Answer:
Proved , since LHS= RHS
Step-by-step explanation:
We need to prove the given expression ,
=> 1 + cos x / 1 + sec x = cos x
Simplifying LHS.=> 1 + cos (x) / 1 + sec (x)
=> 1 + cos (x) / 1 + 1/cos (x)
=> 1 + cos (x) ÷ 1 + cos(x) / cos (x)
=> 1 + cos (x) × cos(x) / { 1 + cos (x) }
1 + cos (x) gets cancelled . So we are finally left out with ,=> cos (x)
= RHS
Hence proved !Find the inverse: y = - 1/2 x + 4.
What is the appropriate equation used that would solve for x
Answer:
E) 6x - 10 = 4x + 20
Step-by-step explanation:
In this type of picture, the opposite angles are congruent (they equal the same)
So the right equation would be 6x - 10 = 4x + 20, or E
Find the surface area of the above solid
Answer:did u ever find the answer i need it
Step-by-step explanation:
A warehouse has a height of 8 2/10 meters, length of 120 meters, and width of 20 3/10 meters. What is the volume of the warehouse?
Volume = 119975.2 meters3
Find you equation of the line shown
Answer:
y=x+6
Step-by-step explanation:
(0,6). y=mx+b or 6=1 × 0+b, or solving for b: b=6-(1)(0). b=6.
(1,7). y=mx+b or 7=1 × 1+b, or solving for b: b=7-(1)(1). b=6.
I inputted two points from the graph and solved them.
Hence the equation would be y=x+6
Answer:
y= x + 6
Step-by-step explanation:
For here we are looking for y= mx +b.
For the slope, It is y= 4/4.
That can be simplified into 1x or x.
Then look at where it contacts the y axis. It is at six. Plug all that in to get
y= x + 6
hope this helps!!
6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0
Work out the area of triangle ABC
2 root 5 cm
3 root 2 cm
Determine the volume of the shape below
Answer:
V = 24513.85 m³Explanation:
Volume of a right cylinder = area of the base × height
V = πr² × h
r = d/2
r = 34/2 = 17 m
V = π × 17² × 27
V = 24513.85 m³
TEXAS Test Prep
Which equation represents the fraction of beads that are green or yellow?
⚫⚪⚫⚫⚫⚫⚫⚫
A. 1/2 + 1/4 = 3/4
B. 1/4 + 1/8 = 3/8
C. 1/2 + 1/8 = 5/8
D. 3/4 + 2/8 = 1
Answer:
1/8 + 1/2 = 5/8
Step-by-step explanation:
Total number of beads = 8
Number of green beads = 4
Number of yellow beads = 1
Fraction of green beads :
Number of green / total number of bead = 4 / 8 = 1/2
Fraction of yellow beads :
Number of yellow / total number of bead = 1 / 8
Number of green or yellow bead :
1/8 + 1/2 = (1 + 4) / 8 = 5/8
1. Which of the following represents a function?
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(3, 4), (-3, 2), (3, 8), (5, 5)
(2, 3), (4,3), (-2, -3), (-4, -3)
(5, 1), (5, 2), (5, 3), (5, 4)
Answer: ( -2, -1
Step-by-step explanation:
Please help! I will give Brainliest!
Who is correct?
Answer:
Eric is correct
Step-by-step explanation:
Estimate: 587 is about what percent of 1,012?
Answer:
its 58
it is very simple to answer just find the percent of it
PLEASE HELP 35 POINTS
Find the value of x in the triangle shown below.
Answer:
a
Step-by-step explanation:
Answer:
b is the answer
Step-by-step explanation:
b= 4.123..
Find the value of g, f, e, and d
Answer:
g-86=15
g= 15+86=101
e-27=45
e=45+27=72
6f+15+45=180
6f=180-60
6f=120
f=20
d=6f
d=120
|2x-5|<1
i need help pleaseeeeee
Answer:
x < 3 or x < 2
Step-by-step explanation:
|2x-5|<1
Using compound Inequality
(2x - 5) <± 1
Hence,
a) 2x - 5 < -1
2x < -1 + 5
2x < 4
x < 4/2
x < 2
b) 2x - 5 < +1
2x < 1 + 5
2x < 6
x < 6/2
x < 3
Therefore, x < 3 or x < 2
Please help and show work!
Answer:
Step-by-step explanation:
The given quadratic must be rewritten in standard form before anything else is done: -2x^2 + 8x - 8 = 0. The coefficients of the x terms are {-2, 8, -8}.
The discriminant b^2 - 4ac is therefore (8)^2 - 4(-2)(-8), or 64 - 64, or 0.
A zero discriminant points to two real, equal solutions.
A class has 25 students. In how many seats can four students be chosen as class leaders?
Answer:
3 groups will have 5 members with a class leader, but only one will have 6 members and a class leader
Step-by-step explanation:
Find the circumference of the given circle. Round your answer to the nearest whole number.
Answer:
circumference = 31 inches
Step-by-step explanation:
using the Pythagorean theorem:
diameter² = 8² + 6² = 100
diameter = √100 = 10
circumference = 10 x 3.14 = 31.4 inches
A school has 764 students. Of the students, 118 are in third grade. Which
equation can be used to find s, the total number of students in all of the other
grades?
764 + 118 = s
s
764 = 118
118 = 764
118 + s = 764
Answer:
D. 118 + s = 764
Step-by-step explanation:
To find the total number of students in all the other grades, if we only know the total number of students in the school and the number of kids in 3rd grade, we need to subtract the kids in 3rd grade from the entire school. This leaves us with 646.
s = 646
Hope it helped!
NEED THE ANSWER PLEASE
Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m[tex]\widehat{AG}[/tex] = 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m[tex]\widehat{ABE}[/tex] = 48°
∴ m[tex]\widehat{ABE}[/tex] = 2 × 48° = 96°
m∠AEF = (1/2) × m[tex]\widehat{AGE}[/tex]
m[tex]\widehat{ABE}[/tex] + m[tex]\widehat{AGE}[/tex] = 360° (angle round a circle)
∴ m[tex]\widehat{AGE}[/tex] = 360° - m[tex]\widehat{ABE}[/tex] = 360° - 96° = 264°
m[tex]\widehat{AGE}[/tex] = m[tex]\widehat{AG}[/tex] + m[tex]\widehat{EG}[/tex]
∴ m[tex]\widehat{EG}[/tex] = m[tex]\widehat{AGE}[/tex] - m[tex]\widehat{AG}[/tex] = 264° - 175° = 89°
m[tex]\widehat{EG}[/tex] = 89°.
A truck rental company a basic fee of $70 and an additional $4 per mile for the rental of its trucks. Michelle paid a total of $210 when she rented a truck. How many miles did she drive the truck?
A 17.5 miles
B 35miles
C 70 miles
D 122.5 miles
Answer:
35 Miles
Step-by-step explanation:
Mark me brainliest.
210 minus 70 = 140
140 divided by 4 = 35
35 is your answer.
Rectangle A and B have the same Area. Rectangle A has a length of 7m and a width of 4m. Rectangle B has a width of 10m. What is the perimeter of Rectangle B? *
Answer:
P = 25.6 feet
Step-by-step explanation:
Given that,
Rectangle A and B have the same Area.
The area of a rectangle is given by :
A = lb
[tex]l_Ab_A=l_Bb_B[/tex]
We have,
[tex]l_A=7\ m, b_A=4\ m, b_B=10\ m[/tex]
So,
[tex]l_B=\dfrac{l_Ab_A}{l_B}\\\\l_B=\dfrac{7\times 4}{10}\\\\l_B=2.8\ m[/tex]
The perimeter of rectangle B,
[tex]P=2(l_B+b_B)\\\\=2(2.8+10)\\\\=25.6\ ft[/tex]
So, the perimeter of rectangle B is equal to 25.6 feet.
Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the next three people. The numbers 0–5 represent people who use sunscreen, and the numbers 6–9 represent people who do not use sunscreen. What is the probability that two of the next three respondents use sunscreen?
Answer:
[tex]Pr = 0.50[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Probability that 2 of 3 use sunscreen
From the attached data, we have:
[tex]S = \{275, 738, 419, 582, 987, 436, 578, 472, 178, 839\}[/tex]
[tex]n(S) = 10[/tex]
Events where 2 of the 3 uses sunscreen is:
[tex]x = \{275, 419, 582, 436, 472\}[/tex] --- i.e. where 0 -5 represents sunscreen
[tex]n(x) = 5[/tex]
So, the required probability is:
[tex]Pr = \frac{n(x)}{n(S)}[/tex]
[tex]Pr = \frac{5}{10}[/tex]
[tex]Pr = 0.50[/tex]
FIRT TO ANSWER GETS BRAINLYEST
Which best explains whether 9 is a solution to the inequality x greater-than 9?
It is not a solution because 9 is not greater than 9.
It is not a solution because 9 is not less than 9.
It is a solution because 9 is greater than 9.
It is a solution because 9 is less than 9.
Morgan correctly answered 90% of the questions on her history test. She answered 36 questions correctly How many questions were on the test?
(A)33
(B)40
(C)48
(D) 126
Answer:
(B)40
Step-by-step explanation:
use the mark given and divide it by 90 percent take the answer given and multiply it by one hundred
Answer:
B) 40
Step-by-step explanation:
If 90% = 36
100% = ?
Cross Multiplying
100 x 36/ 90 = 40
which means there were 40 Questions on the test.
Find the volume of the pyramid. Someone help plz
Answer:
2880
Step-by-step explanation:
10 x 8 x 6 x 12 = 5760/2 = 2880
what is 4(2/3x +2) = 3x
Answer:
x = 8
Simplified
3x = 8 + 8/3x
Step-by-step explanation:
4(2/3x + 2) = 3x
8/3x + 8 = 3x
8/3x - 8/3x + 8 = 3x - 8/3x
8 = x
Which is true about the angle relationships in the
rectangle? Check all that apply.
BEA and Z CED are vertical angles and equal
76º.
ZABE and Z CBE are complementary angles.
BEC and Z CED are vertical angles.
BEA and AED are supplementary angles
whose sum is 180°
BEC and AED are adjacent angles.
Answer:
∠BEA = ∠CED = 104° (vertical angles)
∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°
∠BEA and ∠AED are supplementary angles. 104 + 76 = 180
Step-by-step explanation:
Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent to each other.
Complementary angles are angle whose sum add up to 90° while supplementary angles are angles whose sum add up to 180°
Two angles are adjacent if they are placed side by side and share the same vertex.
∠BEA = ∠CED = 104° (vertical angles)
∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°
∠BEC and ∠CED are not vertical angles
∠BEA and ∠AED are supplementary angles. 104 + 76 = 180
∠BEA and ∠AED are not adjacent angles
Answers: A B D
Step-by-step explanation:
I did the quiz
En una progresion geometrica el primer termino es 4 ¿ cual debe de ser la razon para que la suma de sus infinitos sea 5?
Respuesta:
La proporción común del término puede ser 1/5
Explicación paso a paso:
La fórmula para calcular la suma al infinito de una secuencia geométrica se expresa como:
Sinfty = a / 1-r
Dado
Sinfty = 5
Primer término a = 4
Requerido
Razón común r
Sustituir
5 = 4/1-r
5 (1-r) = 4
5-5r = 4
-5r = 4-5
-5r = -1
r = 1/5
Esto significa que la razón común debe ser 1/5 para que la suma hasta el infinito sea 5
Roberto debe leer un libro que contiene 340 páginas en 4 días por lo cual planea la siguiente distribución: el primer día 1/5 de las páginas del libro, el segundo 1/4 de lo que queda por leer y el tercero 1/6 del resto. ¿Cuántas páginas le quedan por leer a Roberto en el cuarto día?
Answer:
170 pages
Step-by-step explanation:
Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution
The number of pages he read for the first day :
The first day 1/5 of the pages of the book
This is calculated as:
1/5 × 340 pages
= 68 pages
For the second day:
The second 1/4 of what remains to be read
The number of pages remaining after the first day is calculated as:
340 - 68 = 272 pages
Hence, the number of pages read on the second day is
1/4 × 272 pages
= 68 pages
For the third day
One the third day, 1/6 of the rest was read.
The number of pages remaining after the first day is calculated as:
272 - 68 = 204 pages
Hence, the number of pages read on the third day is
1/6 × 204 pages
= 34 pages
Therefore, the number of pages Roberto has to read on the fourth day is calculated as:
340 pages - (68 + 68 + 34)pages
340 pages - 170 pages
= 170 pages