the diagram shows a right-angle triangle.
Answer:
Step-by-step explanation
The shortest length of the right-angled triangle is 4 cm.
What is a right-angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angles is a right angle.
Given is, the diagram shows a right-angle triangle.
We have area of the right-angle triangle = 18 cm²
We know that area of a right-angle triangle = 1/2(base)(height)
18 = 1/2(x - 1)(x + 4)
36 = (x - 1)(x + 4)
x² + 4x - x - 4 = 36
x² + 3x - 4 = 36
x² + 3x - 4 - 36 = 0
x² + 3x - 40 = 0
x² - 5x + 8x - 40 = 0
x(x - 5) + 8(x - 5) = 0
x + 8)(x - 5) = 0
x = -8 or 5
we can only use positive numbers because length can't be negative,
Thus, x = 5
The shortest side is definitely one of the 2 legs. The hypotenuse of a triangle is the longest side.
Therefore,
height = x - 1 = 5 - 1 = 4 cm
base = x + 4 = 5 + 4 = 9 cm
Hence, the shortest length of the right-angled triangle is 4 cm.
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help me please , the question is in the picture .
Answer: 4.2x10^5=420000
Step-by-step explanation: its a positive five so you go in the positive direction from the decimal but if it was a negative you could go the other way (hope this helps)
Find two possible next terms of a sequence 2, 8, ____, ____ that is neither geometric nor arithmetic.
9514 1404 393
Answer:
one possible pair of next terms: 0, 1a second possible pair of next terms: 14, 32Step-by-step explanation:
The difference of these numbers is 6, so the next two terms of an arithmetic sequence would be 8+6 = 14, and 14+6 = 20.
The ratio of these numbers is 4, so the next two terms of a geometric sequence would be 8×4 = 32, and 32×4 = 128.
Any pair of numbers can be used that is not (14, 20) or (32, 128).
The next two terms could be 0 and 1, or they could be 14 and 32.
2, 8, 0, 1 . . . is a sequence of no particular type
2, 8, 14, 32 . . . is a sequence of no particular type
The manager of a garden store decides to hold a Buy 3, Get 1 Free sale on vegetable plants. The sale is held for one week and a total of 636
vegetable plants were sold (not including the ones given away for free). If each plant cost the store $2.90, how much money did the store lose
by giving away the free plants?
Answer:
the shop lost $922.20 by giving away free vegetable plants.
Step-by-step explanation:
you would start by dividing 636 by two to see how many free vegetable plants were given away.
636 / 2 = 318
this shows us how many free vegetable plants were given for free, so then to find how much money the store lost giving them away for free, you would multiply 318 by 2.9
318 x 2.9 = 922.2
Therefore the shop lost $922.20 by giving away free vegetable plants.
Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations?
They intersect at one point.
They intersect at two points.
They have the same slope.
They have the same y-intercept.
Answer:
They intersect at one point
Step-by-step explanation:
I took the test and got 100%
Answer:
They have to intersect at one point
Step-by-step explanation:
The league raised $1,560 through fundraisers. Trenton estimates the cost of buying jackets for each player in the league. He concludes that the league has raised enough money. Do you agree with Trenton? Explain.
Answer:
Step-by-step explanation:
Estimates are rough guesses based on current or previous prices. Therefore, it is impossible to conclude whether or not Trenton has actually raised enough money, especially if no actual price for the jackets has been provided. That being said an estimation is usually a close enough representation of the actual value, which would mean that the chances of having raised enough money (if that is what the estimates say) are pretty high.
Which of the following is part of the solution to the trigonometric inequality img included over the interval img included radians?
Answer:
C: pi/4<x<5pi/4
Step-by-step explanation:
I just did the test
The solution of the trigonometric inequality will be equal to π / 4.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
What is trigonometry?
The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given inequality is 3 - tanx ≥ 4 - 2tanx. The inequality will be solved as,
3 - tanx ≥ 4 - 2tanx
2tanx - tanx ≥ 4 - 3
tanx ≥ 1
tanx ≥ tan(π/4)
x ≥ (π/4)
Therefore, the solution of the trigonometric inequality will be equal to π / 4.
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Select the correct answer. Which equation, when solved, gives 8 for the value of x?
The 3rd equation, as if you solve for x as shown, you will end up with equation x=8.
[tex]\frac{5}{4}x-\frac{3}{2}x=-4+2[/tex]
[tex]\frac{5}{4}x-\frac{6}{4}x=-2[/tex]
[tex]-\frac{1}{4}x=-2[/tex]
[tex]x=8[/tex]
write the polynomial in standard form 3-3m+4m^{2} -1/2m^{6}
Answer:
[tex]3-3m+4m^2-\frac{1}{2} m^6[/tex]
Step-by-step explanation:
The cake store is having a 25 percent off sale on all of its cakes. If the cake you want reguarly cost 9$, how much would you save with the discount?
what is the interior of a decagon
Answer:
Decagon Definitions A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° 144 ° and they all add up to 1,440° 1,440 °.
Step-by-step explanation:
really hope this helps, Good luck ^w
Write each fraction in simplest form.
1) 4/8
2) 3/9
??
22
3) 9/12
??
4) 3/6
??
Step-by-step explanation:
1. 4/8=1/2
2.3/9=1/3
3.9/12=3/4
4.3/6=1/2
WILL GIVE BRAINLIEST
Select all the correct answers.
Which relations represent functions?
Answer:
First and third relations represent functions.
Step-by-step explanation:
First and third relations are one-to-one and many-to-one respectively, therefore these are functions.
Second and fourth relations are one - to - many, thus they are not functions.
Answer:
first and third
Step-by-step explanation: just took the test like 5 secs ago
Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?
Answer: y= 9
Step-by-step explanation:
Please help!! I’m stuck on this one haha
Answer:
Ready to help soon as we know what that "one" is
Answer:
hahaha where is the pic
Step-by-step explanation:
Notice that two line segments are formed on each transversal between the central parallel line and the outer parallel lines. Measure the lengths of the four line segments.
Answer:
Picture?
Step-by-step explanation:
Answer:
heres the picture
Step-by-step explanation:
Can you show me the answers step by step please?
Answer:
3490
Step-by-step explanation:
7 (3 - 0.5k) 3k - 5
Step-by-step explanation:
63k -10.5k square 2-5 and you have you answer
Please help me i'm not very good at math :))
Answer: (1, 5)
Explanation:
You really just have to input all the variables into the inequality and see if it is accurate.
(2, 4)
4 > 2(2) 4 > 4 no, it is equal to, not greater than
4 > 3 yes
(0, 3)
3 > 2(0) 3 > 0 yes
3 > 3 no, again, equal to
(4, 6)
6 > 2(4) 6 > 8 no
6 > 3 yes
(1, 5)
5 > 2(1) 5 > 2 yes
5 > 3 yes
a(b + c) = a • b + a • c, where a, b, and c are real numbers
Use the distributive property to simplify the expression.
8(3 + 4) = 24 +
Answer:
a(b + c) = a • b + a • c
=> 8(3 + 4) = 8.3 + 8.4 = 24 + 32
Step-by-step explanation:
Answer:
The answer for the blank is 32
Step-by-step explanation:
Which equation is equivalent to y – 6 = –12(x + 4)?
A. y = –6x – 48
B. y = 6x – 48
C. y = –12x – 42
D. y = –12x – 54
Answer:
Y-6 = -12 (x+4) Y = -12x - 48 + 6 Y = -12x - 42 answer is c
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[tex]y - 6 = - 12(x + 4)[/tex]
[tex]y - 6 = - 12x - 48[/tex]
Add sides 6
[tex]y - 6 + 6 = - 12x - 48 + 6[/tex]
[tex]y = - 12x - 42[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Identify each pair of angles as alternate interior, corresponding, alternate exterior, or none of these.
∠1 and ∠10
∠6 and ∠12
∠8 and ∠10
∠4 and ∠11
∠2 and ∠8
Step-by-step explanation:
Identification of given pairs of angles are as follows:
∠1 and ∠10: Corresponding angles
∠6 and ∠12: Alternate exterior angles
∠8 and ∠10: Alternate interior angles
∠4 and ∠11: Alternate interior angles
∠2 and ∠8: Alternate exterior angles
please help me in math
SAMB DOGRUS
4(2x-1)+3(2x+5)
4(2x - 1) + 3(2x+5)
Answer:
14x + 1
Step-by-step explanation:
4(2x-1)+3(2x+5) = 2x*4 - 1*4 + 2x*3 + 5*3
= 8x - 4 + 6x + 5
= 8x + 6x -4 + 5 {Combine like terms}
= 14x + 1
Write the equation in point-slope form
of the line that passes through the point
(4, -7) and has a slope of -1/4.
Answer:
first i know but idk then
Find the midpoint of the segment with the following endpoints.
(5,5) and (1,1)
Answer:
(3,3)
Step-by-step explanation:
x=(5+1)/2=3
y=(5+1)/2=3
to increase an amount by 19% multiple by?
Answer:
1.19
Step-by-step explanation:
The original full amount is 100%.
When you increase the full amount by 19%, you add 19% of the full amount to the full amount, so now you have 119%.
To find 119% of an amount, multiply he amount by 1.19 since 119% = 1.19
Answer: 1.19
Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent, how much will it cost her before tax to buy the blouse during the sale?
Given:
Original price of a blouse = $21.99
Sale = 25% off
To find:
The cost of blouse during the same before tax.
Solution:
Since Shelly's Boutique had a Labor Day sale featuring 25% off any item. It means price of each item in sale is 25% less than the original price.
[tex]\text{Price of blouse during sale}=21.99-25\%\text{ of } 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-\dfrac{25}{100}\times 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-0.25\times 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-5.4975[/tex]
[tex]\text{Price of blouse during sale}=16.4925[/tex]
Approximate the value to the nearest cent (2 decimal places).
[tex]\text{Price of blouse during sale}\approx 16.49[/tex]
Therefore, the cost of blouse during sale is $16.49.
Answer:
16.49
Step-by-step explanation:
Find three consecutive even integers suche
that one half of their sum is between 15
and 21.
9514 1404 393
Answer:
10, 12, 14 and maybe {8, 10, 12} and {12, 14, 16}, depending on the meaning of the question
Step-by-step explanation:
If x is the middle one, then their sum is 3x. You want ...
15 < 3x/2 < 21 . . . . assuming "between 15 and 21" does not include 15 or 21
30 < 3x < 42
10 < x < 14
The only even integer in that range is 12, so the three integers are ...
10, 12, 14 . . . . . half their sum is 18
__
We have used <, rather than ≤ in the above solution. This assumes that "between" does not include the values at the end of the range. If those values are included, then two additional solutions are possible: {8, 10, 12} and {12, 14, 16}. For the first set, the half-sum is 15; for the second set, the half-sum is 21.
EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP
Answer: its is 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation: