A right triangle has a 30° angle and the adjacent side to
the angle of length 6, draw the triangle and label all
sides and angles. Round to the nearest tenth.
Answer
let the triangle be supposed ABC
where angle BAC is 30 degree and angle ACB is 60 degree and where we know that angle ABC is right angled triangle which means angle ABC = 90 degree
the base side of triangle is 6cm which means ;
By taking angle A as reference angle
Hypotenuse = AC = x(let)
perpendicular = BC
base = AB = 6 cm
then by taking base and hypotenuse
b/h = AB/AC
or, cos (30 degree)= 6/ x
x =[tex]4\sqrt{x} 3[/tex] cm
that concluded that AC = [tex]4\sqrt{3}[/tex] cm
Now,
by phythagorous theorem,
[tex]h^{2} = p^{2} + b^{2}[/tex]
[tex]AC =\sqrt{AB^{2} + BC^{2} } AC = \sqrt{6^{2} + 4\sqrt{3} ^{2}} \\AC = 2\sqrt{21 } cm[/tex]
so, the length of side AB is 6 cm , BC is 4[tex]\sqrt{3}[/tex] cm and AC is 2[tex]\sqrt{21}[/tex] cm
Step-by-step explanation:
How can the next term in the infinite sequence 1, 5, 12, 22, 35, ... be generated?
A. Square the term number, subtract the tem number from the result, multiply by 3, and divide the result by 2.
B. Square the term number, multiply the result by 3. divide by 2, and subtract the term number from the result.
C. Square the term number, divide the result by 2 subtract the term number, and multiply the result by 3.
D. Square the term number, multiply the result by 3 subtract the tem number, and divide the result by 2.
Answer:
Its D
Square the term number, multiply the result by 3, subtract the term number, and divide the result by 2
Help me with this please
Answer:
21 degrees.
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
as BC ║DE ⇒ ∠CBA=∠BAD
⇒ ∠x=180-∠BAD -∠CAB
⇒ ∠x=180-105-54=21
Can anyone help find x?
Answer:
x = 112°
Step-by-step explanation:
To find the value of x, you need to understand the properties of vertical and supplementary angles and know that the sum of angles inside a triangle is 180°.
399.2 divided by 1\10 =??
Answer:
3,992
Step-by-step explanation:
1/10 = 0.1
399.2/0.1 = 3,992
Answer:
3990
Step-by-step explanation:
Place the decimal to a fraction:
399.2 = 399 2/10
Simplify = 399 1/5
Put in improper fraction = 1995/5
Simplify more = 399/1 or 399
So:
399 divided by 1/10 = 3990
Find the measure of the missing angle
Help please
Answer:
≈ 56°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin ? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{34}{41}[/tex] , then
? = [tex]sin^{-1}[/tex] ( [tex]\frac{34}{41}[/tex] ) ≈ 56° ( to the nearest degree )
Make r the subject of x=e+r/d
Answer:
r = dx - de
Step-by-step explanation:
x = e + r/d
x - e = r/d
d (x - e) = r
dx- de = r
r = dx - de
The quotient of (x4 + 5x3 – 3x – 15) and a polynomial is (x3 – 3). What is the polynomial?
x7 + 5x6 – 6x4 – 30x3 + 9x + 45
x – 5
x + 5
x7 + 5x6 + 6x4 + 30x3 + 9x + 45
Answer:
g(x) = x+5
Step-by-step explanation:
Given that,
[tex]f(x)=x^4+5x^3-3x-15[/tex]
[tex]q(x) = (x^3-3)[/tex]
We need to find the polynomial. We know that, Euclid division lemma states that
[tex]f(x)=q(x)\times g(x)+r(x)[/tex]
Where
f(x) is dividend
g(x) is the poynomial
q(x) is quotient
r(x) is remainder
So,
[tex]x^4+5x^3-3x-15=(x^3-3)\times g(x) +0\\\\g(x)=\dfrac{x^4+5x^3-3x-15}{(x^3-3)}\\\\g(x)=x+5[/tex]
So, the polynomial is (x+5).
Answer: its C
Step-by-step explanation: i just took the test
An FBI agent orders a block of ballistics gel. The gel weighs 54 pounds per cubic foot. What is the weight of the block of gel?
Answer:
22.5 pounds
Step-by-step explanation:
The computation of the weight of the block of gel is shown below:
As we know that
Volume = (length) (width) (height)
= (20) (6 ) (6)
= 720 cubic inches
Now we have to convert into cubic foot
As we know that
1 ft = 12 inches
So 1ft^3 = 12 inches^3
= 1728 inches ^3
Now
= 720 × 1 cubic foot ÷ 1728 cubic inches
= 5 ÷ 12
Now the weight is
= 54 × 5 ÷ 12
= 22.5 pounds
Which exponential equation is equivalent to the logarithmic equation below?
log 300 = a
A. 3000 = 10
B. a10 = 300
C. 100 = 300
D. 30010 = a
Answer:
[tex]\implies\boxed{ 10^a = 300 }[/tex]
Step-by-step explanation:
We are provided logarithmic equation , which is ,
[tex]\implies log_{10}^{300}= a [/tex]
Here we took the base as 10 , since nothing is mentioned about that in Question .Say if we have a expoteintial equation ,
[tex]\implies a^m = n [/tex]
In logarithmic form it is ,
[tex]\implies log_a^n = m [/tex]
Similarly our required answer will be ,
[tex]\implies\boxed{ 10^a = 300 }[/tex]
What is the area of the base?
A rectangle has a width of 3 cam and a length of 9cm. the rectangle is to be enlarged by a scale factor of 8 what is the length of the enlargement. (include units)
Answer:
72 cm
Step-by-step explanation:
It would be multiplied by 8 so the length would become 72 cm
Compare the two functions below in two complete sentences.
Help
Answer:
I guess we have the table:
x f(x)
-4 7
-2 5
0 3
2 1
4 - 1
To find the slope of this, we need to select two different points (x1, y1) and (x2, y2) and use the relation:
slope = (y2 - y1)/(x2 - x1)
let´s use the first two:
(-4,7) and (-2, 5)
Slope = (5 - 7)/(-2 - (-4)) = -2/2 = -1
Now, if we want to be sure that this is a linear equation, we should do the same for other two pairs of points, now use the first and the third:
(-4, 7) and (0,3)
S = (3 - 7)/(0 -(-4)) = -4/4 = -1
Now, for the function g(x) we can see a constant line, that is parallel to the x-axis.
This means that the slope of this function is equal to zero.
This means that the slope of g(x) is bigger than the slope of f(x), because 0 > 1 i guess
I need this answer I’ll give brainliest
Determine the range of the function [tex]\displaystyle f(x)=a\sqrt[3]{bx-c}+d[/tex].
Hi there!
[tex]\large\boxed{(-\infty, \infty)}}[/tex]
We are given the function:
[tex]f(x) = a\sqrt[3]{bx-c}+d[/tex]
This is the transformation form of a cubic root function. Recall these properties of cubic root functions:
Domain: -∞ < x < ∞ (all real numbers)
Range: -∞ < x < ∞ (all real numbers)
Therefore, the range of the given function is all real numbers, or on (-∞, ∞).
WILL GIVE BRAINLIEST!!! If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure?
The surface area of the figure is 204 sq.unit.
What is Surface Area ?The surface area of a three dimensional figure is the sum of area of all its faces.
Here a three dimensional figure is given and surface area has to be calculated.
The base is a cuboid
Surface Area of a cuboid = SA= 2lw+2lh+2hw
SA = 2 * 6 * 6 +2 * 6 * 3 + 2 * 6 * 3
SA = 144 sq.units
The Surface Area of the 4 triangle surface = 4 * (1/2) * base * height
SA = 2 * 6 * 5 = 60 sq.units
The total surface area = 144 +60 = 204 sq.units
Therefore the surface area of the figure is 204 sq.unit.
To know more about Surface Area
https://brainly.com/question/2835293
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Reflex angle of 95 degrees
Step-by-step explanation:
a a reflex angle is more than 180° but less than 360° so in this case the reference angle of 95 degrees we are going to take 360° - 95 degrees to get255°
Plz help! Due tonight!
During halftime of a football game, a slingshot launches T-shirts at the crowd. A T-shirt is launched from a height of 4 feet with an initial upward velocity of 80 feet per second. The T-shirt is caught 41 feet above the field. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is the range of the function that models the height of the T-shirt over time?
Ahh i hate math fr someone help
Jenica bowls three games and scores an average of 116 points per game. She scores 105 on her first game and 128 on her second game. What does she need to score on her third game to get a mean score of 116?
Answer:
115 points on her third game.
Step-by-step explanation:
To find the answer add the first and second games together.
128 + 105 = 233 ÷ 2 = 116.5 (then divide by two because there is two games).
This is the average of two games. To find the average of THREE games try different numbers to see which number works.
233 + 110 = 343 ÷ 3 = 114.3
(so we have to try a higher number than 110).
233 + 112 = 345 ÷ 3 = 115 on average (still not enough).
233 + 115 = 348 ÷ 3 = 116. (we found the answer!)
233 + 115 = 348 ÷ 3 = 116
Need to know if this is write. if not, please correct.
Classify each pair of angles listed below as adjacent or vertical.
how do you find the radius when given the volume and height?
Answer:
Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume. SOO just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet. You can also use the circumference and radius equation.
Step-by-step explanation:
brainliest?
Please answer quickly!!
Which set of data is represented by the box plot?
Answer:
C?
Step-by-step explanation:
Please help me if you want brianleist! :(
Answer:
2ft
Step-by-step explanation:
16^3 ft
4 * 2=8
16/8 =2
Answer:
2 ft
Step-by-step explanation:
V = lwh
16 = 4(2)w
16 = 8w
w = 2 ft
Mother put 22 apples in each basket. How many baskets did she use for 390 apples?
Answer:
To find the no. of baskets used to put 390 apples we have to divide 390/22 which is 17.7272727273,
so to put 390 apples we need approximately 18 baskets.
hope this answer helps you...
Nicole wants to rent a boat and spend less than $33. The boat costs $6 per hour , and Nicole has a discount coupon for $9 off. What is the answer in inequality
Answer: Nicole can spend up to 7 hours in the boat.
Step-by-step explanation:
Based on the information given in the question, the possible number of hours that can be used will be calculated as thus:
(6 × t) - 9 ≤ 33
6t - 9 ≤ 33
Collect like terms
6t ≤ 33 + 9
6t ≤ 42
Divide both side by the coefficient of t
6t/6 ≤ 42/6
t ≤ 7
Nicole can spend up to 7 hours in the boat.
write the answer in the simplest radical form
[tex] \sqrt{56} [/tex]
Ms. Clark spent $89.85 on sewing kits that cost $5 each plus $4.85 tax on the total bill. How many kits did she buy?
The sewing kits bought by Ms, Clark is 17 in number.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
As given in the question, Ms. Clark spent $89.85 on sewing kits that cost $5 each plus $4.85 tax on the total bill.
Let the number of sewing kits be x,
According to the question,
5x + 4.85 = 89.85
5x = 89.85 - 4.85
5x = 85
x = 17
Thus, the sewing kits bought by Ms, Clark is 17 in number.
Learn more about models here: https://brainly.com/question/22591166
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The Martins’ van can hold up to 8 passengers. Debbie writes the inequality p < 8, where p is the number of passengers that can fit in the van. Select the choice that provides the best explanation for Debbie’s error and the correct answer in this case. Debbie should have used 8p because 8 passengers can fit in the van. The correct inequality is 8p < 1. Debbie should have switched the inequality symbol to greater than. The correct inequality is p > 8. Debbie should have included 8 as a possible choice. The correct inequality is p < 9. Debbie should have used the not equals sign to compare the two sides of the inequality. The correct answer is p ≠ 8.
Answer:
Debbie should have included 8 as a possible choice. The correct inequality is p < 9.
Step-by-step explanation:
Given
Passengers = Up to 8
Required
Determine why [tex]p < 8[/tex] is incorrect and make corrections
The inequality [tex]p < 8[/tex] means that the van can hold less than 8 passengers.
To make correction, the digit 8 has to be included in the inequality.
This can be written as:
[tex]p <9[/tex] or[tex]p \le 8[/tex]
Base on the given options, option (c) best answered the question.
Which comparison is not correct?
-2 > -7
1 < -9
-3 > -8
6 > 5
Answer:
1 < -9
Step-by-step explanation:
A positive number can't be less than a negative