Hello there! :)
Answer:
[tex]\huge\boxed{x = 27}[/tex]
Given the equation:
3x - 4y = 65 where y = 4
Substitute in 4 for "y":
3x - 4(4) = 65
Simplify:
3x - 16 = 65
Add 16 to both sides:
3x - 16 + 16 = 65 + 16
3x = 81
Divide both sides by 3:
3x/3 = 81/3
x = 27.
Write the area A of an equilateral triangle as a function of the length s of its sides.
STEP 1: Find the base of the equilateral triangle in terms of s.
STEP 2: The height of an equilateral triangle can be found via the Pythagorean theorem. Use this information to find h in terms of s.
Write the area A of an equilateral triangle as a function of the length s of its sides. Draw the triangle; label each side "2s". Draw the altitute; it will bisect the base into s and s. ... Therefore, the area is equal to the measure of the bisected side times the measure of the altitude, quantity divided by 2.
HOPE SO IT HELPS YOU
Answer:
Step-by-step explanation:
Part A
Each side including the base is s.
Part B
Use 1/2 the base to find the height. The height meets the base at 90 degrees which gives you the right to use c^2 = b^2 + a^2
The hypotenuse is s
The base is 1/2s
h^2 = s^2 - (1/2s)^2
h^2 = s^2 - 1/4 s^2
h^2 = 3s^2/4
h = sqrt(3)/2 *s
Area = 1/2 * s * sqrt(3)/2 s
Area = 1/4 * s^2 * sqrt(3)
What the answer now
Answer:
Area of the triangle = 98.1 km²
Step-by-step explanation:
In the given triangle WXV,
m∠W + m∠X + m∠V = 180°
m∠W + 119° + 34° = 180°
m∠W = 180° - 153°
m∠W = 27°
By applying Sine rule in the given triangle,
[tex]\frac{\text{SInW}}{\text{XV}}=\frac{\text{SinX}}{\text{WV}}[/tex]
[tex]\frac{\text{SIn27}}{\text{XV}}=\frac{\text{Sin119}}{26}[/tex]
[tex]XV=\frac{26\times (\text{Sin27})}{\text{Sin119}}[/tex]
XV = 13.496 km
Area of the ΔWXV = [tex]\frac{1}{2}(\text{WV})(\text{XV})(\text{SinV})[/tex]
= [tex]\frac{1}{2}(26)(13.496)(0.55919)[/tex]
= 98.109
≈ 98.1 km²
If sin Θ = 5 over 6, what are the values of cos Θ and tan Θ?
Answer:
Check explanation
Step-by-step explanation:
Sin∅=5/6
Opp=5. Hyp=6
Adj= (√6²+5²)
= √11
Cos∅=(√11)/6
Tan∅=5/(√11)
Which equation represents a population of 300 animals that decreases at an annual rate of 23%? A. p=300(1.23)t B. p=300(1.77)t C. p=300(0.77)t D. p=300(0.23)t
For a given initial quantity A, a decrease of x% can be written as:
A - A*(x%/100%) = A*(1 - x%/100%)
With this, we need to construct an exponential decrease equation for the given situation, and we will find that the equation is:
P(t) = 300*(0.77)^t
Now let's see how we found that.
In this case, we know that:
The initial number of animals is 300.
They decrease at an anual rate of 23%.
This means that after the first year, the population will be:
P(1) = 300 - 300*(23%/100$) = 300*( 1 - 0.23) = 300*(0.77)
After another year, the population decreases again, so we get:
P(2) = 300*(0.77) - 300*(0.77)*(23%/100$) = 300*(0.77)^2
Here we already can see the pattern, the population in the year t, we will get:
P(t) = 300*(0.77)^t
Then we can see that the correct option is C.
If you want to learn more, you can read:
https://brainly.com/question/16993154
Find the discriminant of the quadratic equation x2 + 10x + 24 = 0 and use it to determine the number and types of solutions. b2 − 4ac
Answer:
Step-by-step explanation:
x² + 10x + 24 = 0
Discriminant = 10² - 4×1×24 = 4
The discriminant is positive, so there are two distinct, real solutions.
Answer:
The answer is C) 4; Two real solutions.
Step-by-step explanation:
x2 + 10x + 24 = 0 in the function
x2 resembles a
10x resembles b
24 resembles c
so, let's convert.
b2-4ac
(10) ^2 - 4(1)(24)
100 - 96
= 4
Find the measure Of PR
Answer:
18
Step-by-step explanation:
The formula for this is a x b = c x d where a is SR, b is FR, c is QR and d is PR. This will give us the equation 9(16) = 8(5x + 8); 144 = 40x + 64; 80 = 40x; x = 2. Now, plug this into PR which will be 5(2)+8 = 18. This is your answer.
Mrs. Applebaum goes to the supermarket to buy a box of cereal. She has a coupon for 35 cents off. The original
price is $4.73. How much does she need to pay for the cereal?
O $1.23
O $4.38
$4.48
O $5.08
HELPP
Answer:
4.73 - 0.35 = 4.38. Mrs Applebaum needs to pay $4.38
Step-by-step explanation:
Answer:
$4.38
Step-by-step explanation:
$4.73 is the full price. She has a coupon for 35 cents OFF which means you have to subtract .35 from 4.73. 4.73 - .35 = 4.38
if 25% of a number is 75 find the number
Answer:
x = 300
Step-by-step explanation:
of means multiply and is means equals
25% * x = 75
Change to decimal form
.25x = 75
Divide each side by .25
.25x/.25 = 75/.25
x = 300
Answer:
300
Step-by-step explanation:
Assume the unknown value is 'Y'
75 = 25% x Y
75 = 25/100 x Y
Multiplying both sides by 100 and dividing both sides of the equation by 25 we will arrive at:
Y = 3 x 100/25
Y = 300%
Answer: 75 is 25 percent of 300
Finance A bicycle shop hires road bikes for £25 per day and tandems for £40 per day. One day a family pays £155.
a Which type of bicycles did they hire?
b How many people are in the family?
Answer:
3 road bikes and 2 tandems
7 people
Step-by-step explanation:
25b + 40t = 155
b=3 and t = 2
Check
25*3 + 40*2 = 155
75+80 = 155
Assuming 1 person per road bike and 2 people per tandem
3*1 + 2*2 = 3+4 = 7
Find the coordinates of point G that lies along the directed line segment from F(-1, -1) to H(-8, 20) and partitions the segment in the ratio of 5:2.
Answer:
coordinates of point g is ( -6, 14)
Step-by-step explanation:
The coordinates of the point which divides the point (x1,y1) and (x2,y2) in m:n ratio is given by (nx1+mx2)/(m+n), (ny1+my2)/(m+n).
___________________________________________
given point
F(-1, -1) to H(-8, 20)
ratio : 5:2
the coordinates of point g is
(2*-1+5*-8)/(5+2), (2*-1+5*20)/(5+2)
=> (-2 -40/7 , -2+100/7)
=> (-42/7, 98/7)
=>( -6, 14)
Thus , coordinates of point g is ( -6, 14)
what is the value of digit 9 in 3.45×0.27×0.3 ?
Answer:
[tex]\boxed{\pink{0.27945}}[/tex]
Step-by-step explanation:
[tex]3.45 \times 0.27 \\ = 0.9315 \times 0.3 \\ = 0.27945[/tex]
Answer: thousandths place
Step-by-step explanation:
↓
3.45 x 0.27 x 0.3 = 0.27945
The place values to the right of the decimal point are:
one to the right (2): tenths
two to the right (7): hundredths
three to the right (9): thousandths
four to the right (4): ten thousandths
five to the right (5): hundred thousandths
What property is demonstrated here? (3x-5) x 4 = 3 x (-5 x 4) A) commutative property of addition B) associative property of multiplication C) commutative property of multiplication D) associative property of addition (haven't learned this yet so I have no clue)
Answer:
B) Associative Property of Multiplication
Step-by-step explanation:
*if it's wrong idk how, but I apologise*
The radius of a circle is 16 ft. Find its area in terms of pi
Step-by-step explanatio
1. The weight, wky, of a bag of sand is given as 5.6 kg correct to
1 decimal place. Find the range of values in which the actual
weight lies.
Answer:
5.56
Step-无by-step explanation:
Which of the functions below is not exponential or logarithmic?
Answer:
f(x) = 5x² + 3
Step-by-step explanation:
Exponential Function: [tex]a(b)^x+c[/tex]
Logarithmic Function: [tex]alog_bx+c[/tex]
5x² + 3 is a quadratic function. Therefore, it is not an exponential or logarithmic function and is incorrect.
log₅x is a logarithmic function. Therefore, it is correct.
5log₃x + 3 is a logarithmic function. Therefore, it is correct.
5ˣ + 3 is an exponential function. Therefore it is correct.
5a - 2b for a = -2 and b = 5
Answer:
-20
Step-by-step explanation:
5a - 2b a=-2 b=5
5(-2)-2(5)
-10-10=-20
Answer:
The answer is - 20Step-by-step explanation:
5a - 2b
To find the value of the expression when
a = -2 and b = 5
Substitute the values of a and b into the expression
That's
5(-2) - 2(5)
-10 - 10
-20
We have the final answer as -20
Hope this helps you
Find the value of tetha in 2 cos 3 tetha = 1
Answer:
Step-by-step explanation: 2cos3 theta=1. Cos 3theta=1/2. Since cos 60°= 1/2. Therefore cos 3theta=cos 60°. Theta=20°.
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2 hundredths as a decimal
Answer:
0.02
Step-by-step explanation:
Answer:
.02
Step-by-step explanation:
please help the ones that are circled
Answer:
Step-by-step explanation:
For number 11)
[tex]\frac{x+3}{4} = 1[/tex] cross multiply expressions
4 = 3+x subtract 3 from both sides
1 = x
for number 14)
[tex]\frac{x+8}{12} = 1[/tex] cross multiply expressions
x+8 = 12 subtract 8 from both sides
x = 4
for number 16)
[tex]\frac{8+x}{3} = 10[/tex] cross multiply expressions
8+x = 30 subtract 8 from both sides
x = 22
for number 19)
[tex]\frac{-9 + b}{32} = -1[/tex] cross multiply expressions
-9 + b = -31 add 9 to both sides
b = -22
Teacher Thomas did a survey of primary 6 students to find out how the students go to school.the result are down. given that 110 student go to school by train, how many students go to school by bus? THE RESULT
BUS 140*
CAR 67.2*
CYCLE 44.8*
walk 20*
train 88*
Answer:
(88°/360°) * total number of students= 110
88x=39600
x=450 students
x is the total number of students
(140/360)*450=175 students going by bus
if u like my answer mark as brainliest
Jessie brought 3 1/5?cups of water on
a hike. If he drinks 2/5 cup of water
each hour, how many hours will he
have water for?
Answer:
8 hours
Step-by-step explanation:
3 1/5 cups, he drinks 2/5 cups every hour
to find the number of hours he has water for, divide the 2 numbers
3 1/5 = 16/5
16/5 divided by 2/5 is equal to 16/5 times 5/2
80/10 equals 8, so he will have water for 8 hours
solving polynomial(2y-4)(3y+6)
Answer:
6y² - 24
Step-by-step explanation:
Expand. Follow FOIL method. FOIL =
First
Outside
Inside
Last.
First, multiply the first term of each parenthesis:
2y * 3y = 6y²
Next, multiply the outside terms from both parenthesis:
2y * 6 = 12y
Then, multiply the inside terms from both parenthesis:
-4 * 3y = -12y
Finally, multiply the last terms of each parenthesis:
-4 * 6 = -24
Combine like terms:
6y² + 12y - 12y - 24
6y² + (12y - 12y) - 24
6y² - 24
6y² - 24 is your answer.
~
[tex] \Large{ \boxed{ \rm{ \red{To \: solve?}}}}[/tex]
(2y - 4)(3y + 6)Solution:-⇛ (2y - 4)(3y + 6)
⇛ 2y(3y + 6) - 4(3y + 6)
⇛ 6y² + 12y - 12y - 24
⇛ 6y² - 24
☃️ So, Final answer = 6y² - 24
A son is 8 years old. His father is 5 times as old. How old was the father when his son was born?
Answer:
he was 32
Step-by-step explanation:
8x5 is 40 because he was born 8 years ago you subtract 8 from 40 to get 32
a circular hall has a hemispherical roof. the greatest height is equal to the internal diameter .if the capacity of the hall is 43510 m^3 ,then the area of the floor is
This building is basically a cylinder with a hemisphere on top. Let d be the diameter of the hemispherical roof. This is also the height of the entire building as the greatest height is this value (which is located at the center of the building)
The hemisphere itself is r = d/2 meters high, which is the radius of the roof. The cylinder portion's height must be d - r = d - d/2 = 2d/2 - d/2 = d/2 = r meters. So basically the cylinder and the hemisphere both have the same height of r.
At the same time, the cylinder and hemisphere also have the same radius r, or else the roof wouldn't fit on the cylinder.
------------------------------
Volume of cylinder = pi*r^2*h = pi*r^2*r = pi*r^3
Note how I replaced h with r and simplified.
Also,
Volume of hemisphere = (1/2)*(volume of sphere)
Volume of hemisphere = (1/2)*( (4/3)*pi*r^3 )
Volume of hemisphere = (2/3)*pi*r^3
------------------------------
Add the two volume expressions
total volume = (volume of cylinder) + (volume of hemisphere)
total volume = (pi*r^3) + ( (2/3)*pi*r^3 )
total volume = (3/3)pi*r^3 + (2/3)pi*r^3
total volume = (5/3)pi*r^3
------------------------------
Set this equal to 43510 and solve for r
(5/3)pi*r^3 = 43510
pi*r^3 = (3/5)*43510
pi*r^3 = 26106
r^3 = 26106/pi
r = (26106/pi)^(1/3)
r = 20.2549023450428
The building has a radius of approximately 20.2549023450428 meters
------------------------------
We can now compute the area of the circular floor
area = pi*r^2
area = pi*(20.2549023450428)^2
area = 1,288.87316044698
Answer: approximately 1288.87316044698 square metersRound this however you need to
in a group140 pupils 5/7 like swimming while the rest like football .find the fraction of the pupils who like football
Answer:
[tex]{ \sf{ \underline{it \: is \: \frac{2}{7} }}}[/tex]
Step-by-step explanation:
[tex] = \frac{7}{7} - \frac{5}{7} \\ \\ = \frac{2}{7} [/tex]
Please help quick pleaseeeeeeeeeeee
Answer:
think this one
Step-by-step explanation:
the answers there
i think
1. Define sets
2. What are the types of sets?
3. What are the operations used on sets?
Answer:
Set is a collection of specified object.The types of set are Finite Set. A set which contains a definite number of elements is called a finite set. ...Infinite Set. A set which contains infinite number of elements is called an infinite set. ...
Subset. ...
Proper Subset. ...
Universal Set. ...
Empty Set or Null Set. ...
Singleton Set or Unit Set. ...
Equal Set.
The operation used on sets are. 1 Intersection 2.Union 3.Difference 4.CompelementHerbert has sold 92, 28, 83 and 75 suits in the last four months, respectively. How many suits will he need to sell this month to maintain an average of at least 71 sales per month?
Answer: 77 suits
Step-by-step explanation:
Let sales of this month = x
Sales for last 4 months = 92, 28, 83, 75
Average = Sum of Observation ÷ No of Observation
Now, we can form an equation
(92+28 +83+75+x) ÷ 5 =71
(92+28 +83+75+x) = 71 × 5
278 + x = 355
x = 355 - 278
x = 77
What is the simplified form of 4x−2(3y)−3?
Answer:
4x - 6y -3
Step-by-step explanation:
4x−2(3y)−3
Distribute
4x - 6y -3
Answer:
4x−6y−3
Step-by-step explanation:
All you really have to do is multiply -2 time 3y and thats it.
The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \sin(\theta_1)=\dfrac{1}{2}sin(θ 1 )= 2 1 sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 1, divided by, 2, end fraction . What is the value of \cos(\theta_1)cos(θ 1 )cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?
Answer:
√3/2Step-by-step explanation:
Given an angle θ₁ located on in the first quadrant and sinθ₁ = 1/2, we are required to calculate the value of cosθ₁.
Firstly, we need to find the value of the angle θ₁ from the expression sinθ₁ = 1/2.
Given sinθ₁ = 1/2
Take the arcsin of both sides
arcsin(sinθ₁) = arcsin(1/2)
The arcsin will cancel out the sin at the left hand side to have only θ₁. Hence;
θ₁ = arcsin(1/2)
Using the calculator, θ₁ = 30°
Since we are to find the value of cosθ₁
cosθ₁ = cos30°
cos30° = √3/2
Hence the value of cosθ₁ is √3/2
Answer:
60/61
Step-by-step explanation:
60/61
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