answer:
A=46°
a=17.983 (tenths- 18, hundredths- 17.98)
b=17.366 (tenths- 17.4, hundredths- 17.37)
explanation:
1. find angle A
it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.
90°+44°=134°
180°-134°=46°
A=46°
2. find side a
using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.
cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)
25cosine44°=a
a=17.983
3. find side b
finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.
sine44°=[tex]\frac{b}{25}[/tex]
(multiply both sides by 25)
25sine44°=b
b=17.366
--
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Answer:
Option 3 (left object volume = right object volume)
For explanation:
The volume of a slanted cylinder is nothing but the same volume as the volume of the right circular cylinder of the same height
I hope my answer helps you.
Find the volume of the sphere. radius is 1/2
Answer:
The answer is 11/21 or 0.52 cubic units
Step-by-step explanation:
Given;Radius (r) = 1/2To Find;Volume of sphereFormula;Volume = 4/3 πr³Now,
V = 4/3 × 22/7 × (1/2)³
V = 4/3 × 22/7 × 1/8
V = 1/3 × 11/7 × 1
V = 11/21 = 0.52 cubic units
Thus, The volume of sphere is 11/21 or 0.52 cubic units.
Enter the equation of the circle with the given center and radius.
Center. (0,7); radius: 9
The equation of the circle is
?
Equations of circles are typically organized in the following form:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](h,k)[/tex] is the center [tex]r[/tex] is the radiusSolving the QuestionWe're given:
Center: (0,7)Radius length: 9 unitsPlug the given information into [tex](x-h)^2+(y-k)^2=r^2[/tex]:
[tex](x-0)^2+(y-7)^2=9^2[/tex]
[tex]x^2+(y-7)^2=81[/tex]
Answer[tex]x^2+(y-7)^2=81[/tex]
Can someone please help me with this and thank you :))
Answer:
14000
Step-by-step explanation:
The number in the thousands place is 4 so we look at the number after it which is 2:
Using the rounding rule, the number 2 is below 5 so we keep the 4 at 4:
So our answer is 14000.
Answer:
14000
Step-by-step explanation:
Since they are asking for us to round it to the nearest thousands, we have to look at the hundreds place to figure out whether we should round up or down. The number in the hundreds place is 2, and that means we round down to 14000 ("four or less, let it rest. five or more, raise the score").
Therefore, 14295.67 rounded to the nearest thousand is 14000.
I hope this helps! Have a lovely day!! :)
What is the vertex and axis of symmetry?
Check the picture below.
now, the Range and Domain are both assuming the lines goes no further, keeping in mind that most lines go to infinity.
the x-intercepts are just where the graph intersects or touches the x-axis.
the y-intercepts are just where the graph intersects or touches the y-axis.
vertex is simply where it makes the U-turn, and axis of symmetry is simply most of the time the x-coordinate of the vertex, of namely the line where the graph begins making a mirror image.
The relationship between the 3 sides in a right triangle
Answer:
In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.
Step-by-step explanation:
…
How do I solve this?
Answer:
f(-1)=2(-1)+5 = 3
f(2)=2(2)+5 = 9
f(0)=2(0)+5 = 5
2z+5
What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply. –11 –2 0 2 11What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply.
–11
–2
0
2
11
Given Equation :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]
To Find :
The value of x .Solution :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]
We are to find two numbers such that,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad p \times q = 22 \:}}} \\ \\[/tex]
The two numbers are 2 and 11, so
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + ( - 2x) + 11x - 22 = 0 \:}}} \\ \\[/tex]
Finding common factors :
[tex]{\longrightarrow \pmb{\sf {\qquad {x} (x - 2) + 11(x - 2) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (x - 2)(x + 11) = 0 \:}}} \\ \\[/tex]
Whether, the value of x is :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x - 2) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = 2 \:}}} \\ \\[/tex]
Or, Whether the value of x is :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 11) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = - \: 11 \:}}} \\ \\[/tex]
So,
Therefore the value of x is (-11) or 2.Answer:
A) –11
D) 2
Step-by-step explanation:
Got it right on edge!
Write an equation in slope-intercept form that is perpendicular to 4x - 5y = 1 and passes through (-3, 4).
Answer:
y=[tex]\frac{-5}{4}[/tex]x + [tex]\frac{-1}{ 4}[/tex]
Step-by-step explanation:
4x-1=5y
4/5 is the original slope and negative [tex]\frac{5}{4}[/tex] is the perpendicular slope.
Using that to put (-3,4) and the slope into point-slope form:
y-4=[tex]\frac{-5}{4}[/tex](x+3)
distribute and isolate y
y=[tex]\frac{-5}{4}[/tex]x + [tex]\frac{-1}{4}[/tex]
Answer:
y = -5/4x + 1/4
Step-by-step explanation:
*Pependicular line have negative reciprocal slopes*
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)4x - 5y = 1 <== subtract 4x from both sides
-4x -4x
-5y = -4x + 1 <== divide both sides by -5
/-5 /-5
y = 4/5x - 1/5
Find the Negative reciprocal of the line:
Steps:
1. Take your original slope (4/5)
2. Flip it (5/4)
3. Change the sign (-5/4)
The slope of the perpendicular line would be: -5/4 (y = -5/4x + b)
We need to find the y-intercept (b) for the perpendicular line using (-3, 4):
y = -5/4x + b <== substitue -3 for x and 4 for y
4 = -5/4(-3) + b
4 = 15/4 + b <== multiplify both sides by 4
4(4 = 15/4 + b)
16 = 15 + 4b <== subtract 15 from both sides
-15 -15
1 = 4b <== divide both sides by 4
/4 /4
1/4 = b
y = -5/4x + b changes to y = -5/4x + 1/4
Hope this helps!
risa loaned Abi $50 for a month. She charged 5% weekly simple interest for the month. How much did Abi have to pay Risa?
since the rate is a weekly basis, the period will also be in a weekly basis, so t = 4, assuming a month to be 4 weeks.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$50\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=weeks\dotfill &4 \end{cases} \\\\\\ A=50[1+(0.05)(4)]\implies A=50(1.2)\implies A=60[/tex]
1000 POINTS!!!!!! PLEASE HELP WILL MARK BRAINLIEST!!!!!!!!!
Solve for x using the law of Cosines!
SHOW UR WORK!!!!!
I'm not sure what this is can anyone lend a hand?
Answer:
38 minutes
Step-by-step explanation:
You have to see how long between the beginning time and ending time.
Hope this helps.
Consider the linear equation y = 5x – 4.
1. Provide 3 ordered pairs that are solutions to this linear
equation.
2. Test the point (-5, -29) to see if it is a solution to the
linear equation.
Be sure to show all work.
Answer:
(0,-4), (2,6), and (4, 16) are solutions to this equation.
Yes the point (-5,-29) is a solutions
Step-by-step explanation:
(-5,-29) is a solution because if you plug in -5 for x, y will equal to the y in the ordered pair.
a) Three ordered pairs (0, -4), (2, 6), and (-3, -19) that are solutions to the linear equation y = 5x - 4.
b) We verified that the point (-5, -29) is a solution to the equation by substituting its x and y values and getting a true statement.
a. To find ordered pairs that are solutions to the linear equation y = 5x - 4, we can simply substitute different values of x into the equation and calculate the corresponding y-values.
Let's choose three different values for x and calculate the corresponding y-values:
When x = 0: y = 5(0) - 4 = -4
So, the ordered pair is (0, -4).
When x = 2: y = 5(2) - 4 = 6
So, the ordered pair is (2, 6).
When x = -3: y = 5(-3) - 4 = -19
So, the ordered pair is (-3, -19).
b. To test whether the point (-5, -29) is a solution to the linear equation y = 5x - 4, we need to check if substituting x = -5 into the equation gives us y = -29.
Let's do the calculation:
y = 5(-5) - 4
y = -25 - 4
y = -29
Since y = -29 when x = -5, the point (-5, -29) is indeed a solution to the linear equation.
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Which object would weigh closest to 1 ton? A.Car B.Toothbrush C.Notebook D.Dog
a
A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height
of 7 inches. Which equation could be used to determine the volume, in cubic inches,
of the vase?
А
V = 7(5)?(7)
B
V = 70(7)?(5)
C
V = 7(7)?(2.5)
DV = 7(2.5)(7)
ca
hurry up i need this pls
Answer:
a
Step-by-step explanation:
sorry if it's wrong
brainliest and 50 points!
find the area of the regular polygon
A) 696
B)157.3
C) 1235.2
D) 946.4
Add the number which comes in the middle of the series to the largest number and divide the total by the smallest number 28 5 18 6 7
Answer:
8.2
Step-by-step explanation:
Number in the middle of the series = 18
Largest number = 28
Smallest number = 5
(18+28)/5
46/5
8.2
The required simplified solution of the given statement is 9.2.
Given that,
To determine the simplified solution of the given condition,"Add the number which comes in the middle of the series to the largest number and divide the total by the smallest number 28 5 18 6 7".
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the given statement,
Adding the number that is greater and in the middle of the former series
= 18 + 28 / 5
= 46 / 5
= 9.2
Thus, the required simplified solution of the given statement is 9.2.
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SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
u²= s²+t²
= 4.3²+4.9²
= 42.5
u= V42.5
= V170 /2
≈6.52
Answer:
6.519 cm
Step-by-step explanation:
Mmkay, so, you have to use the Pythagorean Theorem to find the actual length, which is a^2 + b^2 = c^2
a = 4.9 cm
b = 4.3 cm
4.9^2 is 24.01
4.3^2 is 18.49
Now add the two together:
24.01 + 18.49 = 42.5
Finally, we need to find the square root of 42.5
sqrt(42.5) = 6.519 cm
(rounding to nearest thousandth cuz it said so right by the answer box lol)
Hope this helped :D
a function is defined by f(0)=1 and f(n)=f(n-1)+n+1. Find f(5)
Answer:
f(5) = 21
Step-by-step explanation:
Given:
[tex]f(0)=1[/tex]
[tex]f(n)=f(n-1)+n+1[/tex]
[tex]\implies f(1)=f(0)+1+1=1 + 1 + 1=3[/tex]
[tex]\implies f(2)=f(1)+2+1=3 + 2 + 1=6[/tex]
[tex]\implies f(3)=f(2)+3+1=6+3+1=10[/tex]
[tex]\implies f(4)=f(3)+4+1=10+4+1=15[/tex]
[tex]\implies f(5)=f(4)+5+1=15+5+1=21[/tex]
Help me !! 10/7 x 9/8 7/9 x 8/10
Answer:
Step-by-step explanation:
10/7 x 9/8 = 90/56 = 45/28.
7/9 x 8/10 = 56/90 = 28/45
If you want to multiply these, the answer is (28*45) / 28/45) = 1.
Answer:
((((10 / 7) * 9) / 8 7/9) * 8) / 10 = 1.17179024
fraction: 7323689 / 6250000
decmal:1.17179024
d=6cm
h=8cm
volume of a cylinder?
Answer:
226.224 cm^3
Step-by-step explanation:
Formula :
[tex]\pi r ^{2} h[/tex]
Pi = 3.142
[tex]\pi \times 3 ^{2} \times 8[/tex]
[tex] = 226.224cm ^{3} [/tex]
A. Dilation
B. Rotation
C. Reflection
D. Translation
Answer:
C
Step-by-step explanation:
Both the figures are mirror images of each other and equidistant from the y-axis, so they are reflected across the y-axis.
Answer:
Reflection
Step-by-step explanation:
Figure one was reflected accross the y axis to create figure two :)
Have an amazing day!!
Please rate and mark brainliest!!
Use the drop-down menu to select the education or qualification best demonstrated in each example.
Nate is skilled at developing new ways to communicate with potential customers.
Lucy is good at building relationships with contacts in the news media.
Marco is able to juggle many tasks at once.
Answer: Answers are:
Step-by-step explanation:
Nate: Creativity
Lucy: Social skills
Marco: Organizational skills
OR
D , B, D
Answer
Nate: Creativity
Lucy: Social skills
Marco: Organizational skils
Step-by-step explanation:
Nate is creative lucy has social skills and marco has organiztional skills
20 POINTS HELP NEEDED ASAP
____________________
Answer:
The solution is 215/2
Step-by-step explanation:
2×21,5÷2/5
= 2×43/2×5/2
= 43/2×5
= 215/2
= 107 1/2
write an equation for the nth term of the arithmetic sequence -7, -2, 3, 8
Answer:
n=5
Step-by-step explanation:
So I'm not sure how to write the equation, but i do know that each term has five added from the previous one, hope that help a little bit!
What is a radian?
A) an angle measure with an arc length equal to one radius length
B) an angle measure with an arc length equal to one diameter length
C) an arc length that is the length of one diameter
D) a radius that is 3.14 inches long
Answer:
The answer is A
Step-by-step explanation:
An angle measure with an arc length equal to one radius length.
Given,
Radian.
Here,
Radian : An angle measure with an arc length equal to one radius length.
Radian is a measure of angle .
Degree measurements can be converted into radians.
For example,
30° = 30° × π/180°
30° = π/6
Thus radians can be converted into degrees by vice versa .
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If you roll two dice, one red and one blue, what is the probability that the red die shows 5 and the product of the two dice is less than 20?
Type your answer into the box as a decimal. Round to the nearest thousandth.
Can someone please solve this? When I put it in the calculator the slope is wrong.
Answer:
y=6
Step-by-step explanation:
When you put the points on a plane, you can see it is a horizontal line, therefore the slope is 0
Remember that 0 times any other number is 0
So, instead of having y=0x+6 you can simplify the 0x and you have y=6
Tom is exchanging money for his trip to india. the exchange rate of us dollars to indian rupees is 1:45.897. tom needs 11,550 rupees. the currency exchange service he is using charges a fee of 7.25% after the exchange is made. how many us dollars will it cost tom to get the rupees he wants? round to the nearest dollar. a. $235 b. $252 c. $263 d. $270
The total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.
How to calculate the percentage?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.
To calculate the percentage part of number, multiply it with the original number and divide with 100.
Tom is exchanging money for his trip to india. The exchange rate of us dollars to indian rupees is,
[tex]r=\dfrac{1}{45.897}[/tex]
Tom needs 11,550 rupees. The dollars need for 11550 Indian rupees are,
[tex]n=\dfrac{11550}{45.897}\\n=251.65[/tex]
The currency exchange service he is using charges a fee of 7.25% after the exchange is made. Thus the total dollar requied after the service charge is,
[tex]n=251.65+\dfrac{7.25}{100}\times251.65\\n=251.65+18.245\\n=269.895\\n\approx270[/tex]
Thus, the total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.
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