Answer:
The shortest altitude = 8 cm
Step-by-step explanation:
Where we have the sides given by
15 cm, 17 cm, 8 cm
From cosine rule, we have;
a² = b² + c² - 2×b×c×cos(A)
We have
For the side 15 cm,
15² = 17² + 8² - 2×17×8 cos A
-388 = -612×cos×A
A = 61.93°
17² = 15² + 8² - 2×15×8 ×cos B
0 = -240·cos B
B = 90°
Therefore, 17 is the hypotenuse side and 15 and 8 are the legs, either of which can be the height which gives the shortest altitude as 8 cm
Please help me!!!! I really need help!!
Answer:
A. 25°
Hope it helped
Find the equation of the line.
Answer:
y = -2x + 5
Step-by-step explanation:
You use the equation y = mx + b, where m is the slope and b is the y-intercept. We see that the line hits the y-axis at 5, so that will be your b. To find the slope, use [tex]\frac{rise}{run}[/tex]. You have to go down 4 and right 2, so your slope will be [tex]-\frac{4}{2}[/tex] which simplifies to -2. Hope this helps!
Answer: y=2/-5x+5
Step-by-step explanation:
how to do this question plz
Answer:
Step-by-step explanation:
9-5=4
8*4*10=320
5*10*3=150
320+150=470
470 cm³
I am starting to get this but, each question is a different subject so plz help asap. Btw these are not test or quiz questions. They are just practice questions so I know how to do it before a test or quiz.
Answer:
73 degrees
Step-by-step explanation:
Given
A Shaped Frame of two congruent sides
Required
Determine the angle made with the ground
Given that there are two congruent sides, this implies that the A frame is an isosceles triangle;
Let the two angles made with the ground be represented by x
Angles in a triangle when added equals 180;
Hence;
[tex]x + x + 34 = 180[/tex]
[tex]2x + 34 = 180[/tex]
Subtract 34 from both sides
[tex]2x + 34 - 34 = 180 - 34[/tex]
[tex]2x = 180 - 34[/tex]
[tex]2x = 146[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{146}{2}[/tex]
[tex]x = \frac{146}{2}[/tex]
[tex]x = 73[/tex]
Hence, the angle with the ground is 73 degrees
A store has been selling a certain TV for $210. If the store raised the price by 5% (of the original
price), what would be the new price?
Answer:
Step-by-step explanation:
Selling price = $210
percentage increase = 5 %
Increased amount = 5% of 210
= 0.05 * 210
= $ 10.5
New selling price = 210 + 10.5 = $ 220.50
Question in screenshot answer must be in cm
Answer:
30.5 cm
Step-by-step explanation:
0 < h ≤ 10 ⇔ Midpoint = 5
10 < h ≤ 20 ⇔ Midpoint = 15
20 < h ≤ 30 ⇔ Midpoint = 25
30 < h ≤ 40 ⇔ Midpoint = 35
40 < h ≤ 50 ⇔ Midpoint = 45
50 < h ≤ 60 ⇔ Midpoint = 55
⇒ Multiply each corresponding midpoint with it's frequency
(5 × 1) + (15 × 4) + (25 × 7) + (35 × 2) + (45 × 3) + (55 × 3) = 610
⇒ Divide the total of 610 by the frequencies added together
610 ÷ (1 + 4 + 7 + 2 + 3 + 3) = 610 ÷ 20 = 30.5
Karen has $600. She spent $240 on clothes. What percentage of money did she have left?
Answer: She had 60% of the money left
Step-by-step explanation:
240/600=0.4
0.4 = 40%
100%-40%=60%
Answer:
60%
Step-by-step explanation:
LETS MAKE IT INTO A FRACTION
FIRST LETS CALCULATE HOW MUCH SHE SPENT
=240/600
WE CAN SIMPLIFY BY DIVIDING THE EQUATION BY 10
=24/60
LETS DIVIDE BY 6
=4/10
DIVIDE BY 2
=2/5
NOW LETS CALCULATE HOW MUCH SHE HAS LEFT
THE EASIEST WAY IS TO SUBTRACT
5/5-2/5=3/5
3/5 IS ALSO EQUAL TO 60/100
SO KAREN HAS 60% OF HER MONEY LEFT
HOPE I HELPED
PLS MARK BRAINLIST
(DESPERATELY TRYING TO LEVEL UP)
✌
Find the value of x that makes ABCD a parallelogram.
Answer:
x = 10
Step-by-step explanation:
A parallelogram's angles should all add up to 360 degrees. 130+130 is equal to 260 degrees. 360-260 is equal to 100. Because we need to find the individual angles of Angle A and Angle C, we will divide 100 by two. That leaves us with 50 degrees for Angle A and Angle C EACH. We know Angle C is equal to 5x. So, we would divide 50 by 5, which leaves us with 10 degrees. Therefore, x = 10.
Write as an algebraic expression: the product of a number and 6
i’m desperate plzzz
Answer:
6n or 6 x n
Step-by-step explanation:
Kate opens a savings account with a deposit of $1250. After 2 years, she has
receives $112.50 in interest. What is the annual interest rate?
Answer:
4.5%
Step-by-step explanation:
Simple interest:
I = Prt
112.5 = 1250(r)(2)
1250r = 56.25
r = 0.045 = 4.5%
Answer: 4.5%
Please Help!! Brainliest for Right anwser!
Suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60°. What is the length of the third side of the triangle?
Answer:
I hope it will surely help uh.....
Answer:
sqrt of 7
Step-by-step explanation:
Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold
10 senior citizen tickets and 8 child tickets for a total of $170. The school took in $185 on the
second day by selling 10 senior citizen tickets and 11 child tickets. Find the price of a senior
citizen ticket and the price of a child ticket.
A) senior citizen ticket: $13, child ticket: $5 B) senior citizen ticket: $12, child ticket: $7
C) senior citizen ticket: $5, child ticket: $13 D) senior citizen ticket: $21, child ticket: $6
Answer:
A
Step-by-step explanation:
If you play around with each of the answers, you'll find that 13*10=130 (where $13 is the cost of each of 10 senior tickets) plus 5*8=40 (where $5 is the cost of each of 8 child tickets) equals $170.
Hope this helps!! <3
The price of a senior citizen and child ticket is required.
The correct option is A) senior citizen ticket: $13, child ticket: $5
System of linear equationsLet [tex]x[/tex] be the price of senior citizen ticket
[tex]y[/tex] be the price of child ticket
The equations will be
[tex]10x+8y=170[/tex]
[tex]10x+11y=185[/tex]
Subtracting the equations
[tex]-3y=-15\\\Rightarrow y=\dfrac{-15}{-3}\\\Rightarrow y=5[/tex]
Finding [tex]x[/tex]
[tex]10x+8y=170\\\Rightarrow x=\dfrac{170-8y}{10}=\dfrac{170-8\times 5}{10}\\\Rightarrow x=13[/tex]
Learn more about system of linear equations:
https://brainly.com/question/14323743
Write an equation of the line that passes through the point (-6, -5) with slope 6.
A. y +5= -6(x+6)
B.y+6= -6(x+5)
C. y+6=6(x+5)
D.y+5= 6(x+6)
Answer:
The answer is option D.
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
Equation of a line from given a Slope and a point is
y - y1 = m(x - x1)
Where ( x1 , y1) is the point
Equation of the line using point (-6 , -5) and slope 6 is
y + 5 = 6(x - 6)Hope this helps you
BRAINLIEST, THANKS, 5 STARS & 15 POINTS IF ANSWERED CORRECTLY.
What is the 52nd term of the sequence below?
-38, -35, -32, -29...
Answer:
115
Step-by-step explanation:
It adds 3 every time and starts with -38. Our equation is:
a52 = -38+3(52-1);
a52 = -38 + 153
a52 = 115
Answer:
115
Step-by-step explanation:
→ First we need to work out the nth term. First we find the difference between each term
-38, -35, -32, -29... ⇔ +3
→ We know the first bit is 3n now we have to find the other section. We need to write the 3 times tables on top of each corresponding term
3 , 6 , 9 , 12
-38, -35, -32, -29...
→ We can see the to get from 3 to -38 we minus 41. So the nth term is
3n - 41
→ Now we substitute in 52 for n
3 × 52 - 41
→ Simplify
115
Simplify.
A12 over a7
Answer:
a^5.
Step-by-step explanation:
a^12 / a^7 = a^(12 - 7) = a^5.
Hope this helps!
The rectangular classroom is 36ft in length and 32 feet in with. The scale drawing of the floor has a length of 9 inches. What is the area, in square inches, of the floor in the scale drawing? Explain your answer.
Answer:
72 inch²
Step-by-step explanation:
Rectangular classroom
Length=36ft
Width=32ft
scale drawing length = 9 inches
Scale drawing width=x
Ratio of the length to the scale drawing length = 36/9
Ratio of the width to the scale drawing width=32/x
To find x
36/9=32/x
Cross product
36x=32*9
x=288/36
=8
x=8
Area of a rectangle= length × width
Length=9 inches
Width=8 inches
Area of the rectangular classroom= 9 inches × 8 inches
=72 inch²
length of a rectangle is 3 times its width.If its perimeter is 24 centimetres what is the area of the rectangle?
Answer:
27 cm²Step-by-step explanation:
The length is 3 × width.
l = 3w
The perimeter is 24 centimeters.
P = 2l + 2w
24 = 2(3w) + 2w
24 = 6w + 2w
24 = 8w
3 = w
The width is 3 centimeters.
l = 3(3)
l = 9
The length is 9 centimeters.
Area is l × w.
A = l × w
A = 9 × 3
A = 27
The area is 27 squared centimeters.
Answer:
27
Width= x
Length= x × 3 =3x
so, 3x+3x+x+x=24
8x=24
x=24/8
x=3
so, length=3(3)=9
width=3
therefore,
Area=9×3
=27
OMGGG PLS HELP PLS I WILL GIVE YOU POINTS AND STUFF PLS HELP MEH Figure A is a scale image of Figure B. B: side length x A: side length 10 Figure A maps to Figure B with a scale factor of 0.75. What is the value of x?
try this answer good luck
Answer:
Answer: 1/2
Step-by-step explanation:
Given : Figure B is a scaled copy of Figure A.
We know that the scale factor is the ratio of the corresponding sides of two similar figures.
From , the graph we assume that that one point = one unit of length.
Then, the dimension of one side of figure A = 4 units and the dimension of corresponding side of Figure B = 2.
Then, the scale factor is given by:
k = 2/4 = 1/2
Hence, the scale factor is 1/2
Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[tex]Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[/tex]
The largest x that satisfies
[tex]3x^2+17x+15=5[/tex]
is the largest solution to
[tex]3x^2+17x+10=0[/tex]
We have
[tex]3x^2+17x+10=(3x+2)(x+5)=0[/tex]
[tex]\implies x=-\dfrac23\text{ or }x=-5[/tex]
and so the largest value of x we want is -2/3.
Connie has saved up $15 to purchase a new CD from the local store. The sales tax in her county is 5% of the sticker price. Write an equation and solve it to determine the value of the highest priced CD Connie can purchase with her $15, including the sales tax. Round your answer to the nearest penny. (2 points) x − 0.05x = 15; x = $15.79 5x = 15; x = $3.00 x + 0.05x = 15; x = $14.29 0.5x = 15; x = $30
Answer:
[tex]x + 0.05x = 15[/tex], solution is $14.29
Step-by-step explanation:
We can create an equation for this scenario to try and solve it.
Assuming the cost of the CD is x, it’s sale tax will be 0.05x (as that is 5% of x, 0.05.)
We can write the equation in two ways:
[tex]x + 0.05x = 15[/tex] or [tex]1.05x = 15[/tex].
Assuming we take the second one (easier to work with), we can divide both sides by 1.05. The equation simplifies to x = 14.289... which rounds to x = 14.29.
Therefore, the equation is [tex]x + 0.05x = 15[/tex] and the solution is $14.29.
Hope this helped!
Answer:
x + 0.05x = 15; x = $14.29
Step-by-step explanation:
A woman bought a cup
of beans for 12 and sold it
for ₦15. What was her
percentage profit
Answer:
25 %Step-by-step explanation:
Given,
Cost price ( CP ) = 12
Selling price ( SP ) = 15
Since, CP < SP , she made a profit
Actual profit = SP - CP
plug the values
[tex] = 15 - 12[/tex]
Subtract the numbers
[tex] = 3[/tex]
Profit = 3
Now,
Profit percent = [tex] \frac{actual \: profit}{cost \: price} \times 100[/tex] %
Plug the values
[tex] = \frac{3}{12} \times 100[/tex] %
Calculate
[tex] = 25[/tex] %
Hope this helps...
Best regards!!
Answer:
25%
Step-by-step explanation:
Cost Price: ₦12
Selling Price: ₦15
Profit: ₦15 - ₦12 = ₦3
Profit Percentage = [tex]\frac{profit}{cost price}[/tex] × [tex]\frac{100}{1}[/tex]
Profit Percentage = [tex]\frac{3}{12}[/tex] × [tex]\frac{100}{1}[/tex]
Profit Percentage = [tex]\frac{1}{4}[/tex] × [tex]\frac{100}{1}[/tex] = 25%
Final Answer = 25%
Solve the system of equations algebraically. Verify your answer using the graph. y = 4x – 5 y = –3
Answer:
(1/2, -3)
Step-by-step explanation:
We have the following equations:
y = 4 * x - 5
y = –3
To solve algebraically, we must replace one equation in another, and we are left with:
-3 = 4 * x - 5
4 * x = 5 - 3
x = 2/4
x = 1/2
Therefore the solution is (1/2, -3)
Now, when we graph both equations, the solution would be the intercept between both graphs, attached corresponding image, the solution would be the same (1/2, -3)
help me out with a and b
i Will give brainliest and follow you back if you answer first.
Answer:
Step-by-step explanation:
A = {2,8,10,14}
B= {6,8,20}
C={8,18,20,24}
A ∩ B --> intersection means elements that are in both sets A & B
A ∩ B = {8}
A∩ C = {8}
B ∩ C = {8 , 20}
A∩B ∩ C = {8}
First blue box = { 2,10, 14}
Second blue box = {18, 24}
First green box = { 8}
Second green box = { 20}
b) A ∩ B = {8}
n [ A ∩ B] = 1
Probability of the number to be a member of A∩B = 1 / 25
the slope of the line below is -5 which of the following is the point slope form of the line (4,-8)
Answer:
y + 8 = -5(x - 4).
Step-by-step explanation:
In this case, y1 = -8, x1 = 4, and m = -5.
y - (-8) = -5(x - 4)
y + 8 = -5(x - 4).
Hope this helps!
Pls help really need help
Answer:
12*3*2=72
10*3*2=60
12*10*2=240
240+72+60=312+60=372
hope this helps
Step-by-step explanation:
Answer:
Answer is c 480 in2
Step-by-step explanation:
A paintball court charges an initial entrance fee plus a fixed price per ball. P represents the total price (in dollars) as a function of the number of balls used n P=0.80n+5.50 What is the price for 10 balls, not including the entrance fee?
Answer:
$8
Step-by-step explanation:
It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.
Answer:
$8
Step-by-step explanation:
assuming there are no reflection of diliations explain how you would write the equation of the function whose is stretched graph belowh
Answer:
Start with the parent function y=1/x^2
Add 3 to x in the denominator, because the graph is shifted left 3.
Add 1 to the fraction, because the graph is shifted up 1 unit
Step-by-step explanation:It is the answer 100% on assignment
TIME LIMIT
What is the measure of angle B in degrees?
Answer:
B∠119°
Step-by-step explanation:
Well first we need c.
And c + 112 = 180
So -112 is c = 68
68 + 51 + a = 180
68+51 = 119 + a = 180
a = 61
b + 61 = 180
b = 119
Is anyone good at probabiltiy??
Pls helppppp
In a school, 60% of the students take a foreign language class and 20% of
students take both foreign language and technology. What is the probability that a student takes technology given that the students takes foreign language?
Answer:
1/3
Step-by-step explanation:
Only 20% / 60% = 1/3 of the foreign language students take technology as well, therefore the probability would be 1/3.