Find the area of a isosceles triangle having the base x cm and one side y cm
Answer: xy/2 cm²
Step-by-step explanation:
An isosceles triangle is a triangle that has two sides out of the three sides to be equal. The area of an isosceles triangle is given as:
= 1/2 × base × height
where,
base = xcm
height = ycm
Therefore,
Area = 1/2 × x × y
Area = xy/2 cm²
Write the first five terms in the arithmetic sequence. f(n + 1) = f(n) – 19, f(1) = 34
Answer:
34, 15, -4, -23 and -42
Step-by-step explanation:
We are to find the first five sequence
when n = 1
f(2) = f(1) - 19
f(2) = 34 - 19
f(2) = 15
when n = 2
f(2+1) = f(2) - 19
f(3) = f(2) - 19
f(3) = 15 - 19
f(3) = -4
when n = 3
f(3+1) = f(3) - 19
f(4) = f(3) - 19
f(4) = -4 - 19
f(4) = -23
when n = 4
f(4+1) = f(4) - 19
f(5) = f(4) - 19
f(5) = -23 - 19
f(5) = -42
Hence the first five terms in the arithmetic sequence are 34, 15, -4, -23 and -42
Which of the following numbers is between 5 and 10 on a number line? Select two that apply.
Answer:
√38 , √44
Step-by-step explanation:
√25 = 5 and √100 = 10
So, required numbers should be between √25 and √100
And so, they are √38 , √44
(Edit) I was wrong nevermind.
Need help with this
Answer:
The value of x is 25
Step-by-step explanation:
A secant is a line that intersects a circle in exactly two points. When two secants, intersect at a point outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcsIn the given figure
→ In circle O
∵ GB and GD intersect it at points F, B, and E, D
∴ GB and GD are secants of circle O
∵ GB and GD intersect outside the circle O at point G
∵ They intercepted arcs EF and BD
→ By using the rule above
∴ m∠G = [tex]\frac{1}{2}[/tex] (m arc BD - m arc EF)
∵ m arc BD = m arc BC + m arc CD
∵ m arc BC = 35° and m arc CD = 100°
∴ m arc BD = 35 + 100 = 135°
∵ m arc EF = x
∵ m∠G = 55°
→ Substitute them in the rule above
∴ 55 = [tex]\frac{1}{2}[/tex] (135 - x)
→ Multiply both sides by 2 to cancel the fraction [tex]\frac{1}{2}[/tex]
∵ 110 = 135 - x
→ Subtract 135 from both sides
∴ -25 = -x
→ Divide both sides by -1
∴ 25 = x
∴ The value of x is 25
Toni drives a boat 15 km/h upstream and then turns around and drives 25 km/h back downstream to her
starting point. If her total driving time is 4 hours, for how long does she drive upstream? Write and solve an
equation to determine the answer. !!!PLEASE HELP!!!
Answer:
plz help
Step-by-step explanation:
you'd like your pendulum to take 20 seconds to complete a cycle how long will the pendulum need to be? is the reasonable in your building which is planned to be 20 feet long?
Answer:
Concept: Mathematical Analysis
The full rotation of a pendulum is attached, plug in the values and solve.Rate brainlist.Two interior angles of a triangle measure 56° and 37°. What is the third interior angle
of the triangle?
4.
Answer:
87 degree
Step-by-step explanation:
interior angle is 180
So 56+37 = 93
180-93 = 87
Answer:
Step-by-step explanation:
we know that the sum of the angles in a triangle = 180 degrees
the third angle will be = 180-(56+37)=87
what's the difference between 5 and
[tex]2 \sqrt{5} [/tex]
the difference between these two are:1. 5 is a rational number but 2√5 is an irrational number.
factorise the expression 4(x+1)^2-49 . plz solve this i will mark you the brainliest
Answer:The answer is : Expand the square
4(x+1)the second square - 49
4(x+1)x+1)-49
The solution is : 4x second square + 8x - 45
Step-by-step explanation:
Which expression is equal to the expression below?
(7•2)^7
A. 7^7 + 2^7
B. 7^7 • 2^7
C. 7 • (7•2)
D. 9^7
Answer:
c
Step-by-step explanation:
I need the measure of
Answer:
measure of WZV angle is 50°
If l || m, find the value of x.
Answer:
15
Step-by-step explanation:
(5x + 9)° = 84° (alternate angles)
5x + 9 = 84
5x = 84 - 9
5x = 75
x = 75/5
x = 15
If f (x) = 4 x - 3, what is f (x)^-1 ?
Answer:
Step-by-step explanation:
f(x) = 4x - 3
.
The problem asks you to find f(-1).
.
All that this is telling you to do is to evaluate f(x) when x equals -1. So, just go to the
given f(x) and substitute -1 for every x.
.
Starting with:
.
f(x) = 4x - 3
Energy from the Sun makes water end up in the ?
(I put math because there is no science)
Answer:
Clouds
Step-by-step explanation:
Since the heat cause the water to evaporate into water vapors.
Southlake Cable charges $50 per month for basic cable and $5 for each premium movie channel. Lakeview Cable charges $41 per month for the same cable package and $6.50 for each premium movie channel. The graph of the equations representing the costs for each company is shown in the graph.
Answer:
Six movie channels, because 5(6) + 50 = 6.5(6) + 41
Step-by-step explanation:
What is f(x) - g(x)
f(x)=x^2 + 2x - 5
g(x)= -3x^2 - 4x + 1
Answer:
f(x)=(−1,−6)
g(x)=(−2/3,7/3)
Step-by-step explanation:
What are we finding the vertex
Answer:
A. -2x^2-2x-4
Step-by-step explanation:
:D
Find the value of the expression.
z + y2
for y = 6 and z = 1
Answer:
If this is the question then tis is the answer. Thank you. Hope I was of help.
Kris's bike used up 4.5 gallons of gas to cover a distance of 297 miles.Jack travels 366 miles on a full tank capacity of 6 gallons.Ben's bike consumed 5.2 gallons of gas for a 265.2 miles long drive. Whose bike gave the best mileage
Answer:
Ben's bike gave the best mileage.
Step-by-step explanation:
Kris's bike mileage = 297 / 4.5
Kris's bike mileage = 66 mile/gallon
Jack's bike mileage = 366 / 6
Jack's bike mileage = 61 mile/gallon
Ben's bike mileage = 265.2 / 5.2
Ben's bike mileage = 51 mile/gallon
Ben's bike gave the best mileage
Derin is buying a new car at the price of $14,799.99. If he must pay 5% in sales tax, how much will his new car really cost him
Simplify each expression.
4 x 10
Answer:
1 x 40
Step-by-step explanation:
There were 5 girls in Ms. Smith’s 6th period class. If 45% of students are girls, about how many boys are in her class?
Answer:
5 is 45% of 11.11
Step-by-step explanation:
How many grams of protein will 7 servings provide?
Answer:
What does the serving consist of?
Step-by-step explanation:
Answer:
it depends on what the servings are
Step-by-step explanation:
Determine if the triangles are similar. If similar, state how and complete the similarity
statement. If not similar, select N/A.
Are the triangles similar?
How are they similar?
Complete the similarity statement: AYXZ ~
HELP ASAP 15 points
Answer:
SAS
Step-by-step explanation:
Given that x² -x -2 is a factor of x³ +3 x² +ax +b, calculate the values of a and b and hence find the remaining factor.
Answer:
[tex]a = -6, b = - 8[/tex]
Remaining factor = [tex]x+4[/tex]
Step-by-step explanation:
Given that:
Two polynomials:
[tex]x^{2} -x-2[/tex] and [tex]x^3 +3 x^2 +ax +b[/tex]
[tex]x^{2} -x-2[/tex] is a factor of [tex]x^3 +3 x^2 +ax +b[/tex].
To find:
The values of [tex]a[/tex] and [tex]b[/tex] from the cubic equation and the remaining factor.
Solution:
Let us first of all, factorize [tex]x^{2} -x-2[/tex].
[tex]x^{2} -2x+x-2=0\\\Rightarrow x(x-2)+1(x-2)=0\\\Rightarrow (x+1)(x-2)=0\\\Rightarrow x = -1, 2[/tex]
There are two factors of the given quadratic equation.
These two factors must also be factors of the cubic equation as well.
Putting [tex]x = 2[/tex]:
[tex]2^3 +3 \times 2^2 +a\times 2 +b =0\\\Rightarrow 2a+b=-20 ..... (1)[/tex]
Putting [tex]x = -1[/tex]:
[tex](-1)^3 +3 \times (-1)^2 +a\times (-1) +b =0\\\Rightarrow -a+b=-2 ..... (2)[/tex]
Subtracting (2) from (1):
[tex]3a = -18\\\Rightarrow a = -6[/tex]
From equation (1):
[tex]2\times (-6) + b=-20\\\Rightarrow b = -8[/tex]
Putting the values of [tex]a[/tex] and [tex]b[/tex] in the cubic equation, we get:
[tex]x^3 +3 x^2 -6x -8[/tex]
Dividing the cubic equation with quadratic, we get:
[tex]\dfrac{x^3 +3 x^2 -6x -8}{x^{2} -x-2} = x+4[/tex]
Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x
Answer:
Let's solve your inequality step-by-step.
3600+1.02x<2000+1.04x
Step 1: Simplify both sides of the inequality.
1.02x+3600<1.04x+2000
Step 2: Subtract 1.04x from both sides.
1.02x+3600−1.04x<1.04x+2000−1.04x
−0.02x+3600<2000
Step 3: Subtract 3600 from both sides.
−0.02x+3600−3600<2000−3600
−0.02x<−1600
Step 4: Divide both sides by -0.02.
−0.02x
−0.02
<
−1600
−0.02
x>80000
Step-by-step explanation:
In the triangle below, what is the length of the hypotenuse?
A. 3√3
B. 6
C. 3√2
D. √3
Answer:
B. 6Step-by-step explanation:
I'd like to begin by apologizing for the late reply.
PROCESS:
1) Begin by analyzing the triangle
2) Notice how you can take the sin of 30 to find the hypotenuse
3) sin30= 3/x
4) If you don't see how I did that, a fun trig word play for functions, is
S O/H
C A/H
T O/A
where
S= Sine
C= Cosine
T= Tangent
O= Opposite
H= Hypotenuse
A= Adjacent
so side opposite of 30 is side 3, and the hypotenuse is x.
5) sin30= 3/x = 6
6) Your answer, hypotenuse is 6
BONUS: If you want to find the base length, use Pythagorean theorem.
c=√a2+b2
b=√c2-a2= √6^2 - 3^2= 5.19 or 5.2
double checking!!!
i think it's figure a but not sure!!!!
Answer:
figure a
Step-by-step explanation:
figure a is the only figure that has the same shape as the figure with the "*" next to it
Answer: I think it is A. It is the most likely to be compared to the star.
Step-by-step explanation: I hoped this helps
Rewrite the expression without parentheses by using the Distributive Property p(q-r) VERY URGENT!
Step-by-step explanation:
p(q-r) = pq - pr
Hope it helps
PLEASE HELP WITH THE CORRECT ANSWERRRR PLEASE
What value of b makes the trinomial below a perfect square?
x^2-bx + 100
A. 20
B. 10
C. 5
D. 50
Answer:
B
Step-by-step explanation:
What are the coordinates of A after ABC is reflected over the y axis
Answer:
(-8;7) ---> (8;7)
x changes sign. y stays with the same sign
............