The inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.
Perimeter of a triangleThe perimeter of a triangle is the sum of the whole three sides.
Therefore, the perimeter of the triangle can be found by adding the whole sides of the triangle.
The remaining sides of the triangle can be found using Pythagoras theorem.
c² = a² + b²
where
a and b are the legsc = hypotenuseTherefore,
a² = 13² - 5²
a² = 169 - 25
a = √144
a = 12 inches
Therefore,
b² = 15² - 12²
b² = 225 - 144
b = √81
b = 9 inches
Therefore,
perimeter = 13 + 15 + 5 + 9 = 42 inches
Therefore, the inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.
learn more on perimeter here: https://brainly.com/question/16096915
The students in Herman's grade voted to select a guest speaker. 435 students voted for a famous athlete. The other 65 students in Herman's grade voted for a famous actor. What percentage of the students voted for the athlete?
Answer:
87%
Step-by-step explanation:
435 students who voted for athlete 87
___________________________ = ____ or 87%
500 total students 100
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution :
[tex]\qquad \sf \dashrightarrow \:(2 {x}^{2} + 5x - 7) + (3 - 4 {x}^{2} + 6x)[/tex]
[tex]\qquad \sf \dashrightarrow \: 2{x}^{2} + 5x - 7 + 3 - 4 {x}^{2} + 6x[/tex]
[tex]\qquad \sf \dashrightarrow \:2 {x}^{2} - 4 {x}^{2} + 5x + 6x - 7 + 3[/tex]
[tex]\qquad \sf \dashrightarrow \: - 2 {x}^{2} + 11x - 4[/tex]
Can someone help me?
Answer:
70x+91
Step-by-step explanation:
Answer:
161
Step-by-step explanation:
Break it into separate parts based on order of operations:
[(3 x (2^5)) + (13 x (-2))] + 7[8 - (4 - 9)] then simplify:
3 x 32 + (-26) + 7[8 + 5]
96 - 26 + 7(13)
70 + 91
161
Please help pleeaassee!! >_<.
Answer:
Slope intercept form does not dictate whether or not a function is linear. What determines if a function is linear is if there is one independent variable, one dependent variable, and it makes a STRAIGHT line. This function is linear because there are only 2 variables and a horizontal line.
Levi could have determined that the graph was linear by checking the conditions stated above or graphing it out. Then, he would see that y = 2 is a straight horizontal line with an independent and dependent variable.
Hope this helps!
HURRY!!!! I ONLY HAVE 1 MIN!!!!!!
A rectangular prism is 3 meters long, 5 meters wide, and has a height of 10 meters. What is its surface area?
100 m 2
50 m 2
190 m 2
95 m 2
Answer:
190 cm^2
Step-by-step explanation:
Top and Bottom = 2(3*10)=60cm
Sides = 2(5*10)=100
Front and Back =2(3*5)=30
total = 190
Answer:
mew
Step-by-step explanation:
The pilot of a small plane is flying at an altitude of 2000 ft- The pilor plans to start the final descent toward a runway when the horizontal distance between the plane and the runway is ? mi. To the nearest degree what will be the angle of depression 19 from the plane to the runw'y at this point?
Using the slope concept, supposing the horizontal distance is of 1500 feet, the angle of depression will be of 37º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we suppose an horizontal distance of 1500 feet, with a vertical distance of 2000 feet, hence:
[tex]\tan{\alpha} = \frac{1500}{2000}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{1500}{2000}\right)}[/tex]
[tex]\alpha = 37^\circ[/tex]
The angle of depression will be of 37º.
More can be learned about the slope concept at https://brainly.com/question/18090623
2x squared + 13x - 24 =0
Answer: (2x - 3)(x + 8)
Step-by-step explanation:
2x² + 13x - 24 = 0, where is equal ax² + bx + c = 0 form. We get a = 2, b = 13, c = -24.
When a is not equal to 1, we multiply a and c. ac = 2(-24) = -48.
b in the equations means that the sum of two factor of ac is equal to 13. Then we need to find which two factor is add up to 13. In this case, we get -3 and 16.
2x² + 13x - 24 = 0
2x² + 16x - 3x - 24 = 0
2x(x + 8) - 3(x + 8) = 0
(2x - 3)(x + 8) = 0
Answer: x = -8, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
This is a quadratic equation since it is in ax² + bx + c = 0 form! We will use the formula and use PEMDAS, the order of operations, while solving as well.
The quadradic formula, then plugging in to solve:
(please note before the square root is a ± sign. Brainly text editor will not allow me to add it)
[tex]x = \frac{-b\sqrt{b^{2} -4ac } }{2a}[/tex]
[tex]x = \frac{-13\sqrt{13^{2} -4(2)(-24) } }{2(2)}[/tex]
[tex]x = \frac{-13\sqrt{169 -4(2)(-24) } }{4}[/tex]
[tex]x = \frac{-13\sqrt{169 +192 } }{4}[/tex]
[tex]x = \frac{-13\sqrt{361 } }{4}[/tex]
Now it breaks into two parts:
[tex]x = \frac{-13-19}{4}[/tex] and [tex]x = \frac{-13+19}{4}[/tex]
[tex]x = \frac{-32 }{4}[/tex] [tex]x = \frac{6}{4}[/tex]
x = -8, x = [tex]\frac{3}{2}[/tex]
Word problem. Help!! Will give brainlist
Answer:
133 degrees
Step-by-step explanation:
Supplementary angles equal 180.
the 1st angle is 180, so we do:
180-47
the answer is 133
q . (a + y) = 67y + 93
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
4:1
Step-by-step explanation:
please help!! no bots!!
Find the area of this figure.
Round your answer to the
nearest hundredth. Use
3.14 to approximate TT.
A = [?] ft²
Use the triangle to evaluate each function. sin(a) = tan(a) = sec(a) =
The value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.
How do we find the sin, tan, and sec function?By right-angled triangle, we can find the trigonometric function from the sides of the triangle.
sin x = perpendicular/ hypotenuse
cos x = base/ hypotenuse
sec x = hypotenuse /base
From a triangle ABC of base 4, perpendicular 3, and hypotenuse 5, we get
sin a = perpendicular/ hypotenuse
= 3/5
cos a = base/ hypotenuse
= 4/5
sec a = hypotenuse /base
= 5/4
Hence, the value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.
Learn more about trigonometry;
https://brainly.com/question/26719838
Please help, will give 15 points!!!
A standard number cube is tossed. Find each probability.
P(even or less than 4)
Answer:
total 6
even 2, 4, 6
even or less than 4: 2, 4
p = 2/6 = 1/3
brainliest?
helpppppppppppppppppppppppppppppppppppppppppppppppppppp
Consider the quadratic equation x3 = 48-5. How many solutions does the equation have?
Answer:
you would have 84-.10 I think
Step-by-step explanation:
A window needs a piece of glass of 3m by 2m to fit into its frame. What is the total area of glass needed for 25 windows?
help!
this is urgent
i need it rn
ty in advance
Answer:
The graph shows a steady declining plot as the aveage traffic volume increases. Since y axis is speed the correct answer is that as traffic volume increases the average vehicle speed decreases.
Step-by-step explanation:
What is the gradient of the blue line
Answer:
2
Step-by-step explanation:
The graient is 2 as gradient = diffrence of y/diffrence in x
x,y
take two points 1,0 and 2,2 and put them into the equation
2-0/2-1 = 2
Answer:
slope = 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line
m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2
What is 2 7/10+4 1/10 in simplest form
Answer:
[tex]6\frac{4}{5}[/tex]
Step-by-step explanation:
[tex]2\frac{7}{10}[/tex] + [tex]4\frac{1}{10}[/tex] = ( 2 + 4 ) + ( [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{10}[/tex] ) = 6 [tex]\frac{7+1}{10}[/tex] = 6 [tex]\frac{8}{10}[/tex] = [tex]6\frac{4}{5}[/tex]
Part A Find the distances between points P and Q and between points R and Q. Explain your answer. Refer to the number line in your interpretation. * *
The points P, Q and R are collinear points on the number line
The distance PQ is 0.6The distance QR is 0.3How to determine the distance between P and Q?From the number line we have:
P = -0.6
Q = 0
The distance is calculated as:
PQ = Q - P
This gives
PQ = 0 - -0.6
Evaluate the difference
PQ = 0.6
Hence, the distance PQ is 0.6
How to determine the distance between R and Q?From the number line we have:
R = 0.3
Q = 0
The distance is calculated as:
QR = R - Q
This gives
QR = 0.3 - 0
Evaluate the difference
QR = 0.3
Hence, the distance QR is 0.3
Read more about number lines at:
https://brainly.com/question/10851163
Answer:
The distance PQ is 0.6
The distance QR is 0.3
anyone? please answer it
Answer:
2(3-√13) is the answer
Step-by-step explanation:
Given that,
x = \frac{3 - \sqrt{13} }{2}
or, \frac{1}{x} = \frac{2}{3 - \sqrt{13} } (Taking reciprocal on both sides)
We know that,
(a + b)² = a² + b² + 2ab
or, (x \ + \frac{1} {x})^{2} = {x}^{2} + \frac{1}{x {}^{2} } + 2
or, {x}^{2} + \frac{1}{x {}^{2} } = (x \ + \frac{1}{x })^{2} - 2
Now,
or, {x}+ \frac{1}{x } = \frac{3 - \sqrt{13} }{2} + \frac{2}{3 - \sqrt{13} }
or, (3 - \sqrt{13 {})^{2} } + 4
2(3-√13) is the answer
If you didn't understand the frac etc... then I'll attach the f ans file.
Standing in your tree house, 50 feet off the ground, you look down at a 60° angle and notice a Frisbee. Approximately how many feet from the base of the tree is the Frisbee? Draw a picture to help you!
Answer:
About 29 feet.
Step-by-step explanation:
tan 60 = 50 / h
h = 50/ tan 60
= 28.87 ft
Help please… thank you!
Answer:
B
Step-by-step explanation:
5 × pi ÷12 = 75 degrees
this is essentially cos75
= cos(30 + 45)
then we use the identities to solve.
the answer will = to 0.2588
Space Shuttle Marion is observing the launch of a space
shuttle from the command center. When she first sees the
shuttle, the angle of elevation to it is 16°. Later, the angle
of elevation is 74°. If the command center is 1 mi from the
launch pad, how far did the shuttle travel while Marion was
watching? Round to the nearest tenth of a mile,
Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:
[tex]\tan{16^\circ} = \frac{1}{x_1}[/tex]
[tex]x_1 = \frac{1}{\tan{16^\circ}}[/tex]
[tex]x_1 = 3.5[/tex]
Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:
[tex]\tan{74^\circ} = \frac{1}{x_2}[/tex]
[tex]x_2 = \frac{1}{\tan{74^\circ}}[/tex]
[tex]x_2 = 0.3[/tex]
The distance is:
[tex]d = x_1 - x_2 = 3.5 - 0.3 = 3.2[/tex]
The shuttle traveled 3.2 miles while Marion was watching.
More can be learned about the slope concept at https://brainly.com/question/18090623
wats 4000 squared and 40*7
Answer:
16000280
Step-by-step explanation:
hope this helps.
Evaluate the limit. (-2)^nn/4+n
Answer:
n
(
−
2
)
n
4
+
n
Step-by-step explanation:
what is 1/4x-6=-10 please i need something by tomorrow.
Answer:
If you need what x equals its -16
x = -16
Explanation:
[tex]\rightarrow \sf \dfrac{1}{4} x - 6=-10[/tex]
collect variables
[tex]\rightarrow \sf \dfrac{1}{4} x =-10+6[/tex]
simplify
[tex]\rightarrow \sf \dfrac{1}{4} x =-4[/tex]
cross multiply
[tex]\rightarrow \sf x=-4*4[/tex]
final answer
[tex]\rightarrow \sf x=-16[/tex]
Need help with math please
Answer:
45°
Step-by-step explanation:
if angle 3 is 135 the angle 2 is 45 and angle 2 is equal to angle 4 which is 45°
4. If you are moving a 25 N weight, over a distance of 2.5 meters, how much work is being
done?
Answer:
62.5 J
Step-by-step explanation:
Formula
Work = Force x Distance (Displacement)Given :
Force = 25 NDistance = 2.5 mSolving
Work = 25 x 2.5Work = 62.5 JThe work done with the given force and distance is 62.5 Newton meter.
What is time and work?The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.
Given that, force = 25 N weight and distance = 2.5 meters
We know that, work = Force×Distance
Here, work = 25×2.5
= 62.5 Newton meter
Therefore, the work done is 62.5 Newton meter.
To learn more about the time and work visit:
https://brainly.com/question/3854047.
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26. An electronic game store is offering a 20% discount on all items in the store.
If the original price of a game is $55, how much will it cost after the discount?
Answer:
11$
Step-by-step explanation:
20% is equivalent to 0.20, so if we multiply that by 55, it will take off 20% of the price, giving us 11$.
0.20 × 55 = 11
Brainliest please?
Answer: ✨$75✨
Step-by-step explanation: ✨Well I added them I hope this helps✨