Jamie has a rectangular room in her home with a width of 8 feet and a diagonal distance of 17 feet. Find the total area of the room.
Answers
Step-by-step explanation:
8²+x²=17²
74+ײ=289
x²=225
Sq root both sides
x=15
15×8=120 Sq ft
Related Questions
Solve the system of equations 3x+2y=223x+2y=22 and -4x+3y=16−4x+3y=16 by combining the equations.
Answers
Answer:
(2, 8)
Step-by-step explanation:
Given the system of equation
3x+2y=22 ... *4
-4x+3y=16 .... *3
Using the elimination method
12x + 8y = 88
-12x + 9y = 48
Add
8y + 9y = 88+48
17y = 136
y = 136/17
y = 8
Recall that
3x+2y=22
3x+2(8)=22
3x + 16 = 22
3x = 22-16
3x = 6
x = 6/3
x = 2
Hence the required solution (x, y) is (2, 8)
Write an explicate formula for this sequence -2, 6, -18, 54
Answers
Answer:
7 =121 and t underscore 15 =193
Step-by-step explanation:
Answer:
[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
r = 6 ÷ - 2 = - 18 ÷ 6 = 54 ÷ - 18 = - 3
This indicates the sequence is geometric with explicit formula
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = - 3 , then
[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]
A town doubles its size every 17 years. If the population is currently 15,000, what will the population be in 34 years?
Answers
Answer:
60,000
Step-by-step explanation:
Explanation: 34 is double of 17 so the town doubles twice, 15,000 * 2 * 2 is your Expression and leads you to 60,000.
help help help pleaseee
Answers
Answer:
f is the answer
Step-by-step explanation:
What is the volume of a sphere with a diameter of 7,5 cm, rounded to the nearest
tenth of a cubie centimeter
Answers
Answer:
179.59
Step-by-step explanation:
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PLEASE SOMEONE PLEASE HELP I DONT GET THIS PLEASE HELP ILL GIVE BRAINLIEST
Answers
hii please help i’ll give brainliest
Answers
Answer:
-19
Step-by-step explanation:
Answer:
-19
hope it helps. Plz mark brainliest!
explanation:
To find its opposite, change the negative sign to a positive sign. The answer is that the opposite of 19 is -19.
BAC ~ DEC
x = ___ units
Answers
Given:
[tex]\Delta BAC\sim \Delta DEC[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\Delta BAC\sim \Delta DEC[/tex]
The corresponding parts of similar triangles are proportional.
[tex]\dfrac{AB}{ED}=\dfrac{AC}{EC}[/tex]
On substituting the values, we get
[tex]\dfrac{24}{56}=\dfrac{2x}{3x+5}[/tex]
[tex]\dfrac{3}{7}=\dfrac{2x}{3x+5}[/tex]
[tex]3(3x+5)=2x(7)[/tex]
[tex]9x+15=14x[/tex]
Subtract [tex]9x[/tex] from both sides.
[tex]15=14x-9x[/tex]
[tex]15=5x[/tex]
[tex]\dfrac{15}{5}=x[/tex]
[tex]3=x[/tex]
Therefore, the value of x is 3 units.
find the value of x. write your answer in simplest radical form. x 9 7
Answers
Answer:
Answer B
Step-by-step explanation:
You have to use the pythagorean theorm which states that a^2+b^2=c^2
So, 7^2+x^2=9^2
49+x^2=81 subtract 49 from both sides of the equation
x^2=32
x=sqrt(32)
sqrt(32)=sqrt(16)*sqrt(2)
=4*sqrt(2)
hii please help i’ll give brainliest
Answers
The last answer choice
classify the type polynomial 11x+20
Answers
Answer:
binomial
Step-by-step explanation:
there are two terms, "11x" and "20"
A biologist was sitting near a pond and noticed a large number of dragonflies. He also saw both frogs and fish trying to eat the
dragonflies. He counted a total of 89 fish, frogs, and dragonflies. He noticed that there were four times as many dragonflies as fish and
that the frogs were five more than twice the number of fish
Answers
89 /3
frogs = 29.6
fish = 29.6
dragonflies = 29.6
all of them equal 89
a = fish = 12
b = frog = 29
c = dragonflies = 48
a + b + c = 89
c = 4a (four times as many dragonflies as fish)
b = 2a + 5 (frogs were five more than twice the number of fish)
Then substitute for b and c in the big equation:
a + (2a + 5) + 4a = 89
Combine like terms:
7a + 5 = 89
Subtract 5 from both sides:
7a = 84
Divide both sides by 7:
a = 12
Now use this to solve for b and c
c = 4(12) = 48
b = 2(12) + 5 = 24 + 5 = 29
Please let me know if you have any questions.
Math help me please/////
Answers
Answer:
C.
Step-by-step explanation:
A and D are incorrect because there is one outlier in the lower graph, and there are no signs of clusters on the graph, making B wrong as well. This leaves the only answer, C, which makes sense because there is a positive correlation of a line.
HELP WILL MAKE BRAINLIEST
Answers
Answer:
x
Step-by-step explanation:
If x = 7, what does y equal in the following equation? *
2x + 4y = -6
1) y = -2
2) y=-3
3) y=-4
4) y=-5
Answers
2x + 4y= -6
2(7) + 4y = -6
14 + 4y = -6
4y = -14 -6
y = -20/4
y = -5
Can consecutive whole numbers go backwards?
Answers
Answer:
yes, they can become they're still counting numbers
PLEASE HELP the graph of the function f(x)=5/4sin(x)+1 is shown. what are the key features of this function? (look at photo)
Answers
Answer:
2.25 -0.25 increasing (-0.25,2.25)
Step-by-step explanation:
The minimum and maximum values are negative 1/4 and 9/4. In the interval of (0, π/2), the function is decreasing. And the range of the function will be [–1/4, 9/4].
What is a sinusoidal Function?It is a function that repeats itself in a particular time interval.
The equation is given as
y = A sin (ωx + Ф) + C
Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.
The function is given below.
f(x) = (5/4) sin(x) + 1
Compare the function with standard equation.
A = 5 / 4
ω = 1
Ф = 0
C = 1
Then the maximum value of the function at sin x = 1, will be
Maximum value = 5/4 + 1
Maximum value = 9/4
Then the minimum value of the function at sin x = –1, will be
Minimum value = –5/4 + 1
Minimum value = –1/4
In the interval of (0, π/2), the function is decreasing.
And the range of the function will be [–1/4, 9/4].
More about the sine function link is given below.
https://brainly.com/question/3876065
#SPJ2
$100 are shared between Adam and Hamza in the ratio 1:3.
A)
How many dollars did Adam receive?
How many dollars did Hamza receive?
Answers
Answer:
$25 for Adam and $75 for Hamza
Step-by-step explanation:
$100 will be divided to 3 + 1 = 4 parts
the dollars Adam received
= $100 × 1/4
= $25
the dollars Hamza received
= $100 × 3/4
= $75
-----------------------------------------------------------
the dollars Hamza give to Adam
= $75 × 25%
= $75 × 25/100
= $18.75
the dollars Adam have
= $25 + $18.75
= $43.75
the dollars Hamza have
= $75 - $18.75
= $56.25
the ratio
= 43.75：56.25
= 7：9
13.
You are given that tan θ= 1 / √3.
First, find the value of θ.
Answers
See attachment for reply.
PLEASE HELP ASAP PLEASE HELP
Answers
Fraction:
Decimal:
Percent:
Answers
Answer:
Fraction: 9/10
Decimal: 0.9
Percentage: 90%
Answer:
Fraction: 9/10
Decimal: 0.9
Percent: 90%
Step-by-step explanation:
Farid checked the prices of 5 items available for purchase in the cafeteria. The prices were:
$6.00$8.00$6.00$2.00$4.00
What was the median price of the items?
MEAN AND MEDINA
Answers
Answer:
Mean is 5.2 Median is $6.00
Step-by-step explanation:
To find mean u have to find the "average" whereby u add all the numbers and divide by the number of numbers.
($2+$4+$6+$6+$8)= $26. Then since there are 5 numbers in all u divide by 5.
$26÷5 =5.2 5.2 is the median.
Median is the middle number. To find it u have to rearrange the numbers from smallest to largest and find the middle number.
$2, $4, {$6,} $6, $8
$6 is the median.
pls help me my hw is due soon!!!!!!!
Answers
From the top of a light house 60 meters high with its base at sea level, the angle of depression to a boat is 15o. What is the distance of the boat from the foot of the light house?
Answers
Answer:
Distance between boat and light house = 223.88 meter (Approx.)
Step-by-step explanation:
Given:
Height of light house = 60 meters
Angle of depression to boat = 15°
Find:
Distance between boat and light house
Computation:
Using trigonometry application:
Tanθ = Perpendicular / Base
Tan 15 = Height of light house / Distance between boat and light house
0.268 = 60 / Distance between boat and light house
Distance between boat and light house = 60 / 0.268
Distance between boat and light house = 223.88 meter (Approx.)
Find the value of x in OQ. 5x-6
2x+9
Need help with this question asap!!
Answers
Answer:
[tex]\huge\boxed{\sf x = 5}[/tex]
Step-by-step explanation:
Since, the chord is being bisected by the diameter (being divided into two equal parts). Hence,
5x - 6 = 2x + 9
5x - 2x = 9 + 6
3x = 15
Divide both sides by 3
x = 15 / 3
x = 5
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Find the product of 22.4 and 0.51
Answers
Answer:
11.424 is the product of 22.4 x 0.51
What is a possible solution to x ≥ −2?
Answers
Answer:
5
Step-by-step explanation:
Please help
David has scored 86, 70, 79, 90, and 85 on his previous five tests. What score does he need on his next test so that his average (mean) is 84
Answers
Multiply 6 to both sides and then add everything together and then subtract i from the multiplied 86 which will get you 94.
Answer: 94
Which side lengths form a right triangle?
Choose all answers that apply:
Answers
Answer:
A
Step-by-step explanation:
9, 12, 15 is a multiple of 3, 4, 5 which is a right triangle
Answer:
A. 9, 12, 15
Step-by-step explanation:
A. [tex]9^{2} +12^{2} =15^{2}[/tex]
B. [tex]6^{2} +2^{2}\neq\sqrt{38}^{2}[/tex]
C.[tex]3^{2} +9^{2} \neq \sqrt{91} ^{2}[/tex]
i just need help finding y thank you
Answers
Answer:
x=9.43mm
Step-by-step explanation:
H= A/C
H=9.15/cos(14)=9.43mm
Answer:
9.43
Step-by-step explanation:
If x = 2.28
pythagoras theory that a^2 + b^2 = c^2
so 9.15^2 + 2.28^2 = 88.920
[tex]\sqrt88.920[/tex]=9.429