Answer:
The length of the base will be: 17 m
Step-by-step explanation:
Given the area of the triangle
[tex]A=102\:m^2[/tex]
Using the formula of Area of a triangle:
[tex]A=\frac{1}{2}\left(b\times h\right)[/tex]
Here,
'b' is the base'h' is the heightAs the base of a triangle is 7 less than twice its height.
so
[tex]b=2h-7[/tex]
so the formula of Area of a triangle becomes
[tex]102=\frac{1}{2}\left(\left(2h-7\right)\times \:h\right)[/tex]
[tex]204=h\left(2h-7\right)[/tex]
[tex]2h^2-7h=204[/tex]
[tex]2h^2-7h-204=0[/tex]
[tex]\left(2h+17\right)\left(h-12\right)=0[/tex]
[tex]2h+17=0\quad \mathrm{or}\quad \:h-12=0[/tex]
[tex]h=-\frac{17}{2},\:h=12[/tex]
As height can not be negative, so:
[tex]h=12[/tex] m
Hence, the length of the base:
[tex]b=2h-7[/tex]
[tex]= 2(12)-7[/tex]
[tex]=24-7[/tex]
[tex]= 17[/tex] m
Therefore, the length of the base will be: 17 m
The drop down option for the least minimum is k,g,f,h & the maximum options are h,g,k,f
1 is the answer OR h
Help please!Find the y-intercept of the line on the graph.
Enter the correct answer.
Please answer C and D please ! I would love you forever !!!!
Answer:
First i need you to tell me the pattern and then i will help you :)
Step-by-step explanation:
-4/1
-1/0
2/1
5/2
8/3
or put then as ratios the same way i am not so sure
Answer:
Do you love me?
Step-by-step explanation:
Find at least one solution to the following equation:
sin(x
2 − 1)
1 − sin(x
2 − 1) = sin(x) + sin2
(x) + sin3
(x) + sin4
(x) + · · ·
For |x| < 1, we have
[tex]1+x+x^2+\cdots=\displaystyle\sum_{n\ge0}x^n=\frac1{1-x}[/tex]
We have |sin(x)| ≤ 1, with equality when x = ± π/2. For either of these, the right side of the equation does not converge, since it's either an infinite sum of 1s or an infinite alternating sum of 1 and -1.
So for |sin(x)| < 1, we have
[tex]\sin(x)+\sin^2(x)+\sin^3(x)+\cdots=\dfrac1{1-\sin(x)}-1=\dfrac{\sin(x)}{1-\sin(x)}[/tex]
so the equation is equivalent to
[tex]\dfrac{\sin(x^2-1)}{1-\sin(x^2-1)}=\dfrac{\sin(x)}{1-\sin(x)}[/tex]
One obvious set of solutions occurs when x = x² - 1 :
x² - x - 1 = 0 → x = (1 ± √(5))/2
i.e. the golden ratio φ ≈ 1.618 and 1 - φ ≈ 0.618.
Please help me, please
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] - 5 \: \: and \: \: 3[/tex]
Look :
[tex] - 5 + 3 = - 2[/tex]
[tex] - 5 \times 3 = - 15[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
-5 and 3
Step-by-step explanation:
because -5 + 3 = -2 and -5 X 3 = -15.
-5 is bigger in -5 + 3 so your answer would be negative.
and for the multiplication on use the sleeping dog - - + you have a negative and a positive so the answer would be negative.
1
A measuring tape measures distance to
2.0
or 0.5, of an inch. Which is
the most appropriate way to report a length measured using this
measuring tape?
A. 12.5 inches
B.12.49936 inches
C.13 inches
D. 12.49 inches
A
because with b you would be able to get that close of a measurement with a measuring tape c you don't round up that high and D is also too close to 12.5 to not round up
The science club went on a two-day field trip. On the first day, the members paid $60 for transportation plus $15 per ticket to the planetarium. On the second day, they paid $95 for transportation plus $12 per ticket to the geology museum. Write an expression to represent the cost for two days for the "n" members of the club.
Answer:
Total cost for two days for the n members of the club = 155 + 27 n
Step-by-step explanation:
Answer:
155
60+95=155. you have to take day one and add day 2 and there is your answer
rewrite in simplest terms. 8(-5d-9) -3(-6d+10)
Answer:
− 22 d − 102
Step-by-step explanation:
-4 - 2 (y + 1) = -7
step by step pla
Find the value of X that makes m||n Two parallel lines, m and n intersected by a transversal line. A pair of alternate exterior angle are marked left-parenthesis 4 x plus 24 right-parenthesis degrees and 8 x degrees.
Answer:
6Step-by-step explanation:
Given a pair of alternate exterior angle of 4x + 24 and 8x, we are to find the value of x that will make m and n parallel.
Alternate exterior angles are equal, hence;
4x + 24 = 8x
24 = 8x - 4x
24 = 4x
Rearrange
4x = 24
Divide both sides by 4
4x/4 = 24/4
x = 6
Hence the value of x required is 6
please answer this question
Answer:
x = 7 or x = -8
Step-by-step explanation:
3|2x + 1| = 45
Divide both sides by 3.
|2x + 1| = 15
Separate into a compound equation.
2x + 1 = 15 or 2x + 1 = -15
2x = 14 or 2x = -16
x = 7 or x = -8
Answer: A
Step-by-step explanation:
Yer welcome
6. Janet makes scarves to sell at the craft fair. Each scarf requires 2.5 yards of yarn. A. At the fabric store, yarn is sold by the foot. If Janet wants to make 84 scarves, how many feet of yarn must she buy?
Answer:
610 feet
Step-by-step explanation:
From the question :
1 scarf = 2.5 yards of yarn
84 scarves = x yards
Cross Multiply
1 scarf × x yards = 84 × 2.5 yards
x yards = 210 yards
Hence, 84 scarves require 210 yards
Converting yards to feet
1 yard = 3 feet
210 yards = x feet
x feet × 1 yard = 210 yards × 3 feet
x feet = 210 yards × 3 feet/1 yards
x feet = 610 feet
Hence, if Janet wants to make 84 scarves, she need to buy 610 feet of yarn
Solve for the value of y.
Answer:
y=6
Step-by-step explanation:
add both expressions together. 14y+6. Then set this equal to 90, because this is a 90 degree angle. Solve for y. 84=14y. y=6
Step-by-step explanation:
90= 6y+5+8y+1
14y=84
y=6
what is the inverse of R(x)= 2(4x)
Answer:
The inverse function is y=x−24 .
Step-by-step explanation:
PLEASE HELP
If triangle ABD similar to triangle EFG , find BC and FH. Options are in the picture ^^
Answer:
B. BC=12, FH=9
Step-by-step explanation:
no clue tbh but it worked
Find the measure of the arc indicated. The lines are tangent
Answer:
w
Step-by-step explanation:
please help me i would appreciate it greatly
Answer:
I would put B
Sorry if it's wrong I would have to know what the test is about to answer this
Step-by-step explanation:
PLEASE PLEASE HELP WILL GIVE A LOT OF POINTS!
Answer:
X-intercept- ( 3/7,0)
Y-intercept- (0,-3)
Step-by-step explanation:
To find the y-intercept(s), substitute in 0 for x and slove for y
y=7(0)-3
simplify y=-3
to find the x-intercept(s), substitute in 0 for y and slove for X
0=7x-3
rewrite equation- 7x-3=0 and slove
which would equal 3/7
3 mi
4 mi
What is the length of the hypotenuse?
miles
Submit
How many solutions does this equation have?
8(k - 6) +58 = 2(4k + 5)
infinite solutions
OA
Ов
Ос
no solutions
one solution
Answer:infinite solution
8(k - 6) + 58 = 2(4k + 5)
⇔ 8k - 48 + 58 = 8k + 10
⇔ 10 = 10
=> infinite solution
Step-by-step explanation:
A football is punted and follows a path from the line of scrimmage similar to the quadratic equation: y= -¹⁄₂₀ (x-25)² + 30 where x is the horizontal distance in yards and y is the height in yards. How far will the ball travel horizontally when it hits the ground after being punted?
A) 60 yards
B) 25 yards
C) 49.495 yards
D) .505 yards
Zayd can row 3/8 of a mile in 1/4 of an hour. What is the unit rate the describes the miles per hour?
Answer:
1.5mph
Step-by-step explanation:
Given parameters:
Distance sailed = [tex]\frac{3}{8}[/tex]miles
Time taken = [tex]\frac{1}{4}[/tex]hr
Unknown:
Unit rate of sail in miles hour = ?
Solution:
This is also the speed of the sail. It is the distance divided by time taken.
Speed = [tex]\frac{distance}{time}[/tex]
Speed = [tex]\frac{\frac{3}{8} }{\frac{1}{4} }[/tex]
Speed = [tex]\frac{3}{8}[/tex] x 4 = 1.5mph
what is 7-(2x+1)+4x simpilist form
If h(x) = [tex]\frac{2x+7}{x}[/tex] find [tex]h^{-1} (x).[/tex]
Answer: The answer is [tex]h^{-1}(x)=-\frac{7}{2-x}[/tex]
Step-by-step explanation: You meant to say that I was finding the inverse, so to find the inverse, interchange the variables and solve for y.
Plz help very important question
9514 1404 393
Answer:
g(2a) = 8a
Step-by-step explanation:
Put the argument where the variable is and simplify.
g(a) = 4a
g(2a) = 4(2a) = 8a
g(2a) = 8a
Four years ago, Sam invested in Grath Oil. She bought three of its $1,000 par value bonds at a market price of 93.938 and with an annual coupon rate of 6.5%. She also bought 450 shares of Grath Oil stock at $44.11, which has paid an annual dividend of $3.10 for each of the last ten years. Today, Grath Oil bonds have a market rate of 98.866 and Grath Oil stock sells for $45.55 per share. Use the scenario above to consider which statement best describes the relative risk between investing in stocks and bonds.
Answer:
C. The market price of the bonds is more stable than the price of the company's stock.
Step-by-step explanation:
In the context, Sam bought some bonds at the market price from Grath Oil and also invested in buying corporate shares which paid a dividend of $3.10 for each share annually for a period of ten years.
At present the market value of the bonds of Grath Oil is more. The market price of the bond is the amount of the money to be paid in an open market to buy a bond.
So the bond's market price is much more stable than the price of the company's stock. It is riskier to invest in company stocks.
Answer:
ik you dont need it no mo but its c
Step-by-step explanation:
i just want the points
which is greater 5.8 or fifty eight hundreds
Answer:5.8
Step-by-step explanation:
Answer:
The answer is fifty eight hundreds. This is because it is the same as 5800.
Step-by-step explanation:
If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!
Saturday morning, 55% of the customers at The Gap spent over $50. If there were 300 customers at The Gap that morning, how many of them spent more than $500 ?
Answer:
165 customers spent more than $500.
Step-by-step explanation:
If you ment to put $500 for both, then you have to multiply 300 by 55%. This will give you 55% of 300 which is the amount of people that spent more than $500. You multiply them to get your answer.
Evaluate the expression 3x for x = 7
Answer:
3(7)
the answer is 21
Step-by-step explanation:
Answer:
the answer is 21.
plz help on this one
Answer:
60°
Step-by-step explanation:
Because of the rule that all triangle's angles must measure to 180°.
So I did...
60+60=120
180-120= 60
Answer
60 degrees
Step-by-step explanation:
A triangle is 180 degrees. So if you add both 60 degrees it would equal 120, substracted by 180 and you'll get 180. Or if you want to go the faster way, remember that a triangle will equal 180.