Let's solve by using Pythagoras theorem,
[tex] \hookrightarrow \: (10) {}^{2} = {(x})^{2} + (x + 2) {}^{2} [/tex]
[tex] \hookrightarrow \: 100 = {x}^{2} + {x}^{2} + 4x + 4[/tex]
[tex] \hookrightarrow \: 100 - 4 = 2 {x}^{2} + 4x[/tex]
[tex] \hookrightarrow \: 96 = 2 {x}^{2} + 4x[/tex]
[tex] \hookrightarrow \: 2 {x}^{2} + 4x - 96 = 0[/tex]
[tex] \hookrightarrow \: 2( {x}^{2} + 2x - 48) = 0[/tex]
[tex] \hookrightarrow \: {x}^{2} + 2x - 48 = 0[/tex]
[tex] \hookrightarrow \: {x}^{2} + 8x - 6x - 48 = 0[/tex]
[tex] \hookrightarrow \: x(x + 8) - 6(x + 8) = 0[/tex]
[tex] \hookrightarrow \: (x + 8)(x - 6) = 0[/tex]
now there are two cases
Case 1 : when (x + 8) = 0
[tex] \hookrightarrow \: x + 8 = 0[/tex]
[tex] \hookrightarrow \: x = - 8[/tex]
but the value of x can't be negative, since side of a triangle isn't a negative value .
Case 2 : when (x - 6) = 0
[tex] \hookrightarrow \: x - 6 = 0[/tex]
[tex] \hookrightarrow \: x = 6[/tex]
therefore the measure of other two sides are :
[tex] \hookrightarrow \: x = 6 \: units[/tex]
[tex] \hookrightarrow \: x + 2 = 6 + 2 = 8 \: units[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \mathrm{TeeNForeveR } [/tex]
78. How long will it take a car travelling at an
average speed of 40 mph to cover a distance of
304 miles?
Time = distance / speed
Time = 304 miles / 40 mph
Time = 7.6 hours ( 7 hours and 36 minutes)
A hotel has a total of 7 floors if there are 35 standard rooms on each floor how many standard rooms are there
Answer:
245 is the answer if you do the math easy
COME ON HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP LOSING POINTSS HERE!!!!!
Answer:
The 1st one for the first pic and I'm not sure but c for the 2nd one
Answer:
a and c
Step-by-step explanation:
4. Order the sides of each triangle from shortest to longest.
X
85°
41°
54°
W
V
1. Longest
a.
VW
2. Middle
b. WX
3. Shortest
XV
c.
Answer:
XV < XW < WV
Step-by-step explanation:
The side lengths are proportional to angles they see
The side that sees the largest angle has longest measurement and the one that sees smallest angle would be shortest therefore we can order sides from shortest to longest like this :
XV < XW < WV
What Is The Area Of The Rectangle: 145, 187. I AM COMPLETELY DESPRATE
Answer:
27115
Step-by-step explanation:
145 x 187 = 27115
Which is better to buy? 4-foot piece of ribbon for $7.68 or 544-inch piece of ribbon for $65.28
Answer:
4 foot ribbon
Step-by-step explanation:
Answer:
544
Step-by-step explanation:
$7.68 x 540 = 4,147.2
Jdndndnd d dndndnd d s w w wbeneneheh
Answer:
17
Step-by-step explanation:
If L and M are parallel then the angles will add up to 180 (a straight line), so:
6x+8+4x+2=180
10x+10=180
10x=170
x=17
Can someone please help me please?
Answer:
I think option A is right answer
Use the distributive property to rewrite this expression.
2(a +3)
Answer:
2a+6
Step-by-step explanation:
you distribute the 2 to the variable A and number 3. since a variable and a constant cant be combined, your left with 2a+3
20+8
100+75
49+28
32+24
DRAG & DROP THE ANSWER
8(4+3)
25(3+4)
7(7+4)
4(5+2)
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
20 + 8
4(5 + 2)
100 + 75
25(4 + 3)
49 + 28
7(7 + 4)
32 + 24
8(4 + 3)
Answer:
Ans; 8 +20 —> 4(2+5)
Ans; 75+100 —> 25(4+3)
Ans; 28+49 —> 7(4+7)
Ans; 24+32 —> 8(3+4)
I hope I helped you^_^
c-5=10 ans plz......
Step-by-step explanation:
c-5=10c=10+5c=15hope it helps.stay safe healthy and happy..Answer:
[tex]c = 5[/tex]
Step-by-step explanation:
[tex]c - 5 = 10 \\ c = 10 + 5 \\ c = 15[/tex]
Hope it is helpful.... Please simplify 6p-2q+4r-2p+3s+5q
Answer:
[tex]6p - 2q + 4r - 2p + 3s + 5q[/tex]
group the like terms together:
[tex] = (6p - 2p) + ( - 2q + 5q) + 4r + 3s[/tex]
simplify:
[tex] = { \boxed{ \boxed{4p + 3q + 4r + 3s}}}[/tex]
\lim_(x->0)(cos2x)^((3)/(x^(2)))
Answer:
ffffgggghhhuukufgnjsdhn
Answer:
∞
Step-by-step explanation:
since cos(0) = 1, you have 1/0
Use the numbers 0 - 9 in the blanks to make the equations true
Answer:
what blanks
Step-by-step explanation:
Write the given expression without the absolute value symbol.
|x − y| − |y − x|
Answer:
- x - 2y
Step-by-step explanation:
x - y - y - x
- x - 2y
A sailboat took 1/3 of an hour to travel
10 miles. At the same pace, how many
hours would the sailboat take to travel
120 miles?
Answer:
4 hours
Step-by-step explanation:
if 1/3 of an hour = 10 miles
You need to get it to 120 miles.
120/10 = 12
And 12 x 1/3 = 4
h/5-h(k+j) use h=5, j=3, and k=7
h/5 - h(k + j) => 5/5 - 5(7 + 3)
5/5 - 5(7 + 3)
1 - 5 × 10
1 - 50 = -49
[tex]\text{h}=5 \ \text{and} \ \text{j}=3 \ \text{and} \ \text{k}=7\\\\\frac{\text{h}}{5}-\text{h}(\text{k}+\text{j})=\frac{5}{5}-5\cdot(3+7)=1-5\cdot10=1-50=\boxed{-49}[/tex]
Anyone know how to do this
Answer:
A B C D E MIGHT BE UR ANSWER
a) (-63) ÷ (-9)
b) (+72) ÷ (-8)
Answer:
A. +7
B. - 9
Hope this help you
b.) Mark can run 5 blocks in 25 minutes. How many minutes does it take him to run 22 blocks?
Answer:
110 minutes or 1 hour and 50 minutes
Step-by-step explanation:
First, find out how long it takes Mark to run 1 block. You can find out how long it takes for him to run 1 block by dividing 5 from 25, which is 5. Then, multiply 5 times 22 because you are trying to find out how long it takes Mark to run 22 blocks. It takes Mark 110 minutes or 1 hour and 50 minutes to run 22 blocks.
Answer:
Mark can run 22 blocks in 110 minute
Step-by-step explanation:
Given
Blocks Time
5 25
22 (?)=x
now,
or, 5×x=25×22
or, 5x=550
or, x= 550/5
therefore, x= 110
Mark can run 22 blocks in 110 minute
Need helpppppppppopo
Answer:
below
Step-by-step explanation:
*Not sure how your teacher wants you to round this, but here is how I do it
All you need to do to find the decimal form of a fraction is to take the numerator and divide it by the denominator :
2 / 3 = 0.6666666.... and keeps going
= 0.67
To convert this decimal to percentage just multiply it by 100 :
0.67 x 100 = 67 %
Hope this helps! Best of luck <3
A softball team has a budget of $200 for visors they athletic Director pays $90 for 12 visors is there any money in the budget to purchase 15 more sunvisors
Answer:
No. There is not enough money in the budget to buy 15 more sunvisors. The softball team's budget is short by $2.50.
Step-by-step explanation:
If the director pays $90 for 12 visors, then we need to calculate the price of each visor to find out if the director can buy 15 more.
[tex]90/12= 7.50[/tex]
90 divided by 12 = $7.50 per sunvisor.
The budget is $200, so now we need to multiply 15 by 7.50.
[tex]15*7.50=112.50[/tex]
Then you add the product of that to the $90 spent previously.
[tex]90+112.50=202.50[/tex]
And the answer is No. There is not enough money in the budget to buy 15 more sunvisors. The softball team's budget is short by $2.50.
is 6.224398 rational or irrational?
Answer:
Technically, it's rational because it is definite and has an end
Step-by-step explanation:
Question 6
1 pts
Write the equation of a line through (-5,-5), parallel to y=
Oy=
- 1
O y=-x+4
O y=4x-1
O y=-x-1
Question 7
1 pts
Answer:
first one
[tex]y=\frac{4}{5}x-1[/tex]
Step-by-step explanation:
It's the same as the given function, just with a 1 unit shift downward.
Is (1,3) a solution of y = 3x2?
I need your hlep now!!! this is due tomorrow
Answer:
6. -200+75= -125
7. -40+-17= -57
8. 6+-9= -3+7=4+-5= -1
5+3=8+-6= 2
11+-12= -1+-3= -4+4=0
Correct answer: Cory goes first
Step-by-step explanation:
-n - 6n + 4 = 53
How do I solve this
Answer:
[tex] - n - 6n + 4 = 53 \\ \\ - n - 6n = 7n \\ \\ 7n = 53 - 4 \\ \\ \ \\ 7div 7n = 49 \div 7 \\ \\ n = 7[/tex]
Whoever answer it right gets brainlist
Answer:
multiply 8x4
Step-by-step explanation:
Answer:
36 tiles
Step-by-step explanation:
Since there is 1 extra tile on each side of the 8x8 pool, we can say that the entire area of the picture is 10x10.
Subtracting 8x8 from 10x10 we get
(10x10) - (8x8) = ?
100 - 64 = 36
36 tiles are around the 8x8 pool
Get it right I promise I will give brainlist answer ASAP
I hope it helps. I hope it helps
Answer:
12 unit
I hope it helps
A woman paid $28 per a dress. She bought 6 dresses. How much money did the woman spend on dresses?
explanation
Answer:
$168
Step-by-step explanation:
28x6
= 168
Answer:
$168
Step-by-step explanation:
I'm not sure if there are any other factors I need to add, such as tax, but as the question is written 28*6=168.
