05=n
5.) 31.86 × 0.92=n
Answer:
1.) 1.5972
2.) 11.4688
3.) 4.9725
4.) 1.81
5.) 29.3112
Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the variance. Round answer to 4 decimal places. Answer:
Answer:
a) P(X=1) = 0.302526
b) P(X=5) = 0.010206
c) P(X=3) = 0.18522
d) P(X≤3) = 0.92953
e) P(X≥5) = 0.010935
f) P(X≤4) = 0.989065
If helpful, please mark as brainliest! =)
Given a random variable x following binomial distribution. If n = 25 and p = 0.85, the variance = 3.1875.
What is variance of binomial distribution?
Variance of the binomial distribution is a measure of the dispersion of the probabilities with respect to the mean value. The variance of the binomial distribution is σ² = npq, where n is the number of trials, p is the probability of success, and q is the probability of failure.
Given random variable x follows binomial distribution.
n = 25
p = 0.85
q = 1 - 0.85 = 0.15
variance = npq = 25 * 0.85 * 0.15 = 3.1875
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How much interest would you have if you deposited $200 that if you deposited $150?
Answer:
Difference = 206 - 154.5 = $51.5
In short, Your Answer would be: $51.5
Multiply the following complex numbers. Reduce terms and simplify. Explain how your simplified result and the first term in the pair below are related algebraically to each other and to the complex number (1 + i).
1 1 - i
_____ * _____
1 + i 1 - i
Answer:
= 1/2 - 1/2i
Step-by-step explanation:
100 points!!! Show your work on paper
Answer:
10 cm, 15 cmStep-by-step explanation:
Set ratios and solve for x
Corresponding sides are AC with A'C' and CB with C'B'
AC/A'C' = CB/C'B'(x - 1)/2 = (x + 4)/33(x - 1) = 2(x + 4)3x - 3 = 2x + 83x - 2x = 8 + 3x = 11Find the values of AC and CB:
AC = x - 1 = 11 - 1 = 10 cmCB = x + 4 = 11 + 4 = 15 cmAnswer:
AC=10cm
BC=15cm is your answer
Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21?
Answer:
4 1/2 flowers
Step-by-step explanation:
2 + 3 = 5 and 4 x 5 = 20 and plus half a flower.
if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?
Answer:
cost of 1 tie = 11
cost of 1 shirt = 52
Step-by-step explanation:
When you graph two lines to a system what are the 3 possible outcomes?
Answer:
infinite solution, one solution, no solution
Step-by-step explanation:
hope this helped:)
find the product 27x3
Answer:
81
Step-by-step explanation:
2
27
x 3
------
8 1
Answer:
81
Step-by-step explanation:
27 × 3
81
Write the fraction as a decimal and percent (two answers)
144/200 of the tickets
Answer:
Answers: 0.72 and 72%.
Step-by-step explanation:
144/200 and 72/100 and 36/50 and 18/25 are equivalent to 72%.
How do you make it 8
Answer:
I think you spend 14 points on it
Answer:
4+4=8
Step-by-step explanation:
I hope it's helpful!
Have a nice day!