Answer:
The length of BW is [tex]105\sqrt{2}[/tex], or about 148.49.
Step-by-step explanation:
For this problem, we will assume that the figure is a square. We will call the figure "Figure BOWL".
Because figure BOWL is a square, we know that the lengths of each sides of the square are equal, so the length of each side is 105.
Notice that the BW, OB, and WO make a triangle. We'll call it triangle BOW. Since figure BOWL is a square, we know that angle BOW is 90°, and so triangle BOW is a right triangle.
Since triangle BOW is a right triangle, we can solve for BW using the Pythagorean theorem, [tex]a^{2} + b^2 = c^2[/tex]. "a" and "b" are the legs of the triangle, while "c" is the hypotenuse of the triangle.
In triangle BOW, the legs are OB and WO, while the hypotenuse is BW.
Plug in the values for the equation and solve.
[tex]a^2 + b^2 = c^2[/tex]
[tex]OB^2 + WO^2 = BW^2[/tex]
[tex]105^2 + 105^2 = BW^2[/tex]
[tex]11,025 + 11,025 = BW^2[/tex]
[tex]22,050 = BW^2[/tex]
[tex]\sqrt{22,050} = BW[/tex]
We can either use the estimated value, or the exact simplified value of [tex]\sqrt{22,050}[/tex].
Here is the exact simplified value:
[tex]\sqrt{22,050} = \sqrt{25 * 882} = \sqrt{25 * 9 * 98} = \sqrt{25 * 9 * 49 * 2} = \sqrt{5^2 * 3^2 * 7^2 * 2} = (5 * 3 * 7)\sqrt{2} = 105\sqrt{2}[/tex]
BW = [tex]105\sqrt{2}[/tex]
For the estimated value, just use a calculator:
[tex]\sqrt{22,050}[/tex] ≈ 148.49
BW ≈ 148.49
Arquimedes, Euclides e Ptolomeu têm, juntos, R$ 1 990,00. Arquimedes possui R$ 190,00 a mais do que Euclides e esse, dispõe de R$ 120,00 a mais do que Ptolomeu. Determine quantos reais cada um deles possui.
Responder:
Ptolomeu = 520
Euclides = 640
Arquimedes = 830
Explicação passo a passo:
Deixar :
Quantidade que Ptolomeu tem = x
Quantidade de Euclides = x + 120
Quantidade que Arquimedes tem = x + 120 + 190
Valor total que todos eles têm = $ 1990
Portanto,
x + x + 120 + x + 120 + 190 = 1990
3x + 430 = 1990
3x = 1990 - 430
3x = 1560
x = 520
Ptolomeu = 520
Euclides = 520 + 120 = 640
Arquimedes = 640 + 190 = 830
can y’all help i’ll mark as brainlyest
Answer: 64
Step-by-step explanation: I think those are alternate interior angles so they should be congruent.
The width of a rectangle room is 80 percent of its length. WHat is the area of the room?
Answer:
180 squared ft
Step-by-step explanation
80% = 80/100 = 40/50 = 4/5
L = 15
W= 4/5 of 15 = 12
Area = LxW
Area = 15x12 = 180 squared ft
The price of 7-minute phone call is $.105 What is the price of 18 -minute phone call?
The price of 18-minute phone call is $
Answer:
$.27
Step-by-step explanation:
.105/7*18
Simplify the radical expression
[tex]\sqrt5+6\sqrt5[/tex]
Answer:
Step-by-step explanation:
These are "like terms," as both terms contain √5. We add the coefficients together but leave the radical term √5 as is:
√5
+ 6√5
-----------
7√5
Answer:
√5 +6√5= 7√5
Decimal: 15.65247...
The circumference of a circle measures 15.7 centimeters. What is the measure of its diameter?
a. 12 cm
c. 5 cm
b. 10 cm
d. 2.5 cm
Answer:
a
Step-by-step explanation:
SLFJ SDFNEFS LF A SF IE FJS VS IKF DSFNIS DSF
Answer:
40
Step-by-step explanation:
I think but what do you mean???!!!!
Write 2/8 in simplified form
Answer:
1/4
Step-by-step explanation:
because you basically divided by two on
Answer:
1/4 is the answer mark me brainliest
what is the answer to
This?
Answer:
y=23
Step-by-step explanation:
In the diagram, AE = x + 5, ED = 12, BE = x, and EC = 4. Solve for x.
PLS HURRY TIMED
Answer:
there is no img given
Step-by-step explanation:
pls mark as brainliest
Which expression is equivalent to 4/9 x 2
Answer:
4 × 2/9
Im sorry if I'm wrong
Answer:
4 × 2/9
Step-by-step explanation:
both equal 8/9
Rewrite the following equation in standard form. y = 2/5x
Answer:
2x - 5y = 0
Step-by-step explanation:
Can someone help please ?
Answer:
Step-by-step explanation:
12.8/2 = 96 / 2 = 48
the answer is the first one
have a nice day!Determine if the two expressions are equivalent and if so name the property that is being used.
52-(43-6) & (52-43) - 6
Answer: i really dont know
Step-by-step explanation: but 46
Plsss i need help boys and girls lol FRL :)
Answer:
The answer is D.
Step-by-step explanation:
Sci-Fi + Comedy = 60.
Other + Action = 59.
So, that makes it D.
Hope this helps. :)
how many 1/2 cups to make 3/4 of a cup?
We are required 1.5 half cups to form the required fraction of a cup.
What is a fraction?The upper part of a fraction is numerator and the lower part is denominator.
How to find the fraction?We are told to make 3/4 of a cup from1/2 of cup so let the number of times we need half of a cup be x
So
1/2 * x=3/4
x=3/2 which means 1.5
So we need 1.5 times the half cup to make 3/4 of a cup.
Learn more about fraction at https://brainly.com/question/78672
#SPJ2
Find the value of x for the right triangle.
trigonometric
Here's the solution,
The given triangle is a right angled triangle,
So, by Using Trigonometry :
=》
[tex] \sin(30) = \dfrac{x}{13} [/tex]
=》
[tex] \dfrac{1}{2} = \dfrac{x}{13} [/tex]
=》
[tex]x = \dfrac{13}{2} [/tex]
=》
[tex]x = 6.5[/tex]
hence, value of x = 6.5 units
What two whole ,postive numbers that have a one -digit answer ehen multiplies and a two digit answer when added
Answer:
The two positive whole number that have a one -digit answer ehen multiplies and a two digit answer when added are 9 and 1
Step-by-step explanation:
The two positive whole number that have a one -digit answer ehen multiplies and a two digit answer when added are 9 and 1
When 9 and 1 are added, we get 10 (two digit number)
When 9 and 1 are multiplied, we get 9 (one digit number)
What is the value of X?
Answer:
56
Step-by-step explanation:
You add 91 and 33 and you get 124. Subtract 180 and 124 to get 56.
56 because the 3 angles have to add up to 180. Please mark as brainliest. :)
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
pls help me ! (Links=report)
Answer:
WHeres the questionnn???????
Step-by-step explanation:
Part B at 10:00 a.m., lin's was 7 meters. Add this point to the graph
at 1:00 p.m., lin was at sea level. add this point to the graph.
Answer:
add a graph so we can help you
Step-by-step explanation:
Help plz this is due today
Answer:
All three are similar!
Step-by-step explanation:
If you get that right, follow Sammy Revv on Spotify!
Answer:
The three of them are similar.
Step-by-step explanation:
1- Triangle A and Triangle B have two same angles, 37° and 47°, which means the two angles are congruent. According to the Angle Angle Theorem (AA), in two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar.
2- First, place both triangles correctly. When you do it, you'll notice that 24≅12, 32≅16, and 9≅4.5:
24/12 = 2 ✓ 32/16 = 2 ✓ 9/4.5 = 2 ✓According to Side-Side-Side Theorem (SSS), if the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.
3- Here, the triangle shows in each one two different angles, sharing only one which is 55°. To know if they are congruent, you can add the two different angles that show both triangles, 72° and 53°, with the 55°. If it gives 180, it means the can be congruent:
55°+72°+53 = 180° ✓Solve for x. please i need know
Answer:
x = 18
Step-by-step explanation:
Vertically opposite angles are equal.
x + x + x + 90 = 144
3x + 90 = 144
Subtract 90 from both sides
3x = 144 - 90
3x = 54
Divide both sides by 3
x = 54/3
x = 18
Which of the following are
undefined?
f(g(0))
f(g(-1))
f(g(1/6))
g(f(-1))
g(f(1/2))
g(f(1/6))
Take a picture of the question and then post it so I can help
Answer:
B, D, F
Step-by-step explanation:
Edgen2021
15 ≥ z + 26
help pls lolololololololololololololollololololololololololololo
Answer:
[tex]z\leq -11[/tex]
Step-by-step explanation:
[tex]15 \geq z + 26[/tex]
[tex]-11 \geq z[/tex] Subtract 26 from both sides
[tex]z\leq -11[/tex]
Find the value of x. PLZZZ HELP MEEE
9514 1404 393
Answer:
128°
Step-by-step explanation:
End angles of a trapezoid are supplementary.
x° = 180° -52° = 128°
x = 128
Answer:
Solution :-According to the question
The supplementary theorem
x + 52 = 180
x = 180 - 52
x = 128⁰
Value of x is 128⁰
[tex] \\ [/tex]
The ratio x + y : x - y is equal to 2 : 1.
Write an equation for x in terms of y.
Answer:
x=3y
Step-by-step explanation:
ATQ
(x+y):(x-y)=2
or, x+y=2x-2y (crossmultiply)
or, 0= 2x-x-2y-y
or, x- 3y=0
or, x=3y is required equation
Find the Prime Factorization of 32, using the Factor Tree.
Answer:
32 = 2x2x2x2x2
Step-by-step explanation:
32 = 2 x 16
16 = 2 x 8
8 = 2 x 4
4 = 2 x 2
You invest $1,900 at 4% and it's compounded semi-annually (twice a year) for 3 years. How much will your $1,900 be worth in 3 years?
Answer:
FV= $2,139.71
Step-by-step explanation:
Giving the following information:
You invest $1,900 at 4% and it's compounded semi-annually (twice a year) for 3 years.
First, we need to calculate the semiannual interest rate:
Semmi-annual interest rate= 0.04 / 2= 0.02
To calculate the future value, we need to use the following formula:
FV= PV*(1 + i)^n
PV= $1,900
i= 0.02
n= 2*3= 6 semesters
FV= 1,900*(1.02^6)
FV= $2,139.71