Answer:
The answer is 6.32
Step-by-step explanation:
According to the Altitude Geometric Mean Theorem, the length of the altitude of a triangle is the geometric mean of the lengths of the 2 segments is divides the hypotenuse into.
CD= Altitude
CD^2= 4 times 10
or
CD= The square root of 4 times 10
Square root of 4 times 10 is 6.3245553203
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of CD is 6.32 units. The correct option is C.
What are Similar figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
In ΔBDC and ΔABC, the two angles are given,
∠D = ∠C = 90°
∠B = ∠B {Common}
Therefore, the two triangles are similar triangles, thus, the ratio of the sides can be written as,
CB / AB = CD / AC = DB / CB
Now, the ratio can be solved as,
CB / AB = DB / CB
CB / 14 = 10 / CB
CB² = 14 × 10
CB = √140
Further, in triangle ABC using the Pythagorean theorem, we can write,
AB² = CB² + AC²
14² = (√140)² + AC²
196 - 140 = AC²
AC = √56
Again, using the ratio of the similar triangle, we can write,
CD / AC = DB / CB
CD / √56 = 10 / √140
CD = (√56 × 10)/√140
CD = 6.32 units
Hence, the length of CD is 6.32 units.
Learn more about Similar Figures:
https://brainly.com/question/11315705
#SPJ5
The initial condition for a one-dimensional transient conduction problem is the specification of:_______.
A. the time at which the solution to the problem starts.
B. the properties at the start of the solution.
C. the temperature at the initial time throughout the domain.
D. None of the above
Answer:
C
Step-by-step explanation:
if a bag of rice weighs 55 kg find the weight of 123 bags of rice
Answer:
6765
Step-by-step explanation:
the answer is 6765
Answer: 6,765 kg
Step-by-step explanation:
55 x 123 = 6,765kg of Rice
The distance by road from town A to town B is 257 km. What is 50% of that distance?
Answer: 128.5km
Step-by-step explanation:
Since we are given the information that the distance by road from town A to town B is 257 km. To get 50% of the distance, we simply have to multiply the distance given by 50%. This will be:
= 50% × 257km
= 50/100 × 257km
= 0.5 × 257km
= 128.5km
Therefore, 50% of the distance is 128.5km.
A surveyor asks people whether or not they support their senator's vote on a bill. Choose the type of data that is collected. Group of answer choices quantitative qualitative neither quantitative nor qualitative Not enough information is given
Answer:
Quantitative data
Step-by-step explanation:
The type of data collected when a surveyor asks people whether or not they support their senator's vote on a bill is "quantitative data."
Quantitative data is a type of research data that can be calculated, measured, and formulated using numbers. It is derived using quantitative research, which allows the researcher to gather and analyze data.
Hence, in this case, the surveyors will gather the data based on two groups, those that support the senator's bill and those against it. He will then compare the quantitative numbers gotten from each group.
Plz help me well mark brainliest if correct.....????????
Answer:
Step-by-step explanation:
31 , b/c it's the most common
c 32
Step-by-step explanation:
plz follow me wenelyn andoyo duay sana makatulong ako
need it asap please!!!!
Answer:
they are rational numbers
The zeros of a parabola are 6 and -5. If (-1, 3) is a point on the graph, which equation can be solved to find the
value of a in the equation of the parabola?
O3 = a(-1 + 6)-1-5)
O 3 = a(-1-6)(-1 +5)
O -1 = a(3+6)(3-5)
O-1 = a(3-6)(3+5)
Answer:
3 = a(-1-6)(-1+5).
Step-by-step explanation:
y = a(x - 6)(x + 5)
When x = -1, y = 3 so we have:
3 = a(-1-6)(-1+5).
Click on the area of the square?
Answer:
The answer for this question is 64 square centimeters
Step-by-step explanation:
To find the area of square , the formula is :
side × side , so in this question we should do 8×8 , since one of the side is 8 cm .
8×8 = 64
Thus the answer of your question is 64
—————————————————
[tex]\mathrm{A = s²}[/tex]
[tex]\mathrm{A = (8 \: cm)²}[/tex]
[tex]\mathrm{A = (8 \: cm)(8 \: cm)}[/tex]
[tex]{\boxed{\mathrm\green{A = 64 \: cm²}}}[/tex]
༆ANSWER:—————————————————
[tex]\purple{\boxed{\boxed{\tt\pink{64 \: square \: centimeters}}}}[/tex]
Hence, the area of the square that has a side of 8 cm, is 64 cm².Remember!To find the area of a square, just use the formula "A = s²".Solve for x. Assume that lines which appear tangent are tangent.
CAN YALL HELP ME ASAP
Answer:
48
Step-by-step explanation:
By intersecting tangent and secant theorem:
[tex]27(27 + x) = {45}^{2} \\ 729 + 27x = 2025 \\ 27x = 2025 - 729 \\ 27x = 1296 \\ x = \frac{1296}{27} \\ x = 48[/tex]
multiply 9 with 3.4? what will be the answer
PLEASE HELP ME FAST
[tex]\boxed{30.6}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]9 \times 3.4 \\ = 30.6[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
At an auditorium, 3 1/2 sections are filled with people watching a play. Exactly 3/5 of the people watching the play are parents. What fraction of the sections are filled with parents?
Answer:
Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section
Step-by-step explanation:
Given:
Total number of sections filled = 3¹/₂ = 7 / 2 sections
Number of fraction parents watching play = 3/5
Find:
Fraction[Total number of sections filled filled with parents]
Computation:
Fraction[Total number of sections filled filled with parents] = Total number of sections filled x Number of fraction parents watching play
Fraction[Total number of sections filled filled with parents] = [7/2] x [3/5]
Fraction[Total number of sections filled filled with parents] = 21 / 10 sections
Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section
A study records the lengths of pregnancy (in days) of 500 women. The data is normally distributed with a mean of 266 days and a standard deviation of 16 days. How many women in the study had a pregnancy between 250 days and 282 days in length?
Answer:
371 women had their pregnancy between 250 days and 282 days in length.
di po ako sure sa answer ko, but it is based on what I remembered.
Step-by-step explanation:
z=532-266
16
√500
= 371.74 or 371
PLS HELP
a) What is the equation of line A
b) What is the equation of line B
Answer:
The equation of a line A:x=4The equation of a line B:y=8Step-by-step explanation:
i hope this helps u have a nice day .✌❤☘Round 27346 to 2 significant figures i need a step by step expansion
Answer:
27000
Step-by-step explanation:
We want to round 27346 to 2 significant figures.
Now, the number already has 5 significant figures, so to reduce it to 2 sig figures, we will have to reduce the 3 digits from the right to zero so that we can have just 2 significant figures by approximating.
Thus, 3 is less than 5 and so 7 cannot increase. Thus, we will have 27000 as the number when reduced to 2 significant figures.
A triangle has side lengths of
[tex] \sqrt{125} [/tex]
[tex] \sqrt{5} [/tex]
[tex] \sqrt{20} [/tex]
What is the perimeter of the triangle?
[tex]4 \sqrt{5} [/tex]
[tex]6 \sqrt{5} [/tex]
[tex]8 \sqrt{5} [/tex]
none of the answers are correct
Answer:
3 is the right one
Step-by-step explanation:
Simple math you know
a box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides. let x represent the lenght pf the sides of squares removed from each corner.
What are the factors of this polynomial?
Step-by-step explanation:
Given that,
A box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides.
Let x represent the length of the sides of squares removed from each corner.
(a) The volume of a cuboid is given by :
V = lbh
Put values,
V = x(40-2x)(40-2x)
(b) (40-2x) = -2(x-20)
So,
V = x(40-2x)(40-2x)
= [tex]4x\left(x-20\right)^2[/tex]
(c) [tex]4x\left(x-20\right)^2=4x^3-160x^2+1600x[/tex]
It is a cubic polynomial. Its degree is 3.
Plsss help me
what is 1 1/2 divided by 2/5? Show your work.
Answer:
3.75 or 3 3/4
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
1.5/.4=3.75
Answer:
[tex]3 \frac{3}{4}[/tex]
Step-by-step explanation:
[tex]1 \frac{1}{2} / \frac{2}{5} = \frac{3}{2} / \frac{2}{5}[/tex]
[tex]\frac{3}{2}[/tex] × [tex]\frac{5}{2}[/tex]
[tex]\frac{3 times 5 }{2 times 2}[/tex]
[tex]\frac{15}{4} = 3 \frac{3}{4}[/tex]
Solve the problem. An experiment consists of randomly choosing a number between 1 and 10. Let E be the event that the number chosen is even. Assuming that each of the numbers between 1 and 10 is equally likely to be chosen, find P(E).
A) .5
B) .8
C) .1
D) .2
Answer:
A.
Step-by-step explanation:
1. the required probablilty is: P=(number_of_even_numbers)/(number_of_all_the_numbers);
2. according the condition the number of all the numbers is 10; the number of even numbers is 5 (they are: 2; 4; 6; 8; 10), then
3. P=5/10=0.5 (option 'A').
If P is inversely proportional to Q and if pad when Q = 4. Find the value
of when Q = 3.
A) 7 B) 6 C) 12
Answer:
8
Step-by-step explanation:
If p is inversely proportional to Q and P is 6 when q = 4, then;
p = k/q
6 = k/4
k = 6*4
k = 24
To get P when q = 3
Recall;
p = k/q
p = 24/3
p = 8
Hence the required value of p is 8
Note that the value of initial Q was assumed
I need help with this three problems (with procedure)
Answer:
13. [tex]x^{3} y^3[/tex] cubic units
14. 43 million; 79 million; 3.6 × [tex]10^7[/tex]
15. 2.68 × [tex]10^5[/tex]
Step-by-step explanation:
Find the sum sn of the arithmetic sequence a7=14/3 d=-4/3 n=15
Answer:
[tex]S_{15}= 50[/tex]
Step-by-step explanation:
Given
[tex]a_7 = \frac{14}{3}[/tex]
[tex]d = -\frac{4}{3}[/tex]
[tex]n = 15[/tex]
Required
The sum of n terms
First, we calculate the first term using:
[tex]a_n = a + (n - 1)d[/tex]
Let [tex]n = 7[/tex]
So, we have:
[tex]a_7 = a + (7 - 1)d[/tex]
[tex]a_7 = a + 6d[/tex]
Substitute [tex]a_7 = \frac{14}{3}[/tex] and [tex]d = -\frac{4}{3}[/tex]
[tex]\frac{14}{3} = a + 6*\frac{-4}{3}[/tex]
[tex]\frac{14}{3} = a -8[/tex]
Collect like terms
[tex]a =\frac{14}{3} +8[/tex]
Take LCM and solve
[tex]a =\frac{14+24}{3}[/tex]
[tex]a =\frac{38}{3}[/tex]
The sum of n terms is then calculated as:
[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]
Where: [tex]n = 15[/tex]
So, we have:
[tex]S_n = \frac{15}{2}(2*\frac{38}{3} + (15 - 1)*\frac{-4}{3})[/tex]
[tex]S_n = \frac{15}{2}(2*\frac{38}{3} + 14 *\frac{-4}{3})[/tex]
[tex]S_n = \frac{15}{2}(2*\frac{38}{3} - 14 *\frac{4}{3})[/tex]
[tex]S_n = \frac{15}{2}(\frac{2*38}{3} - \frac{14 *4}{3})[/tex]
Take LCM
[tex]S_n = \frac{15}{2}(\frac{2*38-14 *4}{3})[/tex]
[tex]S_n = \frac{15}{2}(\frac{20}{3})[/tex]
Open bracket
[tex]S_n = \frac{15*20}{2*3}[/tex]
[tex]S_n = \frac{300}{6}[/tex]
[tex]S_n = 50[/tex]
Hence,
[tex]S_{15}= 50[/tex]
Warner was paid $375.25 for working 25 hours. What was his hourly pay?
Answer:
$15.01 an hour
Step-by-step explanation:
[tex]\frac{375.25}{25}=15.01[/tex]
Last year, a French restaurant used 792,800 ounces of cream. This year, due to a menu
update, the restaurant used 673,880 ounces of cream. By what percentage did the
restaurant's annual cream usage decrease?
PLEASE HELPPPP MEEEEE, JUSTFIY PLZZ
Answer:
a. Unsure
b. True
c. Unsure
d. True
A - False
B - True
C- False
D- True
Emiko makes shibori scarves and sells them for 48 each on a website for hand made goods the expression 48s represents the total price of buying s scarves.
Answer:
Step-by-step explanation:
true
1. number of scarves
2. price per scarf
Step-by-step explanation:
Lines A and B are parallel
A
1/2
3/125°
B
5/6
7/8
m 6 = [ ?]
==============================================
The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.
Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.
x+125 = 180
x = 180-125
x = 55
------------
Or you could approach it this way:
y = measure of angle 2
y+125 = 180
y = 55
angle 6 = angle 2 (corresponding angles)
angle 6 = 55 degrees
-------------
Yet another way you could solve:
z = measure of angle 3
z+125 = 180
z = 55
angle 6 = angle 3 (alternate interior angles)
angle 6 = 55 degrees
A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55
Find the quotient of z1 by z2. .Express your answer in trigonometric form.
Answer:
[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]
Step-by-step explanation:
Given
[tex]z1 = 12(cos(320^o) + isin(320^o))[/tex]
[tex]z2 = 4(cos(80^o) + isin(80^o))[/tex]
Required
[tex]Quotient = \frac{z_1}{z_2}[/tex]
We have:
[tex]Quotient = \frac{12(cos(320^o) + isin(320^o))}{4(cos(80^o) + isin(80^o))}[/tex]
Divide 12 by 4
[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]
Solve using the following rule:
[tex]\frac{(cos(a) + isin(a))}{(cos(b) + isin(b))} = \cos(a - b) + isin(a - b)[/tex]
So, we have:
[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]
[tex]Quotient = 3(cos(320^o-80^o) + isin(320^o-80^o))[/tex]
[tex]Quotient = 3(cos(240^o) + isin(240^o))[/tex]
Hence:
[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]
write each verbal phrase as an algebraic expression.
1. the sum of 8 and t
2. the quotient of g and 15
3. the product of 5 and b
4. the difference of 32 and x
Answer:
1. 8 + t
2. g/15
3. 5b
4. 32 - x
Step-by-step explanation:
1. the sum of 8 and t
8 + t
2. the quotient of g and 15
g/15
3. the product of 5 and b
5b
4. the difference of 32 and x
32 - x
FREE BRANLEIST URGENT WITH EQUATION!! WILL REPORT AND GET BANNED IF LINKS AND INCORRECT ANSWERS
Answer:
ok so a it' probabily 21 or a number between 1-10
Step-by-step explanation:
Answer:
q.10 142 degree
q.11 x=11
q.12 complementary angles
Supposed f(x) =x^3. Find the graph of f (x-3)
Answer:
Step-by-step explanation:
the graph will move 3 units to the right
graph 4 I think, although cannot see the picture well
Answer:
Step-by-step explanation:
The -3 translates the graph of x^3 3 units to the right.