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Given that a = 3.5 cm and b = 9.4 cm, work out the perimeter of the triangle.
Give your answer rounded to 1 DP.
a
b
The diagram is not drawn accurately.
Answers
Answer: 23 cm
Step-by-step explanation:
Given
[tex]a=3.5\ cm\\b=9.4\ cm[/tex]
Triangle in the figure is right-angled triangle. Therefore, Pythagoras theorem can be applied. Suppose the unknow length of the triangle is x
[tex]\Rightarrow x^2=a^2+b^2\\\Rightarrow x^2=3.5^2+9.4^2\\\Rightarrow x^2=12.25+88.36\\\Rightarrow x^2=100.61\\\Rightarrow x=10.03\ cm[/tex]
The perimeter of triangle is the sum of the lengths of sides.
[tex]\text{Perimeter }P=3.5+9.4+10.03\\\Rightarrow P=22.93\ cm\approx 23\ cm[/tex]
Related Questions
which expression is equivalent to the one below
Answers
A(n) is a written agreement between different parties.
A. contract
B. commitment
C. month-to-month
D. annual commitment
Answers
Answer:
A. contract
Step-by-step explanation:
help me plsssss i rlly need helppppp i'll give brainliestttt
Answers
So the answer is $118
How do you write 4.789x10^7 in standard form?
Answers
Answer: 47890000
Step-by-step explanation:
4.789*10^7=4789*10^4=4789000
Answer:
47,890,000
Step-by-step explanation:
A bag contains 8 green M&Ms, 12 blue M&Ms, and 2 orange M&Ms. What is the
probability of choosing a green M&M, eating it, and then choosing a blue M&M?
Please help me this is turn in tomorrow please.
Answers
Answer:
16/77 or about 21%
Step-by-step explanation:
P(G,B) = 8/22 x 12/21 = 16/77 (simplified)
The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.
Answers
Answer: 21 m
Step-by-step explanation:
Given
the angle of depression of point G is [tex]25^{\circ}[/tex]
Distance from pole base to point G is 45 m
Suppose h is the height of the pole
From the figure, we can write
[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]
In the data set shown below, what is the value of the quartiles?
{56, 58, 64, 68, 72, 75, 78}
A. Q1 = 58; Q2 = 68; Q3 = 73.5
B. Q1 = 61; Q2 = 68; Q3 = 73.5
C. Q1 = 75; Q2 = 68; Q3 = 58
D. Q1 = 58; Q2 = 68; Q3 = 75
Answers
Answer:
its either b or d not 100% sure though so im sorry if im wrong
A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2
Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answers
Answer:
0.51 and 11.24 seconds.
Step-by-step explanation:
The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:
[tex]h(t)=188t-16t^2[/tex]
And we want to find all values of t for which the rocket's height is 92.
So, we can set h(t) = 92 and solve for t:
[tex]92=188t-16t^2[/tex]
We can divide everything by four:
[tex]23=47t-4t^2[/tex]
Rearrange the equation:
[tex]4t^2-47t+23=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = -47, and c = 23. Substitute:
[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]
So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.
Write the equation 8x-2y=10 in slope intercept form.
Answers
Answer:
[tex]y=4x-5[/tex]
Step-by-step explanation:
Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:
[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]
In which direction does the left side of the graph of this function point?
fx) = 3x - x²+4+- 2
Answers
Erin opened a savings account that earns 3% simple interest. If she deposts $2,750 and doesnt make any additional deposits or withdrawals how much money will be in her account at the end of 6 years?
Answers
Answer:
3245$ (im assuming the interest is yearly)
Step-by-step explanation:
using the is/of method
3% x
___ ___ cross mult and divide. = 82.5 interest x 6 years of it
100 2750
2750 + 495
What is the radius of a circle whose area is 36 π cm squared?
Answers
Answer: 3.39
Step-by-step explanation: maybe
3x²-7x+4=0
can yall help me
Answers
Answer:
I think it
[tex]X1 = 1.333\\X2 = 1\\\\[/tex]
PLEASE HELP ASAP I have no idea how to solve this pls pls pls
Answers
Answer:
Step-by-step explanation:
you have to use trigonometric functions
cos 30 = adj. /hyp.
cos 30 = 12 / y
y = 12/cos 30 ≅13.86
tan 30 = opp./adj
tan30 = x / 12
x = 12 tan30 ≅6.93
What is the coordinate of the focus
for the following parabola:
(x - 1)2 = 12(y + 2)
A. (1, -2)
B. (0, 12)
C. (12,0)
D. (1, 1)
Answers
Answer:
I want to say B or D please tell me if I'm right lol
Answer choices
a
b
c
d
Answers
Answer:
Either A or D
Step-by-step explanation:
I got It right Hope it helps this you guys
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
1 < x
Step-by-step explanation:
We have to used same order of operations just as we would in an equation;
15 > -x + 16
=> First subtract 16 from each side
-1 > -x
=> To bring x to positive, divide each side by -1 (Since we are dividing by a negative value, the inequality sign will switch)
Therefore the answer is: 1 < x
Hope this helps!
Answer:
15>-x+16
-1>-x
1<x
hope this helps
have a good day :)
Step-by-step explanation:
A company claims they produce their mixed bag of candies so that, of the candies in the bag, 20 percent are dark chocolate, 60 percent are milk chocolate, and 20 percent are white chocolate. In a random sample of candies of size 50, the counts are as follows: 6 dark, 32 milk, and 12 white. Assuming the conditions for inference are met, what is the test statistic for a chi-square goodness-of-fit test to investigate whether the distribution of the sample is consistent with the company’s claim?
Answers
Answer: D: x^2=(6-10)^2/10 + (32-30)^2/30 + (12-10)^2/10
Step-by-step explanation: The formula for the chi-squared test is summation: (observed-expected)^2/expected. The observed value in this case would be the counts we received from the random sample (6 dark, 32 milk, 12 white). The expected value can be calculated by taking the percentages given in the problem and multiplying them by 50 (0.20x50=10 dark , 0.60x50=30 milk , 0.20x50=10 white).
please bootiful people help this nonsmart person
Answers
Answer:
9
Step-by-step explanation:
the triangle is right angle.
at right angle it makes 90°. therefore;
(3d+1)°+(6d+8)°=90°
3d+1°+6d+8°=90°
9d+9°=90°.
9d=90°-9°
9d=81°
d=81/9
d=9°
Solve the expression below. 3/7÷2 1/2
Answers
Answer:
6/35
Step-by-step explanation:
3/7 : 2 1/2
2 1/2 = (2*2+1) / 2 = 5/2
3/7 : 5/2 = 3/7 * 2/5 = (3*2) / (7*5) = 6/35
The length of one side of a square is 3m^4. What is the area of the square? (A = I x w)
a. 3m^4
b. 6m^8
C. 9m^8
d. 6m^6
Answers
============================================================
Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).
*Use the distributive property.
(3m^4)^2 = 3^2 * (m^4 * m^2) = 9m^8
How much money would you have if you invested $2500 at 5.75% annual interest, compounded quarterly for 5 years
Answers
Answer:
[tex]A\simeq3325.91[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $2500
[tex]r = 5.75\% = \frac{5.75\%}{100\%}=0.0575[/tex]
t = 5
n = 4 (quarterly in a year)
Then,
[tex]A=2500(1+\frac{0.0575}{4} )^{(4)(5)}\\\\A=2500(1+\frac{0.0575}{4} )^{20}\\\\A=3325.911985\\\\A\simeq3325.91[/tex]
Please helpp
Extra points and brainleist
Answers
Answer:
D
(x+3)^2=4(x+3)(x+3)=4x^2+3x+3x+9=4x^2+6x+9=4x^2+6x=4-9x^2+6x=-5x^2+6x+5=0The radius of a sphere measures 2 units. What is its surface area? S = 4πr2 S = 4π(2)2 Surface area=
Answers
Answer:
16π or 50.3 units
Step-by-step explanation:
the formula for the surface area of a sphere (as you mentioned) is:
4πr²
So if we plug in the given value (2) for r:
4π×2²=16π
Answer:
16
Step-by-step explanation:
I got it right
What number is 0.01 more than 253.498?
Answers
Answer:
1/64
Step-by-step explanation:
Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.
In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078, less than 0.100 but not the first number.
The correct value for n is 9 that will give us 2-4=1/16
253.508 is 0.01 more than 253.498.
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
Let the number be x
so,
x=253.498+0.01
x= 253.508
Learn more about concept here:
brainly.com/question/14491091
#SPJ2
inventa un objeto geométrico, defínelo y expresa cómo lo representarías verbal, simbólica y gráficamente. Da ejemplos que cumplan las condiciones para que sea posible reconocerlo por medio de la definición y no ejemplos.
Answers
pls help me tysmmm~
!!
Answers
Answer:
It is 6,4 or 4,6
Step-by-step explanation:
The model represents an inequality. What is the solution set for the inequality?
F). x ≤ -5
G). x ≤ 5
H). x ≤ 1
J). x ≤ -14
Answers
Answer:
-5
Step-by-step explanation:
4x+12 is less than or equal to -8 so subtract 12 from -8 and get -20 so 4x is less than or equal to -20 then divide -20 by 4 and get -5
Please help! I will mark brainliest.
Answers
Answer:
the correct answer is D 175
the sum of two numbers is 121. if the larger number is 7 more than the smaller number, find both number.
Answers
Answer:
57 and 64
Step-by-step explanation:
x = smaller number
x + x + 7 = 121
2x = 114
x = 57