Answer:
[tex]h=6\\k=2.5\\n=3\sqrt{10}\\m=\sqrt{21}\\p=\sqrt{17}[/tex]
Step-by-step explanation:
All of the triangles in this problem are right triangles. This means that all of them contain a right angle, this is indicated by the box around one of the angles. The Pythagorean theorem is a property of the sides of a right triangle, this property, in the form of an equation, is as follows,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs, that is, the sides that are adjacent to the right angle of a right triangle. The parameter (c) represents the hypotenuse, the side opposite the right angle of a right triangle. For each triangle, substitute the given side lengths, simplify, and solve for the unknown side.
[tex](h)^2+(8)^2=(10)^2\\h^2+64 = 100\\h^2=36\\h=6[/tex]
[tex](k)^2+(6)^2=(6.5)^2\\k^2+36=42.25\\k^2=6.25\\k=2.5[/tex]
[tex](n)^2+(\sqrt{10})^2=(10)^2\\n^2+10=100\\n^2=90\\n=\sqrt{90}\\n=3\sqrt{10}[/tex]
[tex](m)^2+(2)^2=(5)^2\\m^2+4=25\\m^2=21\\m=\sqrt{21}[/tex]
[tex](p)^2+(\sqrt{68})^2=(\sqrt{85})^2\\p^2+68=85\\p^2=17\\p=\sqrt{17}[/tex]
What is the probability of rolling a number less than 4 on a number cube?
Step-by-step explanation:
3/6 is the answer to your question
what is the answer when you round 4186.666666666667 to nearst hundredth.
answer fast please in hurry needed. dont give explanation exact answer beeded.
45
24
K K
AM
51
이
15
17
15
이
8
15
O
8
17
음
Hope this help!!!
Have a nice day!!!!
3) -7x - 3x + 2 = -8x - 8
is 69,370 divisible by 8,4,6, or 10
Answer: 69370 is divisible by 10 only
Answer:
10
Step-by-step explanation:
if u divide by 8,4,6 you get decimal answer
Select the correct answer.
How would you write this expression as a sum or difference?
[tex]log_{3} (^{5\sqrt{x}} X y )[/tex]
Answer:
[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]
Step-by-step explanation:
Given
[tex]\log_{3} ({5\sqrt{x}} * y )[/tex]
Required
Write as sum or difference
Using addition law of logarithm, the equation becomes:
[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5\sqrt{x}) +\log_{3}( y )[/tex]
Expand
[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5 * \sqrt{x}) +\log_{3}( y )[/tex]
Apply addition law
[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]
What is cosθ = _____ based on this image
a)-3/5
b)-4/3
c)-4/5
d)-3/4
Explain how to solve this problem in your own words.
Answer:
3 m^8
Step-by-step explanation:
We know that a^b / a^c = a^( b-c) so using the quotient rule for exponents
3 * m^( 7 - -1)
3 *m^(8)
calculate 7.5cm in km
Answer:
7.5e-5
Step-by-step explanation:
convert 1/2 by decimal
Answer:
1/2
= 0.5
Step-by-step explanation:
this is very easy
A company gives a bonus to two salespeople, Miss Xu and Ms Trent, in the ratio of the
sales they make in January.
Miss Xu made sales of £24 000 in January.
Ms Trent made sales of £30 000 in January.
Use substitution to solve the
following system of equations.
2x + 4y = 12 AND x=y - 3
Answer:
The solution is (0, 3)
Step-by-step explanation:
First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.
Next, substitute y - 3 for x in the other equation:
y - 3 + 2y = 6, or
3y = 9
Then y = 3. Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.
The solution is (0, 3)
A motorboat takes five hours to travel two hundred miles going upstream. The return trip takes four hours going down stream. What is the rate of the boat in Stillwater and what is the rate of the current?
Answer: [tex]45\ mph[/tex], [tex]5\ mph[/tex]
Step-by-step explanation:
Given
A motorboat takes 5 hours to travel 200 miles upstream and 4 hours to go downstream
Suppose the speed of motorboat in still water and rate of current be x and y respectively.
during upstream
[tex]\Rightarrow 5=\dfrac{200}{x-y}\\\\\Rightarrow x-y=40\quad \ldots(i)[/tex]
During downstream
[tex]\Rightarrow 4=\dfrac{200}{x+y}\\\\\Rightarrow x+y=50\quad \ldots(ii)[/tex]
Add (i) and (ii) we get
[tex]\Rightarrow 2x=90\\\Rightarrow x=45\ mph[/tex]
[tex]\therefore y=5\ mph[/tex]
Thus, the speed of boat in still water is [tex]45\ mph[/tex] and rate of current is [tex]5\ mph[/tex]
Please answer :'<
What is the volume of this prism
a. 63.0 cubic units
b. 31.5 cubic units
c. 11.75 cubic units
d. 56.3 cubic units
Answer:
D. 56.3 cubic units
Step-by-step explanation:
To find the volume of a rectangular prism you use the formula v=l*w*h which means you multiply 5*3*3.75 to find your answer of 56.3 cubic units.
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
we know that
[tex]\sf{volume ~of~prism =l.w.h }[/tex]
According to the question,.
Volume=5×3×3.35Volume =15×3.35Volume =56.3 cubic unitA bag of cereal contains 12 blue marsh mellows, 16 red marshmellows , and 8 orange marsh mellows.If a marshmellow is picked from the bag at random, what is the probability that it is a red marsh mellow? Answers have been rounded to the tenths place.
Answer:
0.4 (decimal)
4/9 (fraction)
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability a red marshmallow is picked = number of red marshmallows in the bag / sum of marshmallows in the bag
sum of marshmallows in the bag = 12 + 16 + 8 = 36
Probability a red marshmallow is picked = 16/36
To transform to the simplest form. divide both the numerator and the denominator by 4
= 4/9
to convert to decimal, divide 4 by 9 = 0.4444
0.4 to the nearest tenth
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Decide whether there is enough information to prove that △WXZ≅△YZX using the SAS Congruence Theorem.
A: yes; Because ZW≅XY, ∠W≅∠Y, and WX≅YZ, the two triangles are congruent by the SAS Congruence Theorem
B: yes; Because ZW≅XY, ∠W≅∠Y, and ZX≅XZ, the two triangles are congruent by the SAS Congruence Theorem.
C: no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent sides.
D: no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included angles.
Answer:
B
Step-by-step explanation:
What is the solution to the system of equations
Answer:
Y = 2
X = 3
Step-by-step explanation:
Substitution:
6(4y-5) - y = 16
24y-30-y=16
23y=46
Y = 2
So then:
6x-2 = 16
6x = 18
X = 3
Florence invests £200 for two years at 5% compound interest paid yearly. Liam says that the interest that Florence will receive will be £20 is Liam right?
Answer:
No, Liam is wrong
Step-by-step explanation:
Amount invested by Florence = £200
Formula for compound interest = P * (1 + R / 100)^Time period
P = £200
R = 5%
Time period = 2
£200 * (1 + 5/100) ^ 2
=> £200 * 1.05^2
=>£200 * 1.1025
=> £220.5
So the interest = 220.5 - 220 = 20.5
20.5 ≠ 20
Therefore, Liam is wrong.
Hope it helps :)
Please mark me brainliest if my answer helped!
Look at the number line below. Write the letter for each fraction in the correct box.
Answer:
DCAB
I arranged in increasing order
Answer:
DCAB
Step-by-step explanation:
[tex]A = \frac{2}{5} = 0.40\\\\B= \frac{2}{3} = 0.66\\\\C= \frac{1}{4} = 0.25\\\\D =\frac{1}{10} = 0.10[/tex]
So moving from least to highest DCAB
Which of these mappings is a function? (PLEASEEE HELP MEEE)))
Step-by-step explanation:
creo..... que es la z ...
find the measure of angle c
Answer:
add 7+5 and 3+9 and then subtract both answers together and the answer you get should be the answer if the degree
Mrs. Archer is doing a painting project with her art class. She uses a large jug with 28.5 ounces of blue paint to fill 6 smaller bottles. If she divides the paint evenly, how much paint will be in each bottle?
Answer:
4.75
Step-by-step explanation:
Divide 28.5 evenly with 6 because thee are 6 bottles. Then you receive 4.75
Hope this helps
How many minutes will it take to bake 24 tortillas
Answer:
72 mins
Step-by-step explanation:
12 mins = 4 tortillas
1 tortilla = 3 mins
3x24=72
72 mins
Answer:
72 minutes
1 hour and 12 minutes
Step-by-step explanation:
[tex]\frac{4}{12}: \frac{24}{y}[/tex]
4 × y = 12 × 24
4y = 288
4y ÷ 4 = 288 ÷ 4
y = 72
What’s the answer Answer???
Answer:
B.
Step-by-step explanation:
I might have gotten this wrong but my mind was telling me it was B hope this helped.
Thanks for your time.
(>.<) <3 Kris
A linear function,f, has a slope of -2. F(1) =2 and f(2)=t. Find t
Answer:
t = 0
Step-by-step explanation:
[tex]slope = \frac{f(2) - f(1)}{2 - 1}[/tex]
[tex]-2 = \frac{t - 2}{1}\\\\-2 = t - 2\\\\t = 0[/tex]
What is the value of X in the figure below? In this diagram ∆ABD is similar to ∆CAD.
Answer:
F. 45/4Step-by-step explanation:
Corresponding sides have same ratio:
AB/AC = BD/ADFind AB:
AB = [tex]\sqrt{20^2-15^2} = 5\sqrt{7}[/tex]Find AD:
AD = √15²-x²Now the ratio:
5√7/15 = (20 - x)/√(15²-x²)√7 *√(225-x²)= 3(20 - x)7(225 - x²) = 9(20 -x)²7*225 - 7x² = 9(400 - 40x + x²)1575 - 7x² = 3600 - 360x + 9x²16x² - 360x + 2025 = 0(4x)² - 2*4x*45 + 45² = 0(4x - 45)² = 04x - 45 = 04x = 45x = 45/4Correct choice is F
Find the value of x in the equation below. 1=x -18
Answer:
x = 19
Step-by-step explanation:
1 = x - 18
1 + 18 = x
x = 19
5. The points (2, 4) and (6,7) lie on a line. What is the slope of the line? A. 2 B. 1 C. 4/3 D. 3/4
please help me answer this!!
Answer:
(x, y) = (10, 290)
Step-by-step explanation:
From the table
Total fees = fixed + variable
Fixed:
When number of times Ahmed mowed, x = 0
y = 40
When x = 2, y = 65
Rate of change = y2 - y1
= 65 - 40
= 25
y = 40 + 25x
Where,
y = total fees charged
40 = fixed fee
25x = variable fee
Total amount Ahmed will make for mowing 10 times
when x = 10
y = 40 + 25x
y = 40 + 25(10)
= 40 + 250
= 290
y = 290
(x, y) = (10, 290)
Please give me the answer and show me how you solved it
on number 5 question the answer is 4,5,9
Step-by-step explanation:
it is because a right triangle is composed of 3 different sides (hypothenus, opposite angle and adjacent angle)
Answer:
5) B. 10, 24, 26
6) k = 8.5
Step-by-step explanation:
5) The a and b in context of the triangle have to be greater than the hypotenuse. It can’t equal the hypotenuse. 10 + 24 = 34, 34 > 26 Therefore our answer.
6) Our equation: c = sqrt of a^2 + b^2
C = sqrt of 3^2 + 8^2
*A= 3 B = 8*
C = sqrt of 9 + 64
C = square root of 73
C = 8.54 or 8.5
Giving our answer:
You could always check by listing the values of each side:
A=3 B=8 C=8.5
3, 8, 8.5
And up A and B: 3 + 8 = 11
11 > 8.5
Proving this is a right triangle!
Btw sqrt means square root! ;)
Hope this helps, good luck! :)