Given:
Two secant segments are drawn to a circle from a point outside the circle.
External segment of the first secant segment = 8 centimeters
Internal segment of the first secant = 6 centimeters.
Entire length of the second secant segment = 28 centimeters.
To find:
The length of its external segment.
Solution:
Let x be the length of its external segment.
Entire length of the first secant segment = 8+6 = 14 centimeters.
If two secant segments are drawn to a circle from a point outside the circle, then product of entire length of first secant and external length of first secant is equal to product of entire length of second secant and external length of second secant.
[tex]14\times 8=28\times x[/tex]
[tex]112=28x[/tex]
Divide both sides by 28.
[tex]\dfrac{112}{28}=x[/tex]
[tex]4=x[/tex]
Therefore, the length of external segment of second secant is 4 centimeters.
The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.
Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]
Using Pythagoras :
SOHCAHTOAHorizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance
Total horizontal distance = opposite = (d + 0.6) miles Vertical distance = Adjacent = 2.5 MilesTo obtain the angle of depression, q :
Tanθ = opposite / Adjacent[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]
[tex] tan q = \frac{d + 0.6}{2.5} [/tex]
Therefore, q can be written in terms of d thus ;
[tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]Learn more : https://brainly.com/question/17350482
2 step equations: solve the equation below:
m/5+9=11
Answer:
m=10
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
m/5+9-(11)=0
m
Simplify —
5
m
(— + 9) - 11 = 0
5
Adding a whole to a fraction
Rewrite the whole as a fraction using 5 as the denominator :
9 9 • 5
9 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
m + 9 • 5 m + 45
————————— = ——————
5 5
(m + 45)
———————— - 11 = 0
5
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
11 11 • 5
11 = —— = ——————
1 5
Adding up the two equivalent fractions
(m+45) - (11 • 5) m - 10
————————————————— = ——————
5 5
m - 10
—————— = 0
5
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
m-10
———— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
m-10 = 0
Solve : m-10 = 0
Add 10 to both sides of the equation :
m = 10
m = 10
5 1/10 divided by 1 1/5
Answer:
4.25
Step-by-step explanation:
[SREENSHOT ATTACHED]
Please helpp! :((
Each set of directions describes how to plot a point starting at the origin. Drag each set of directions to show what point would be plotted.
what is 25 2/3 - 15 1/3 =
Answer:
10 1/3
Step-by-step explanation:
Convert mixed numbers into improper fractions (whole number × denominator + numerator)
25 2/3 and 15 1/3
25 × 3 + 2 = 75 + 2 = 77
Put the number over the same denominator
77/3
15 × 3 + 1 = 45 + 1 = 46
Put the number over the same denominator
46/3
77/3 - 46/3
They have common denominators so we can simply subtract the numerator values
77 - 46/3
31/3
To convert it back to a whole number, find how many times 3 fits into 31 evenly
It fits 10 times evenly with 1 remainding which looks like:
10 1/3
The book store manager keeps a chart of the number of books sold each week. How
many books were sold all together in weeks 2 and 4?
Book Store Sales
Week
Number of Books
1
2
3
4
1.412
1,531
2,050
1,785
Answer:
3315
Step-by-step explanation:
Given the data:
WEEK ________1 _____2______3______4
no of books __1412___1531 ___2050 ___1785
Number of books sold in weeks 2 and week 4
Books sold in week 2 = 1531
Books sold on week 4 = 1785
(1531 + 1784) = 3315
i paid $15.00 for 6 gallons of gasoline.
what was the price PER gallon
Answer:
$2.5 (that is very expensive. Don't buy gas from there again)
Step-by-step explanation:
$15.00 divided by 6 = $2.5
Hope I helped :)
Please consider Brainliest :)
Which of the following is irrational?
2
v1.44
1
Answer:
B
Step-by-step explanation:
B
Translate: The product of six and ten. Explain your answer.
ANYONE HELP PLEASE
Answer:
60
Step-by-step explanation:
product means multiplication
therefore 6×10=60
PLEASE HELP!! ASAP 10 POINTS
Simplify negative 9/6 divided by 3 over negative 2.
a.3 b.1 c.−1 d.−3
Answer:
(b)
Step-by-step explanation:
(-9/6) / (-3/2)
keep the first fraction, change division to multiplication, then flip the second fraction
-9/6 x 2/-3
multiply the numerators by each other and do the same with the denominators
-9x2 / 6x-3
-18 / -18
simplify
answer = 1 (negative divided by negative will always equal a positive)
Answer:
b or 1
Step-by-step explanation:
took the test
g(-1)=____?
Please give an explanation too!!
I Need help ASAP with slope
^ picture
Answer:
3/5
Step-by-step explanation:
What is equivalent to 5x+3
Answer : 5x+3
There are no like terms
PLEASE GIVE ME AS BRAINLIEST
Solve absolute value equation 2|x-3|-8=2
Answer:
[tex]x=8, -2[/tex]
Step-by-step explanation:
[tex]2|x-3|-8=2[/tex]
[tex]2|x-3|=10[/tex]
[tex]|x-3|=5[/tex] [tex]|x-3|=-5[/tex]
[tex]x-3=5[/tex] [tex]x-3=-5[/tex]
[tex]x=8[/tex] [tex]x=-2[/tex]
PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.
A. On which day did Elsa reach farther: the second or third day?
B. By how much?
Answer:
A) The second day
B) 9/16 inches
A) Elsa reached farther on the second day because -1/16 > -5/8
B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:
-1/16 - (-10/16) = 9/16
Elsa reached 9/16 inches farther on the second day then she did on the first.
Hope this helps and have a great day!
Also stay safe! :))))
what is 1/2- 1 and 1/5
Answer:
-0.7 is the answer to your question
Answer:
Answer:
-0.7 is the answer to your question
Step-by-step explanation:
-3
-2
- 1
2.
3
4
-2
-3
-4
-5
The equation of the line in this graph is y =
Answer:
please ask proper question or repost it
Oni was timing her 100 meter sprints. Her first five sprints were 12.568 seconds, 11.426 seconds, 12.324 seconds, 11.981 seconds, and 12.601 seconds. Which two estimation techniques will give the same result for the total number of seconds for all five sprints?
front-end and clustering
front-end and rounding to the nearest tenth
clustering and rounding to the nearest tenth
rounding to the nearest tenth and rounding to the nearest hundredth
Answer:
the answer should be D
Step-by-step explanation:
because my teacher told me the answer
Answer:
D
Step-by-step explanation:
rounding to the nearest tenth and rounding to the nearest hundredth
Edg2020
PLEASE HELP AHHHH IS URGENT.
What is the degree of rotational symmetry for the following figure?
Answer with step-by-step explanation:
For a figure or object that has rotational symmetry, the angle of turning during rotation is called the angle of rotation. Example: when a square is rotated by 90 degrees, it appears the same after rotation. So, the angle of rotation for a square is 90 degrees.
1. Write an equation for two numbers that are 3 units away from 0?
Answer:
|3| and |-3|
Step-by-step explanation:
Answer:
IxI=3
Step-by-step explanation:
2x + 7y = 3
x = 1 - 4y
Answer:
(5,-1)
Step-by-step explanation:
Since one of the equations gives x in terms of y , ie x = 1 - 4y
Then this can be substituted directly into the other equation.
→ 2(1 - 4y) + 7y = 3 → 2 - 8y + 7y = 3 → -y = 1 → y = -1
now, substitute y = -1 into x = 1 - 4y , to obtain x
→ x = 1 - 4(-1) = 1 + 4 = 5
Thus solution is (5 , -1 )
The distance from Salvador's job to
his house is 3 times greater than the distance
from his house to school. If his house is between
his job and school and the distance from his job
to school is 6 miles, how far is it from Salvador's
house to school?
Answer:
54
Step-by-step explanation:
Which number goes in the
space (?) to make the two
fractions equivalent
3/8 = 15/?
Answer:
40 mark Brainliest please
Step-by-step explanation:
15/40
Let the missing number be x .
Then :-
[tex] \frac{3}{8} = \frac{15}{x} [/tex]
[tex] 3 \times x = 8 \times 15[/tex]
[tex]3x = 120[/tex]
[tex]x = \frac{120}{3} [/tex]
[tex]x = 40[/tex]
The missing number is 40 .
Let us check it by doing cross multiplication :-
[tex]3 \times 40 = 15 \times 8[/tex]
[tex]120 = 120[/tex]
Hence proved the missing number is 40 .
[tex]therefore \: , \frac{3}{8} = \frac{15}{40} [/tex]
Eight less than a number s is three more than four times a number t. Solve for s.
Answer:
S= 11+4t
Step-by-step explanation:
Answer:
S= 11+4t .
hope I'm write not sure
Step-by-step explanation:
Which inequality is true?
Answer:
2 1/3 > 2 1/6
Step-by-step explanation:
2.33 > 2.17 True
How do you know if it is inequality or not w/ fraction?
An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
To solve an inequality using the following steps:
1) Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
2) Simplify by combining like terms on each side of the inequality.
3) Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Answer:
B
Step-by-step explanation:
I did the quiz
x=???????? ASAPPppppp
Answer:
x=2
Step-by-step explanation:
12=12 2=2
the sides have the same x
Question 13
Find the value of x.
4x 32 – 3 +5 x 2 = 0
A. 33
B. 43
c. 36
D. 58
E 34
Answer:
I think it is C
Step-by-step explanation:
Solve the following problem. Show you work.
5 + 6(W + 8) = 59
Step 1:
Step 2:
Step 3:
Step 4:
Answer: