Answers
Answer:
Let's walk through the steps together!
Step-by-step explanation:
1
a) we know that the Pythagorean theorem is a^2+b^2=c^2
a^2+b^2=c^2 means that if we add the squared values for each of the two sides of the triangle (these sides need to have an angle of 90 degrees together. Basically they are the ones that aren't the hypotenuse) we get the value of the hypotenuse (the longest side that doesn't help to make the right angle).
We see that we have the values of a and b in this formula (these sides need to have an angle of 90 degrees together.) Plugging the values in problem 1a into this formula, we see that 16^2+12^2=x^2 (x is the value we need to find)
16^2=236
12^2=144
so the formula now says that 236+144=x^2
236+144=400, so x= [tex]\sqrt{400}[/tex] , which is 20.
so x=20
b) we can use the same knowledge we used in the first problem in this problem as well. In this problem, we are given the values of c (the hypotenuse) and one of the sides (which for our purposes can be a).
a^2+b^2=c^2 -> 100+b^2=289
This means that b=[tex]\sqrt{289-100}[/tex]
so b=[tex]\sqrt{189}[/tex]
so b=[tex]3\sqrt{21}[/tex]
2
These ones are pretty basic, having any common knowledge of ratios should lead you right to the answer. I will help you with a and d
a) we are given the values 6 and 9 as a ratio, which is the same as a 2:3 ratio. 12 corresponds to 6, so 12 would be the 2 in 2:3, meaning the answer (for the value of x) is 18
d) we are given the values 6 and 8, and the corresponding value to 8 is 12. 6 and 8 make a ratio of 3:4, and if we plug 12 in as the 3, the 4->4*4=16
3
I can't see the full problem so unfortunately, I cannot help you
I hope this helped in your understanding!
-Suvi
Related Questions
A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the job.
Answers
===========================================================
Explanation:
As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).
The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.
The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.
The total area is 200+875 = 1075 square feet
Notes:
We can write "square feet" as "sq ft" or as "ft^2" without quotes.The portion "5 ft", in the upper left corner, is never used.A random number generator is used to create a list of 300 single-digit numbers. Of those 300 numbers, 146 are odd
and 154 are even. The number 8 was generated 22 times.
What is the experimental probability of an even number other than 8 being generated? Write your answer as a
decimal to the nearest hundredths place.
O 0.23
O 0.35
O 0.44
O 0.52
Answers
…………………….
The experimental probability of an even number other than 8 being generated is, 0.44
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
Total number of numbers = 300
Number of even numbers = 154
Number of eight = 22
Hence, Number of even numbers other than 8 is,
154 - 22 = 132
Thus, Probability is,
= [number of even numbers other than eight] / [total number of numbers]
= 132/300
= 0.44
Thus, The experimental probability of an even number other than 8 being generated is, 0.44
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ7
Someone please help me thank you
Answers
Answer:
[tex]y=-\frac{1}{3}x+-7[/tex]
Step-by-step explanation:
The graph shows a negative slope with 3 units in between each point.
Every 3 x-units, the y-unit goes up once.
Annora bought a box of cookies that matches the dimensions of the solid below. How many square units of cardboard were used to construct the box? If your solution is not a whole number, round to the nearest tenth. Help pls
Answers
Find the value of x in the figure.
Answers
Answer:
x=28
Step-by-step explanation:
[tex]\huge\bold{To\:find:}[/tex]
✎ The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:value\:of\:x\:is\:28°. }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Since it is right-angle,
[tex]Sum \: of \: angles \: = 90° \\ ⇢ (2x + 1) + 33 ° = 90° \\ ⇢2x + 34° = 90° \\ ⇢2x = 90° - 34° \\⇢ 2x = 56° \\⇢ x = \frac{56° }{2} \\ ⇢x = 28° [/tex]
[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex](2x + 1) + 33° = 90° \\ ➡ \: 2 \times 28° + 1 + 33° = 90° \\ ➡ \: 56° + 34° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
In a group of 20 students there are 11 girls what is the ratio of boys to girls
Answers
Answer:
9:11
Step-by-step explanation:
subtract the amount of girls to get the amount of boys then put it in ratio form in the order it is asked so it is 9:11
Please help quickly !!
Answers
Since these are right triangles, we can use Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
50^2 + 20^2 = c^2
2500 + 400 = c^2
2900 = c^2
c = sqrt[ 100 * 29]
c = 10 sqrt[29]
In the boxes, a = 10, b = 29.
Hope this helps!! :)
Find the values of x and y in the picture. Express answers in simplest radical form. (square root from)
Answers
Answer:
[tex]x = \frac{12}{ \tan(60 \degree) } \\ x = \frac{12}{ \sqrt{3} } \\ x = 4 \sqrt{3} \: cm[/tex]
[tex]y = \frac{12}{ \sin (60 \degree) } \\ y = \frac{12 \times 2}{ \sqrt{3} } \\ y = \frac{24}{ \sqrt{3} } \\ y = 8 \sqrt{3} \: cm[/tex]
In △ E F G △EFG, K K is the centroid. If K J = 7 KJ=7, find F K FK. E J G I F H K
Answers
You get this by subtracting 180-130
When testing the difference between two independent population means, the sample variances are pooled to estimate the population variance when ________. Multiple Choice the population means are known the population variances are assumed equal but unknown the population variances are assumed unequal and unknown the population variances are known and equal
Answers
Answer:
the population means are known the population variances are assumed equal but unknown
Step-by-step explanation:
If σ1= σ2 (= σ) but unknown , then the biased pooled or combined estimate of the common variance σ² ( the term common variance means that each population has the same variance ) is given by
Sp²= (n1-1) s1² + (n2-1) s2²/ n1+ n2- 2
So first assumption is correct.
When the population variances are assumed unequal and unknown
If σ1 ≠ σ2 but unknown
we use the sample estimates s1 and s2 to compute the standard error of the difference between the means.
S(x1`- x2`) = √s1²/ n1 + s2²/n2
So this is does not apply here.
attracting geometry genius’s
Answers
Answer:
Step-by-step explanation:
take angle x as reference angle
using sin rule
sin x=opposite/hypotenuse
sin x=11/13
sin x=0.846
x=sin 57.8
x=57.8 degree
What are the solutions to the quadratic equation
6x2 + 24X = 0?
Answers
Answer:
[tex]x = 0 \: \text{or} \: x = - 4.[/tex]
Step-by-step explanation:
[tex]6 {x}^{2} + 24x = 0 \\ \text{then} \: 6x(x + 4) = 0 \\ \text{hence} \: x = 0 \: \text{or} \: x + 4 = 0 \\\text{therefore} \: x = 0 \: \text{or} \: x = - 4.[/tex]
Harry buys a waffle maker priced at $48. If the sales tax is 9%, how much tax will Harry pay?
Answers
Answer:
2325
Step-by-step explanation:
Kkkkkkkkjajahaaj
Problem 7.1 (10 points) Let pXnqn"0,1,... be a Markov chain with state space S " t1, 2, 3u and transition probability matrix P " ¨ ˝ 0.5 0.4 0.1 0.3 0.4 0.3 0.2 0.3 0.5 ˛ ‚. (a) Compute the stationary distribution π. (b) Is the stationary distribution π also the limiting distribution? Give a reason for your answer.
Answers
Answer:
The responses to the given can be defined as follows:
Step-by-step explanation:
For point a:
fixing probability vector that is [tex]W = [a b c][/tex]
[tex]\therefore[/tex]
relation: [tex]WT =W[/tex]
[tex]\to 0.5a+0.3b+0.2c=a ..................(1)\\\\ \to 0.4a+0.4b+0.3c=b..............(2)\\\\ \to 0.1a+0.3b+0.5c=c.................(3)[/tex]
solving the value:
[tex]a=0.3387 \\\\ b=0.3710\\\\ c=0.2903[/tex]
Therefore the stationary distribution [tex]\pi =[0.3387 \ 0.3710\ 0.2903][/tex]
For point b:
[tex]\pi[/tex] will be limiting distribution if [tex]\pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1[/tex]
[tex]\pi[/tex] satisfies the above condition so, it is limiting the distribution.
A model of a car is built with a scale of 1 inch : 4 feet. If the length of the model car is 2.7 inches, then the length of the car is how much feet?
Answers
Answer: [tex]10.8\ ft[/tex]
Step-by-step explanation:
Given
A model car is built with a scale of 1 inch: 4 feet
If the length of the model car is 2.7 inches
Suppose the length of the car is l
[tex]\therefore \dfrac{1}{4}=\dfrac{2.7}{l}\\\\\Rightarrow l=2.7\times 4\\\Rightarrow l=10.8\ ft[/tex]
Therefore, the length of the car is [tex]10.8\ ft[/tex]
Please help and show the formula used, along with all substitutions and calculations needed
Answers
Answer:
The given triangle is right.
Step-by-step explanation:
The Pythagorean converse theorem states the following: if one can substitute the sides of a triangle into the following formula:
[tex]a^2+b^2=c^2[/tex]
If the equation formed is a true statement, then the triangle is right, if it is not, then the triangle is not right. In this case, one is not given the angle that has the right angle, however, the hypotenuse is the longest side in a right triangle. Therefore, if the triangle is right, then the hypotenuse is the longest, then side (c) is the longest side in the given triangle. Then side (a) and (b) are the legs, the sides adjacent to the right angle. It doesn't matter which sides one substitutes for these parameters.
Substitute in the given values and solve to prove the triangle is right,
[tex]a^2+b^2=c^2\\[/tex]
Substitute,
[tex](9.6)^2+(12.8)^2=(16)^2[/tex]
Simplify,
[tex]92.16+163.84=256[/tex]
[tex]256=256[/tex]
The given triangle is right since its sides follow the Pythagorean converse theorem.
Dominic says the approximate volume
of the sphere below is 85.33 cm3.
Find the correct approximate volume,
using 3.14 for p. Round to the nearest
hundredth. What was Dominic’s
likely error? (The radius is 4.)
Answers
Answer:
V = 267.95 cm^3
Dominic forgot to multiply by the approximation for pi
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
V = 4/3 ( 3.14) (4)^3
V = 267.946666666
Rounding to the nearest hundredth
V = 267.95 cm^3
If you do not multiply by the approximation for pi
V = 85.3333333pi cm^3
Dominic forgot to multiply by the approximation for pi
hey! i’ll give brainliest please help
Answers
Answer:
c
Step-by-step explanation:
Answer:
D, a sentence that includes only one independent clause
Step-by-step explanation:
A compound-complex sentence has two independent clauses, and 1 or more dependent clauses. A compound sentence has two independent clauses, and is connected by a conjunction.
This isn't a math question but idrc
Lily has 642 stamps in total. She has 54 US stamps than foreign stamps. How many does she have each
Answers
Answer:
answer in photo
hope this helps :)
Step-by-step explanation:
Answer:
348 US and 294 Foreign
Step-by-step explanation:
642 - 54 = 588
588 /2= 294
294+54=348
How long an umbrella will fit in the bottom of a suitcase 1.5 feet by 2.5 feet
Answers
Answer:
pointing towards the top
Step-by-step explanation:
1.5 feet long 2.5 feet wide the suitcase is so straight
HOPE OT HELPS
Ani was told to write the number four and eight hundredths. She wrote 4.8. Was Ani correct or incorrect
Answers
PLS HELP I NEED THIS DONE ASAP AND IT IWLL MEAN ALOT AND ILL MAKRK U AS BRAINLIST ITS 6TH GRADE GEOGRAPHY
Answers
Answer:
The area of the shaded polygon is 31 square units.
Step-by-step explanation:
The procedure to calculate the area of the shaded irregular polygon is described below:
1) Calculate the area of the initial rectangle.
2) Calculate the areas of the four triangles.
3) Subtract the areas of the four triangles from the initial triangle.
[tex]A = (9)\cdot (6) - \frac{1}{2}\cdot (4)^{2} - \frac{1}{2}\cdot (5)\cdot (2) - \frac{1}{2}\cdot (2)^{2} - \frac{1}{2}\cdot (4)^{2}[/tex]
[tex]A = 31[/tex]
The area of the shaded polygon is 31 square units.
plzplzplzhelpmeeeeeeeeee
Answers
Answer:
A = 7
Step-by-step explanation:
√50 = 7.07
approximating it will give you
= 7
√50=5√2=7.07
Chord \displaystyle \overline{AB} AB is 12 inches from center \displaystyle OO. If the radius has a length of \displaystyle 1515 inches, find the length of chord \displaystyle \overline{AB} AB .
Answers
Answer:
18 inches
Step-by-step explanation:
Given
[tex]r = 15in[/tex] --- radius
[tex]h = 12in[/tex] --- distance between chord and the center of the circle
Required
The chord length
See attachment for illustration
First, calculate distance AX using Pythagoras theorem.
[tex]AO^2 = AX^2 + OX^2[/tex]
This gives:
[tex]15^2 = AX^2 + 12^2[/tex]
[tex]225 = AX^2 + 144[/tex]
Collect like terms
[tex]AX^2 = 225 - 144[/tex]
[tex]AX^2 = 81[/tex]
Take square roots of both sides
[tex]AX = 9[/tex]
AB is then calculated as:
[tex]AB= AX + XB[/tex]
Where:
[tex]AX=XB =9[/tex]
So:
[tex]AB = 9 + 9[/tex]
[tex]AB = 18[/tex]
An item is regularly priced at $31 . It is on sale for 65% off the regular price.
Answers
help please i need it
Answers
Answer:
Around 140
Step-by-step explanation:
It's over 90 degree angle
If the area of the parallelogram ABCD is 570 square meters, find the height.
Answers
Answer:
Height of parallelogram = 30 meter
Step-by-step explanation:
Given:
Area of parallelogram = 570 square meters
Find:
Height of parallelogram
Computation:
Base of parallelogram = 19 meter
Area of parallelogram = Base of parallelogram x Height of parallelogram
570 = 19 x Height of parallelogram
Height of parallelogram = 570 / 19
Height of parallelogram = 30 meter
I need help on this. it would really help me alot
Answers
Answer:
23.31 ft
Step-by-step explanation:
Tan y= opposite÷adjacent
tan 47= 25÷ x
tan 47 • x = 25
x= 25÷ tan 47
x= 23.31 ft
HOPE THIS HELPS!
[tex](x - 7)(x - 5)[/tex]
Answers
Step-by-step explanation:
X=7 or x=5
It might be two answer to this question
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{(x - 7) (x - 5)}[/tex]
[tex]\large\text{DISTRIBUTE each of the numbers}[/tex]
[tex]\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}[/tex]
[tex]\large\textsf{x(x) = \bf x}\bf ^2[/tex]
[tex]\large\textsf{x(-5) = \bf -5x}[/tex]
[tex]\large\textsf{-7(x) = \bf -7x}[/tex]
[tex]\large\textsf{(-7)(-5) = \bf 35}[/tex]
[tex]\mathsf{x^2 - 5x -7x + 35}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\mathsf{x^2 -(5x - 7x) + 35}[/tex]
[tex]\mathsf{-5x -7x = \bf -12x}[/tex]
[tex]\mathsf{x^2 - 12x + 35}[/tex]
[tex]\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitirite1040:)}[/tex]
Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.
Answers
A =?
P= 9456
r = 6% = 0.06
t = 5 yrs
Formula
A= P(1+r)^t
A= 9456×1.06⁵
A = 12646.23
the total amount that he had to pay was 12646 rs