Answer:
the length of ac is 16.
Step-by-step explanation:
Given;
A is right angle, = 90⁰
B is 30⁰
ab = 16√3
C
↓
↑
A → ← B
If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.
The length of ac is calculated as follows;
[tex]tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16[/tex]
Therefore, the length of ac is 16.
What is the entire range of this graph ??
Answer:
-3,1
The first option is correct.
Step-by-step explanation:
Have a great day!
8 cubes are used to build a 2 by 2 Cube. How many cubes needed to build a cube that has three cubes along each edge?
Answer:
The number cubes needed when we have three cubes along each edge is 27 cubes
Step-by-step explanation:
The given parameters for the building of a cubic prism are;
The number of cubes used to build the 2 by 2 cube = 8 cubes
Let 'x' represent the length of each cube, we have;
The volume of a 2 by 2 cube = 2·x × 2·x × 2·x = 8·x³
Where x³ represents the volume of each cube
When we have three cubes along each edge, the total volume, becomes;
V = 3·x × 3·x × 3·x = 27·x³
The number cubes needed when we have three cubes along each edge, n = (The total volume of the cubes)/(The volume of each cube)
∴ The number cubes needed when we have three cubes along each edge, n = 27·x³/(x³/cube) = 27 cubes.
Jeanie bought a book for $8.98, a pen for $3.27 and a ruler for $1.50. if the sales tax on each of the items is 8%, what is the total amount Jenny must pay for the items including tax?
Answer:
$14.85
Step-by-step explanation:
8.98 + 3.27 + 1.5 = 13.75
13.75 x .08 = 1.1
13.75 + 1.1 = 14.85
Answer:
$14.85
Step-by-step explanation:
8.98 x.08= 0.7184
3.27 x .08= 0.2616
1.50 x .08= 0.12
8.98 + 0.72= 9.70
3.27 + .26= 3.53
1.50 + 12 =1.62
9.70+ 3.53 +1.62 = 14.85
Find X.
Someone please help me lol !
Answer:
x = 9
Step-by-step explanation:
Formula
The secant and tangent lines bear the following relationship
(tangent line )^2 = the outside secant line * length of the whole line
Givens
tangent line = 15
outside secant line = x
length of whole secant line = x + 16
Solution
15^2 = x ( x + 16)
15^2 = x^2 + 16x
225 = x^2 + 16x
x^2 + 16x - 225 = 0
Answer and Discussion
The equation has two factors.
(x - 9)(x + 25) =0
x + 25 has no meaning. There cannot be a negative length in this level of geometry.
The answer is x - 9 = 0
x = 9
I need help!! asap angles
Answer:
i do not know
Step-by-step explanation:
ummmmmmmmm x = well you see you have to solve for x mmmmmm hhhhhhmmmmm yup
I hope the answer is helpful
Determine the value of A
Find the volume, in cubic inches, of a right rectangular prism with the measurements below. Length: 3/2" Width: 5/2" Height: 4
Answer:
Step-by-step explanation:
The volume of a rectangular prism can be calculated by multiplying the area of its base by its height.
Mathematically, we have
The volume of prism = base area X height
At this point, it is important to note that a rectangular prism is a solid shape that has its base as a rectangle; so the area of its base, is the same thing as the area of a rectangle.
Where base area = length X breadth
hence, volume = length X breadth X height
volume = 3/2 X 5/2 X 4 = 15 cubic inches
Let x and y be inversely related. If x is 5 when y
is 6, find y when x is 3.
Answer:
y=10
Step-by-step explanation:
x=k/y
constant of proportionality
k=xy
k=5*6
k=30
therefore x=30/y
if x=3 y=?
y=30/3
y= 10
PLEASE HELP I don't understand this stuff yet. Brainliest give away!
Answer: I think the answer is B
Step-by-step explanation: My reasoning is that since some houses are expensive, and some houses are very cheap, the average house is in the middle, and that is the median.
Answer:
c bc he should use the median cause it is in the affect the mean
Step-by-step explanation:
Please help will give brainliest
9514 1404 393
Answer:
24π cm²
Step-by-step explanation:
The radius and height of the cone are shown as 3 and 4, so we know the slant height is 5 (a 3-4-5 right triangle is formed by these dimensions). Then the total surface area of the cone is ...
A = πr² + πrl = πr(r +l)
A = π(3 cm)(3 cm +5 cm) = 24π cm² . . . . total area of the cone
_____
Additional comment
The (3, 4, 5) Pythagorean triple is one of several involving small integers that regularly appear in math problems. It is worth remembering. In case you need convincing:
3² + 4² = 5² . . . . sum of squares of sides is square of hypotenuse
9 + 16 = 25
On Monday, 6 out of 10 people who entered the store purchased something. If 1,000 people entered the store on Monday how many people purchased something?
PLEASE IM IN CLASS RIGHT NOWWW
Answer:
600
Step-by-step explanation:
Hope this helps you bro.
We can set this up as a proportion.
[tex]\frac{6}{10}=\frac{x}{1000}[/tex] so 10x=6000 and x=600.
600 out of the 1000 people who went into the store, bought something.
Sam kicks a ball from the ground with a starting velocity of 32 feet per second. The ball soars into the air, arcs down with parabolic motion, and lands back on the ground. Write an equation to describe the height of the ball as a function of time, using h(t)=-16t^2+vt+s. PLS HELP!!!!!!
Answer:
The function that describes the height of the ball in time is [tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex].
Step-by-step explanation:
Let suppose that ball experiments a free fall motion, which means that the ball is accelerated because of gravity and gravitational acceleration can be considered constant since height reached by the object is too small in comparison with the radius of the Earth. Therefore, we can assume that ball is accelerated uniformly.
Hence, the kinematic formula for the height of the ball ([tex]h(t)[/tex]), in feet, is described below:
[tex]h(t) = s + v\cdot t + \frac{1}{2}\cdot g \cdot t^{2}[/tex] (1)
Where:
[tex]s[/tex] - Initial height with respect to the ground, in feet.
[tex]v[/tex] - Initial velocity, in feet per second.
[tex]t[/tex] - Time, in seconds.
[tex]g[/tex] - Gravitational acceleration, in feet per square second.
If we know that [tex]s = 0\,ft[/tex], [tex]v = 32\,\frac{ft}{s^{2}}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the function that describes the height of the ball in time is:
[tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex] (2)
Find (a) the circumference and (b) the area of the circle. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest whole number, if necessary.
Evaluating Expressions
Use the order of operations to help you solve,
56 49X2
100 + 5*4
8 X 12 - 6
PLS HELP ASAP
Answer:
1. something's missing
2. 120
3. 90
Step-by-step explanation:
Order of operations is: PEMDAS = parentheses, exponents, multiplication, division, addition, subtraction
1. Missing something in this first one
56 ?? 49 x 2
2. 100 + 5 x 4
first multiply:
= 100 + 20
then add:
=120
3. 8 x 12 - 6
first multiply:
= 96 - 6
then subtract:
= 90
Drop the full equation for number 1 in the comments and I'll walk you through it. :)
Answer:
90: D
Step-by-step explanation:
help plz will mark brainliest!!!!
Answer:
Y= -4.5
Step-by-step explanation:
Hope this helps!
Answer:
y = -4.5
Step-by-step explanation:
6(y + 1.5) = -18
6y + 9 = -18
subtract 9 from each side of the equation:
6y = - 27
divide both sides by 6:
y = -4.5
Find the axis of symmetry of the following parabola algebraically Y=-x^2+14x-41 I only have one more attempt left to get this question right can someone please help and explain also? And can this be done ASAP Thank you:)(No links or I will report)
Simplify 16x^7 y^4z/8x^4 y^3 z^3
If all the angles are equivalent (the same), the angles must each be 60 degrees because 60 times 3 angles equals 180.
A. True
B. False
Answer: A
Step-by-step explanation: true true true
What is the value of the expression (36 1/2)² ?
Answer:
1332 1/4
Step-by-step explanation:
(36 1/2)² = (73/2)² = (73 * 73)/(2 * 2) = 5329/4 = 1332 1/4
Please answer correctly! I will Mark you as Brainliest!
Answer:
the answer is 40.5!
Step-by-step explanation:
First, you have to add all of the numbers up!
4y+ 3x= 20
is this simplified properly?
Thank you :)
Answer:
Is correct , like A= 4 B=3 C=20
Find the length x.
х
14 cm
70°
Answer:
14.90cm [a]
Step-by-step explanation:
To find x, we will apply " sine rule"
that is, [tex]sin[/tex]A/a=[tex]sin[/tex]B/b
here a= x A=90° B=70°anb b =14cm
so we input the values we have
1/x =0.94/14
cross multiply,
0.94x = 14
x = 14/0.94
=14.90cm
Which expression is equivalent to: 4x - 2 + 6x
a- 10x - 2
b- 2x - 2
C- - 2x - 2
d- 24x - 2
Answer:
a. 10x - 2
Step-by-step explanation:
4x - 2 +6x ( collect like terms )
4x +6x - 2
10x - 2
Written as a simplified polynomial in standard form, what is the result when
(x + 2)^2 is subtracted from 7x+10
Step-by-step explanation:
7x+10 - (x+2)^2
7x+10 - (x^2 + 2x + 4)
7x+ 10 - x^2 - 2x - 4
5x + 6 - x^2
then if u have to find the value of x then put the value of a = 1,b = 5,c = 6 in quadratic formula (-b + under root b^2 - 4ac / 2a) or (- b - under root b^2 - 4ac / 2a) it will gives the value of x...
HOPE it u..!!
edit - do let me knw that it's right or not..!!
Find the solution of the system of equations.
10x – 2y = 18
-10x + 9y = -46
Answer:
x=1, y=-4. (1, -4).
Step-by-step explanation:
10x-2y=18
-10x+9y=-46
------------------
7y=-28
y=-28/7
y=-4
10x-2(-4)=18
10x+8=18
10x=18-8
10x=10
x=10/10
x=1
please halp!!!!!!!!!!!!!!
Answer:
132 degrees
Step-by-step explanation:
360 - 65 - 86 -77
Can someone please help?
Answer:
1: The highest score is 98, the lowest score is 74.
2: 55% of the scores are greater than 84
Step-by-step explanation:
Solution 1-1:
Starting from the top left and going from left to right row by row we compare the largest number we come across with the current number we are inspecting.
Starting with 92 then we look at 88, 92 is greater than 88 so we keep 92, next is 95, 95 is greater than 92 so we keep 95, next is 74, 95 is greater than 74 so we keep 95 and so on until we have compared all of the numbers. We are left with 98
Solution 1-2:
Using a similar method to finding the greatest number we go through the list of numbers in search of the smallest number. Starting with 92 we then look at 88, 88 is less than 92 so we keep 88. Next is 95, 88 is less than 95 so we keep 88. Then 74, 74 is less than 88 so we keep 74 and so on. We are left with 74
Solution 2:
There is a total of 20 numbers in the table. By comparing the numbers in the table to 84, we can determine that 11 numbers are greater than 84.
By dividing 11 by 20 we get 0.55 which is equal to 55%
7th grade math help me pleaseee
Answer:
14x + 6
step by step explanation:
For her science project, jada wants to build a rectangular prism out of foam block. The block should have a volume of 350 in.³ and a height of 5 inches. Part A What tool can help Jada find possible dimensions for the base of the block Explain. Part B Give one pair of possible whole number dimensions for the base
Answer:
10 in * 7in
Step-by-step explanation:
Given that :
Volume of block = 350 in³
Height of block = 5 inches
The dimension of block can be expressed cubic units
Volume of a rectangular prism :
V = length * width * height
Let ; length * width = B
350 = B * 5
B = 350 / 5
B = 70 in²
Possible dimension of B:
B = length *width
70 in² = 10 in * 7in
Hence, possible whole number dimension for the base = 10 in * 7in
Answer:
it would be 7 x 10 , 1 x 70 , 2 x 35
Step-by-step explanation:
Malik bought a pack of erasers for $3.50 and some pencils for $0.99 each. He paid a total of $10.43. Which equation can be used to find the number of pencils Andrew bought? \
Answer:
The equation that can be used to find the number of pencils Andrew bought is:
x=(c-3.50)/0.99
Step-by-step explanation:
With the information provided, you can say that the total amount paid would be equal to the price of the pack of erasers plus the price per pencil for the number of pencils purchased, which can be expressed as:
c=3.50+0.99x, where:
c is the total cost
x is he number of pencils purchased
Now, you can solve for x in order to find the equation to calculate the number of pencils Andrew bought:
c-3.50=0.99x
x=(c-3.50)/0.99
According to this, the answer is that the equation that can be used to find the number of pencils Andrew bought is:
x=(c-3.50)/0.99