Answer:
17.6ft²Step-by-step explanation:
The formula for calculating the surface area of a triangular prism is expressed as shown below:
SA= bh + pH
b= base of the triangle
h- height of the triangle
p= perimeter of the triangle
H= height of the prism
Given b = 1foot
h = 2feet
perimeter of the triangle = sum of all its sides = 1ft + 2ft + 2.2ft
p = 5.2ft
H = 3ft
Substituting the values into the formula for finding the surface area:
SA = 1(2)+5.2(3)
SA = 2+15.6
SA = 17.6ft²
The surface area of the triangular prism is 17.6ft²
Answer:
69 ft^2
Step-by-step explanation:
A circle has a sector with area (3/2) pi and central angle of 60°.
What is the area of the circle?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
Answer:
[tex]9\pi[/tex], which is approximately [tex]28.26[/tex].
Step-by-step explanation:
Consider two sectors in the same circle. The area of the two sectors is proportional to their central angles. In other words, if the central angle is [tex]\theta_1[/tex] for the first sector in this circle, and [tex]\theta_2[/tex] for the second, then:
[tex]\displaystyle \frac{\text{Area of Sector 1}}{\text{Area of Sector 2}} = \frac{\theta_1}{\theta_2}[/tex].
In this question, think about the whole circle as a sector. The central angle of this "sector" would be [tex]360^\circ[/tex] (a full circle.) Compare the area of this circle to that of the [tex]60^\circ[/tex]-sector in this circle:
[tex]\displaystyle \frac{\text{Area of Circle}}{\text{Area of $60^\circ$-Sector}} = \frac{360^\circ}{60^\circ} = 6[/tex].
In other words, the area of this circle is six times that of the [tex]60^\circ[/tex]-sector in it.
The area of that [tex]60^\circ[/tex]-sector is [tex]\displaystyle \frac{3}{2}\pi[/tex]. Therefore, the area of this full circle will be [tex]\displaystyle 6 \times \frac{3}{2}\pi = 9\pi \approx 28.26[/tex].
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an any quality for the temperature during the winter day. What constant should Digby use in the inequality?
Answer:
8
Step-by-step explanation:
y < mx+c
here y will be the temperature on any particular winter day, x will be the variable on whixh temperature is dependent and m will be the gradient.
The temperature must always be less than 8 so c will be 8.
y < 8
8 should be the maximum value of the inequaltiy
Answer:
your anwser is 8
Step-by-step explanation:
A person invests 6500 dollars in a bank. The bank pays 5.5% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 9300 dollars?
Answer:
6.5 years
Step-by-step explanation:
Solve the equation.
-9x + 1 = -x + 17
X=-8
O X=-2
X = 2
X = 8
Answer:
-9x + x = 17 – 1
8x = 16
X = 16/8
X=2
There are 128 competitors in a tennis tournament. If Milo places in the 85th percentile, how many people
placed above him in the final rankings?
A)109
B)21
C)103
D)19
Please I need help with this one
Answer:
$0.60
Step-by-step explanation:
PLEASE HELP ME! Awarding brainliest!!
Pythagorean theorem.
Answer:
116.6
Step-by-step explanation:
100^2 + 60^2 = c^2
1360 = c^2
square root of 1360 is 116.6
Answer:
Shortcut = 116.62
Step-by-step explanation:
Hypotenuse = [tex]\sqrt{a^{2} +b^{2} } = \sqrt{60^{2} +100^{2} } = 116.61904 = 116.62[/tex]
Sarah and Riley are going to make 2 batches of muffins. The smaller batch is 23the size of the larger batch. The recipe for the larger batch requires 35 cup of milk. How much milk will they need to make the smaller batch?
Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, r? Use 3.14 for . Round to the nearest inch.
a
38 inches
b
24 inches
c
12 inches
d
46 inches
Answer:
C 12 inches
Step-by-step explanation:
you get the circumference formula C = 2 *pi *r
then divide 2 from 75 and then pi and then you get your radius
i hope this helped<3
Step-by-step explanation:
a 38 inches
The radius is half of the circumference.
Now lets figure out what we know.
1.Our circumference is 75 inches
We would have to divide 75 by two to get it in half.
75÷2=37.5
Now we round to the nearest inch.
And our answer is 38 inches (A)
What is the value of x in the equation: 0.7x - 1.4 = -3.5?
A. -7
B. -3
C. 3
D. 7
Answer:
B). -3
add the -1.4 to-3.5 then divide the solution
Answer:
It's B. -3 (please mark as brainliest)
Step-by-step explanation:
0.7x−1.4=−3.5
Step 1: Add 1.4 to both sides.
0.7x−1.4+1.4=−3.5+1.4
0.7x=−2.1
Step 2: Divide both sides by 0.7.
0.7x
0.7
=
−2.1
0.7
So it's x=−3
If 0≤θ≤90 and sin(θ) = p, then which of the following gives the value of tan(θ)?
1)p/1-p
2)(√ 1-p^2)/p
3)p/(√ 1-p^2)
4)√1-p^2
Answer:
p/√(1-p^2)
Step-by-step explanation:
Firstly we can write our sin (θ) = p/1
Mathematically, the sine of an angle refers to the ratio of the opposite to that of the hypotenuse. Hence we can say that p is the opposite while 1 is the hypotenuse of the right-angled triangle.
Now to get the third side of the right angled triangle, we use the pythagoras’ theorem. This states that the square of the hypotenuse equals the addition of the squares of the other two sides of the right angled triangle. Thus, mathematically:
1^2 = p^2 + adjacent^2
Adjacent^2 = 1 - p^2
Adjacent = √(1-p^2)
The tan of an angle refers to the ratio of the opposite to the adjacent.
Thus, our tan here will be p/√(1-p^2)
Tan θ = p/√(1-p^2)
Answer:
3)p/(√ 1-p^2)
Step-by-step explanation:
In trigonometry, the three fundamental or basic functions are represented by the notation SOH CAH TOA where
SOH
Sin θ = opposite/hypotenuse
Cos θ = Adjacent / hypotenuse
Tan θ = Opposite / Adjacent
And from Pythagoras theorem,
Opposite ² + Adjacent ² = Hypotenuse²
Hence if Sin θ = p/1, the opposite side is p, the hypotenuse side is 1 then
the adjacent side from the equation above
Adjacent side² = 1 - p²
Adjacent side = √(1 - p²)
Tan θ = p/√(1 - p²)
The price of one share of a company declined $3.50 per day for 4 days in a row. What is the overall change in the price of one share? You may find using a number line to be helpful.
The overall change in the price of one share is
dollars.
If X - 14 = 465, what is the value of X?
Answer: The value of x is 479
Step-by-step explanation:
x -14 = 465
+14 +14
x= 479
Answer:
x=479
Step-by-step explanation:
x-14=465 Move constant to the right-hand side and change its sign
x=465+14 add the numbers
x=479
HOPE THIS HELPS :)
how do you write a ratio?
Answer:
number : number
Step-by-step explanation:
for example, 1:3
this means 1 to 3
so for every 1 banana there are 3 apples
solve. -7 2/3+(-5 1/2)+8 3/4
Answer:
I'm pretty sure it's 21 11/12. Don't get mad if I'm wrong
Step-by-step explanation:
-7 2/3 - 5 1/2 + 8 3/4
= -7 8/12 - 5 6/12 + 8 9/12
12 14/12 + 8 9/12
20 23/12
= 21 11/12
Squaring both sides of an equation is irreversible. Is Cubing both sides of an equation reversible? Provide numerical examples to help support your answer.
Answer:
Cubing both sides of an equation is reversible.Step-by-step explanation:
Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.
In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example
[tex]\sqrt[3]{x} =-1[/tex]
We cube both sides
[tex](\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1[/tex]
If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side
[tex]\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1[/tex]
There you have it, cubing both sides of an equation is reversible.
Pythagorean theorem :
There’s no diagram or anything. You can just make a triangle ? :)
Looking for A
A= ?
The area of a triangle is 16 units square. The length is twice the height. Find the height
The formula for area of a triangle is 1/2 x base x height.
Let the height = x
Then the base (length) = 2x ( twice the height)
You know have 16 = 1/2 * 2x * x
Multiply both sides by 2 to remove the 1/2:
32 = 2x * x
Simplify the right side:
32 = 2x^2
Divide both sides by 2:
16 = x^2
Take the square root of both sides:
X = 4
The height is 4 units and the length is 8 Units
If two pieces of fruit are randomly picked out of a covered basket with 5 apples and 3 oranges, what is the probability that the two pieces of fruit are oranges?
Answer:
i would say 3/8 if thats an option
Step-by-step explanation:
Probability helps us to know the chances of an event occurring. The probability that the two pieces of fruit are oranges is 3/28.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that the two pieces of fruit are randomly picked out of a covered basket with 5 apples and 3 oranges. Therefore, the probability that the two pieces of fruit are oranges is,
Probability = (3/8) × (2/7) = 6/56 = 3/28
Hence, the probability that the two pieces of fruit are oranges is 3/28.
Learn more about Probability:
https://brainly.com/question/795909
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Can I please have help?
Answer:
.25 fraction form
Step-by-step explanation:
118th pie ft3
The missing dimension of the cone given is h = 3/2 feet.
Given a cone.
It is required to find the missing dimension of the cone.
It is given that:
Diameter of the base of the cone = 2/3 feet
The diameter is twice the length of the radius.
So, the radius of the base of the cone = (2/3) / 2 = 1/3 feet
Here the height of the cone is the missing dimension.
Given the volume of the cone = 1/18 π ft³
The formula to find the volume of the cone is:
V = 1/3 πr²h
Here r is the radius and h i the height.
Substitute the given values.
1/3 π(1/3)²h = 1/18 π
1/27 h = 1/18
h = 27/18 = 3/2 feet
Hence the height is 3/2 feet.
Learn more about Volume here :
https://brainly.com/question/29767724
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Write the equation of the circle graphed below.
Answer:
The equation of the circle is [tex]{ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 = \frac{ 25 }{ 4 } }[/tex].
Step-by-step explanation:
This is the general standard equation for the circle centered at (h, k) with radius r.
[tex](x-h)^2+(y-k)^2=r^2[/tex]
From the graph we know that the center, the red point, is (1, 2) and the circle pass through the point (2.5, 4) the blue point.
To find the standard equation of the circle you must:
Step 1: Find circle radius.
To find a radius of a circle we will compute the distance between points [tex]C=(1, 2)[/tex] and [tex]P=(2.5, 4)={ \left( \frac{ 5 }{ 2 } , 4 \right) }[/tex]. The distance can be computed by using formula:
[tex]r = \sqrt{ \left(C_x - P_x\right)^2 + \left(C_y - P_y\right)^2 }\\\\r = \sqrt{ \left(1 - \frac{5}{2} )^2 + \left(2 - 4)^2 }[/tex]
[tex]r=\sqrt{\frac{3^2}{2^2}+2^2}=\sqrt{\frac{9}{4}+4}=\sqrt{\frac{25}{4}}=\frac{5}{2}[/tex]
Step 2: Substitute the values of the radius and the center into the general standard equation for the circle.
[tex]\begin{aligned} \left(x - 1 \right)^2 + \left(y - 2 \right)^2 &= \left(\frac{ 5 }{ 2 }\right)^2 \\ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 &= \frac{ 25 }{ 4 } \end{aligned}[/tex]
does anyone know the answer to this please ?
Answer:
I think it's the first one.
what is the slope of the line that passes through the points (-4,-4) and (-4,-9)? Write your answer in simplest form
Answer:
undefined
Step-by-step explanation:
We can find the slope of a line using two points by
m = (y2-y1)/(x2-x1)
= (-9- -4)/(-4 - -4)
= (-9+4)/(-4+4)
= -5/0
When we divide by zero, our solutions is undefined
The slope is undefined
I'm a bit stuck, well uhhh you'll see. Please help!! is she 25 or 26 ? ? ?
Answer:
25 years old
Step-by-step explanation:
19+3=22
19+6=25
19+25+22=66
she is 25 years old
1) Andy worked 17 hours one week. He earned $225.25. How much was he paid per hour?
Answer:
Andy makes $13.25 per hour
Step-by-step explanation:
Take the total amount and divide by the hours worked
225.25/17
13.25
Andy makes 13.25 per hour
Answer:
13.25 an hour
Step-by-step explanation:
225.25 divided by 17 = 13.25
Kono Dio Da!!!!
what is the equation of the circle with center (5,-4) and containing the points (5,-2)
Answer:
The equation of a circle is [tex](x-5)^2+(y+4)^2=4[/tex] .
Step-by-step explanation:
-The equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] (where center is [tex](h,k)[/tex], the point [tex](x_{1},y_{1})[/tex] and the radius known as [tex]r[/tex]).
-Use the center (5,-4) and the point (5,-2) for the equation:
[tex](5-5)^2+(-2+4)^2=r^2[/tex]
-Solve the equation:
[tex](5-5)^2+(-2+4)^2=r^2[/tex]
[tex]0 + (-2)^2=r^2[/tex]
[tex]4 = r^2[/tex]
[tex]\sqrt{4} = \sqrt{r^2}[/tex]
[tex]2 = r[/tex]
-After you found the radius, use the center (5, -4) and radius 2 to get the equation of a circle:
[tex](x-5)^2+(y+4)^2=2^2[/tex]
-Then, after you have the equation, the radius needs to simplified by the exponent:
[tex](x-5)^2+(y+4)^2=4[/tex]
Ronny is selling coffee mugs for $3.00. So far, he has earned $228.00. Ronny needs to earn more than $372.00 in order to meet his sales goal. How many more coffee mugs, x, does Ronny need to sell in order to reach his sales goal?
Answer:
He needs to sell at least 49 mugs.
Step-by-step explanation:
Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.
Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:
→ 3x > 144, x represents the number of coffee mugs
→ x > 48
→ x must be at least 49
The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?
Answer:
8.06/65
Step-by-step explanation:
4^2+7^2=8.06^2
16+49=65
Answer:
square root of 65
Step-by-step explanation:
4^2 + 7^2 = x^2
16+ 49= x^2
x^2 = 65
x= sqrt 65
Tanya has 32 meters of fence to enclose around three sides of her garden. What are the dimensions and the area of the largest rectangular garden that Tanya can create in the manner?
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image for the step by step explanation of the answer to the question
Need the answer to this equation
.3a + .8 = .5a - 2
Answer:
14
Step-by-step explanation:
.3a+.8=.5a-2
Subtract. 3a from both sides:
.8=.2a -2
Add 2 to both sides:
2.8=.2a
Multiply both sides by 5:
a=14
Hope this helps!
Answer:
a = 14
Step-by-step explanation:
.3a + .8 = .5a - 2
.3a - .5a = -2 - .8
-.2a = -2.8
a = -2.8/-.2
a = 14
