The value of side z will be equal to 99.32 cm.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
Given that:-
In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°
So by applying the formula given below:-
z² = x² + y² - 2xyCos(142)
z² = 79² + 27² - 2 ( 79 x 27 x Cos142 )
z = 99.32 cm
Hence the value of side z will be equal to 99.32 cm.
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Find the value of each variable
Answer:
x = 10[tex]\sqrt{2}[/tex] , y = 10[tex]\sqrt{6}[/tex]
Step-by-step explanation:
using the sine and cosine ratios in the right triangle and the exact values
cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 20[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 10[tex]\sqrt{2}[/tex]
and
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20\sqrt{2} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2y = 20[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = 20[tex]\sqrt{6}[/tex] ( divide both sides by 2 )
y = 10[tex]\sqrt{6}[/tex]
What is the volume of the rectangular prism?
Help for college scholarships! Must be a paragraph.
How has your family background affected the way you see the world?
Family background refers to the culture and tradition of the family into which a person is born.
What is family background?Family background refers to the culture and tradition of the family into which a person is born. it is worthy of note that most of this family traditions are unspoken yet are firmly entrenched in the psyche of individual as he/she grows.
My family is strictly conservative having had a Southern Baptist orientation. My dad believes deeply in religion and a moralist and perfectionist.
As a result of this, I find myself always grappling with the unfortunate disorder in the world; always trying to bring order to my world as much as I can.
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F(1) =3 and f (n+1)= f(n)^2+3 then find the value of f(4)
Answer:
f(4) = 1612
Step-by-step explanation:
using the recursive formula and f(1) = 3 , then
f(2) = f(1)² + 3 = 3² + 3 = 9 + 3 = 12
f(3) = f(2)² + 3 = 144 + 3 = 147
f(4) = f(3)² + 3 = 147² + 3 = 1609 + 3 = 1612
Please answer this problem!
Answer:
a. volume= 784 is the answer
in a circle H with m angle GKJ=27 find the m angle GHJ
In a circle H with a measure of angle ∠GKJ = 27°. Then the measure of angle ∠GHJ will be 54°
What is a circle?It is the center of a line drawn from the center to an equidistant location. The space between the center and the periphery of a circle is measured in radius.
In a circle H with a measure of angle ∠GKJ = 27°.
Then the measure of angle ∠GHJ will be
We know that a chord's slope in the center is double that of the chord's slope at the perimeter.
Then we have
∠GHJ = 2 x ∠GKJ
∠GHJ = 2 x 27°
∠GHJ = 54°
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The radius of the base of a cylinder is 28 cm and its height is 48 cm. Find the surface
area of the cylinder in terms of л.
O
A.4,208 cm²
B.4,228 cm²
C.4,232л cm²
D.4,256pie cm2
Answer:
D) [tex]4256\pi\:\text{cm}^2[/tex]
Step-by-step explanation:
[tex]SA=2\pi r h+2\pi r^2\\\\SA=2\pi(28)(48)+2\pi(28)^2\\\\SA=2\pi(1344)+2\pi(784)\\\\SA=2688\pi+1568\pi\\\\SA=4256\pi\:\text{cm}^2[/tex]
Answer:
Surface Area = 2πrh
= 2×π×28cm×48cm
= 2688πcm^2
The brick will be painted. Which measure will help the painter know how much paint to buy?
Step-by-step explanation:
B) Surface Area
C) Volume
Which function has a vertex at the origin?
f(x) = (x + 4)²
f(x) = x(x-4)
f(x) = -x²
f(x) = (x-4)(x+4)
Answer:
[tex]f(x)=-x^2[/tex]
Step-by-step explanation:
Vertex form of a quadratic function:
[tex]f(x)=a(x-h)^2+k[/tex]
where:
(h, k) is the vertexa is some constantIf the vertex is at the origin, then (h, k) = (0, 0)
[tex]\implies f(x)=a(x-0)^2+0[/tex]
[tex]\implies f(x)=ax^2[/tex]
Comparing this with the answer options suggests that the function with a vertex at the origin is [tex]f(x)=-x^2[/tex]
Can someone help me? I’ll give brainliest to whoever gets it right first
Answer:
108°
Step-by-step explanation:
From the diagram,
Angle X + Angle CXD = 180°
Angle X + 72° = 180°
Angle X = 180° - 72° = 108°
help me solve this pls
Answer:
B.) f(x) = |x| , g(x) = 9x + 2
Step-by-step explanation:
The expression f о g = H is identical to f(g(x)) = H. In other words, when you put the function g(x) in the "x" position of the f(x) function, it should look like the H(x) function.
If g(x) = 9x + 2, put the entire function in for "x" in f(x) = |x|. Once you do this, you get the function f(g(x)) = |9x + 2|.
Answer:B.) f(x) = |x| , g(x) = 9x + 2
Step-by-step explanation:
The expression f о g = H is identical to f(g(x)) = H. In other words, when you put the function g(x) in the "x" position of the f(x) function, it should look like the H(x) function.
If g(x) = 9x + 2, put the entire function in for "x" in f(x) = |x|. Once you do this, you get the function f(g(x)) = |9x + 2|.
7, 13, 9, 15, 11, 7, 11. Find the Interquartile range of this data set
I WILL GIVE YOU BRAINLIEST!!
a pet store has 8 empty fish tanks that each hold 5544 cubic inches of water one goldfish requires a minimum of 1386 cubic inches of water.
What is the greatest number of goldfish that the pet store can have given the volume of water needed for one goldfish?
Answer:
32 goldfish
Step-by-step explanation:
Given:
Number of fish tanks = 8Volume of water per fish tank = 5,544 in³Water required by 1 goldfish = min 1,386 in³Number of fish per tank = water per tank ÷ water per goldfish
= 5544 ÷ 1386
= 4
Therefore, each tank can hold a maximum of 4 goldfish.
Greatest number of goldfish = number of tanks × fish per tank
= 8 × 4
= 32
Identify some exterior angles in the figure. Select the two correct answers.
O c
O e
O a
O d
O b
if the absolute terms in the expansion of (x2+k )12 is 495 find the value of k
x
Answer:
if the absolute terms in the expansion of (x2+k )12 is 495 find the value of k
x
Step-by-step explanation:
A man travelled by train and left Nsawam at 10:43am and got at Dzorwulu at 3:23pm.Find the average speed of the train in km/hr if the distance of the journey was 356,140km.
Find the volume of the cone . Round your answer to the nearest tenth. Use 3.14 for 8 in. 4 in.
Answer:
see the attachment photo!
Which sentence correctly compares the two numbers 5.395 and 5.385?
5395 = 5.385
5.385>5.395
5.395<5.385
5.385<5.395
5395=5.385 TRUE OR FALSE
Inequalities help us to compare two unequal expressions. The correct option is D.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The sentence that correctly compares the two numbers 5.395 and 5.385 is 5.385<5.395. Hence, the correct option is D.
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Question 32 of 40
The ratio
opposite
hypotenuse
describes which function?
The ratio [tex]\frac{Opposite}{Hypotenuse }[/tex] describes the Sine function . The correct option is C. Sine
TrigonometryFrom the question, we are to determine the function that the ratio of opposite to hypotenuse describes
By SOH CAH TOA
We have that
[tex]Sine = \frac{Opposite}{Hypotenuse }[/tex]
[tex]Cosine = \frac{Adjacent}{Hypotenuse }[/tex]
and
[tex]Tangent = \frac{Opposite}{Adjacent}[/tex]
Hence, the ratio [tex]\frac{Opposite}{Hypotenuse }[/tex] describes the Sine function . The correct option is C. Sine
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−13x + 2/5 − 3 (2x + 4)
consider the exponential functions below.
put the functions, with their corresponding intervals, in order from least to greatest according to their average rates of change over those intervals.
The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
How to order the functions?The rate of change is calculated using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
For function g at the interval [2,3], we have:
[tex]m = \frac{g(3) - g(2)}{3- 2}[/tex]
This gives
[tex]m = \frac{20 - 4}{3- 2}[/tex]
[tex]m =16[/tex]
For function h at the interval [0,2], we have:
[tex]m = \frac{h(2) - h(0)}{2- 0}[/tex]
Where:
h(2) = 3(3)^2 - 9 = 18
h(0) = 3(3)^0 - 9 = -6
This gives
[tex]m = \frac{18 + 6}{2 - 0}[/tex]
[tex]m = 12[/tex]
For function f at the interval [1,2], we have:
[tex]m = \frac{f(2) - f(1)}{2- 1}[/tex]
This gives
[tex]m = \frac{12 - 6}{2 - 1}[/tex]
[tex]m = 6[/tex]
Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
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For a computer company, the cost to produce one PC is $1410 plus a one-time cost of $125,000 for research and development. The revenue from selling one PC is $1984. How many PCs must they sell to make a profit?
Which image below is an acute triangle?
Triangle A has angles measuring ninety five degrees, forty five degrees, and thirty degrees. Triangle B has angles measuring one hundred degrees, twenty five degrees, and twenty five degrees. Triangle C has angles measuring fifty degrees, sixty five degrees, and sixty five degrees. Triangle D has angles measuring thirty degrees, one hundred ten degrees, and twenty degrees.
Answer:
The answer is Triangle C
Step-by-step explanation:
The temperature at 10:00 AM is 260 c. if temperature rises 4 degrees more each hour. What will be temperature at 1:00 pm in the Afternoon?
Answer:
272 c
Step-by-step explanation:
Roses by 4 every hour
10 to 1 can be represented in 24 hour time as 10 to 13
13 subtract 10 is 3
3 multiplied by 4 is 12
260 add 12 is 272 c
(2x4 +7) + (5x4 - 4)
simpfly
Step-by-step explanation:
(2x4 +7) + (5x4 - 4)
=(8+7) + (20-4)
=15+16
= 31
Hope it helps
Answer: Heyaa! ~
Your Answer is... 31!
Step-by-step explanation:
(2x4 +7) + (5x4 - 4) = 31/ 7x⁴+3
Hopefully this helps you ! ^^
Kevin sold a house and receives a 6 1/2% commission he gave the listing broker 30% or 3,575 what was the price of the house
Answer:
12 just because I need the free credit things sorry this ain't gonna be helpful lol
For the following trapezoid, h = 5 ft, b = 7.9 ft, and B = 14.6 ft. What is the area?
Answer:
The area of the trapezoid is 56.25² feet.
Step-by-step explanation:
The formula for the area of a trapezoid is [tex]A=\frac{b+B}{2} h[/tex]
A = area (of the trapezoid)b = base of the trapezoidB = (other) base of the trapezoidh = height of the trapezoid*Note: Trapezoids have 2 bases that are parallel to one another, but are not always the same length.
Using the information given to us, we can simply plug in numbers into the equation. By doing so, we'd get [tex]A=\frac{7.9+14.6}{2} 5[/tex]. By plugging this into a calculator, you'd get [tex]A=56.25[/tex].
Phyllis invested 800 dollars into two different accounts, a portion earning a yearly interest rate of
4
percent per year compounded monthly and the rest earning a rate of
6
percent per year compounded quarterly
After 12 years the investments were worth $1579.05. How much money did she invest at each rate
The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.
Calculation of the total capital investedThe time the investment lasted= 12 years.
Simple interest = 1579.05 - 800= $779.05
The principal capital= $800
Rate of the both capital invested;
= SI × 100/P ×T
= 779.05 × 100/800 × 12
= 77,905/9600
= 8.11%
To find the amount of money that Phyllis invested at each given rate,
Rate 1 = 4/8.11× 800
= 3200/8.11
= $394.57
Rate 2 = 6/8.11× 800
= 4800/8.11
= $591.86
The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.
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Using horizontal strip, determine the area of the region bounded by curves x² + 4y - 8 = 0 and x =
2y
The Area of the region bounded by curves = 9 sq.units.
What is Area ?Area is the space occupied by a two dimensional figure on a two dimensional space coordinate.
The two curves given are
x² + 4y - 8 = 0 and x =2y
Convert the two equation so ‘x’ is the dependent variable.
y = -(1/4) x² +2 and y = (1/2)x
Find the limit by the intersection point of both the graph
so (-4, 2) and (2, 1)
The x-values of the line are greater so subtract the parabola:
A = ∫ (1/2)x - (-(1/4) x² +2 ) in the limits of (-4 and 1)
The Area = 9 sq.units.
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Help please asap aaaaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
Your exponential formula is in the form y = ab^x. In this form, the coefficient 'a' is the initial value, the y-intercept, the value when x=0. The value 'b' is the growth factor, which is 1 more than the growth rate per increment of x. This problem is asking for the growth rate to be expressed as a percentage.
__
Given p(x) = 78500(1.02^x), we can compare to the exponential function form to see that ...
a = 78,500b = 1.02 = 1 +0.02 = 1 +2%The value of x is zero in the year 2000, so the population that year is ...
p(0) = a = 78,500
The increase per year is the value of 'b' with 1 subtracted:
growth rate = 2% per year