Answer:
156.25
Step-by-step explanation:
1/2 × b ×h =12.5
12.5 ×9 =156.25 hope you ace it
Find the value of m if x + m is a factor of x^2 - 5mx + 3
Answer:
+or- sqrt(3/4)
Step-by-step explanation:
If x + m is a factor, that means that when x = -m the equation equals 0. Sub -m into x
0 = (-m)^2 - 5m(-m) + 3
0 = m^2 - 5m^2 + 3
0 = -4m^2 + 3
Factorise
0 = -4(m^2 - 3/4)
0 = -4(m + sqrt(3/4))(m - sqrt(3/4))
:. m = +or- sqrt(3/4)
Help me please, asap
Answer:
k = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
X| 1 2 5 10 30
Y| 3 6 15 30 90
2p+8p>-20 help please ☺️
Answer:
p > -2
Step-by-step explanation:
2p + 8p > -20
10p > -20
10/10p > -20/10
p > -2
p is greater than -2
If m = 8 and n = 5, then man + 3) – n+1-
Answer:
P (−1)n(n+1)(n+2) (n+1)3 converges
Step-by-step explanation:
(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
[tex]\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]
To start, we can multiply the fraction by (1 - sin(θ)). This yields:
[tex]\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta[/tex]
Simplify. The denominator uses the difference of two squares pattern:
[tex]\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta[/tex]
Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:
[tex]\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]
Split into two separate fractions:
[tex]\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta[/tex]
Rewrite the two fractions:
[tex]\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta[/tex]
By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:
[tex]\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta[/tex]
Hence verified.
prove sin^2 π/6 + cos^2 π/3 - tan^2 π/4 = -1/2
=(
2
1
)
2
+(
2
1
)
2
−1
2
=
2
−1
Therefore, L.H.S = R.H.S
Which of the following numbers has exactly two significant digits? OA) 3.40 OB) 2.125 OC) 1.0475 OD) 0.00050
Answer:
Here, option (d) has significant digits. hence , option (d) ✓ is correct.John walked from town A to Town B at a uniform speed of 4km/hr.When he reached town B ,he was turned back immediately and he walked back to town A along the same road at a uniform speed of 6km/hr.What is his average speed for the whole trip?
Answer:
His average speed for the whole trip is 5km/hr
Step-by-step explanation:
Answer:
4.8 km/hr
Step-by-step explanation:
Assume that the distance is 24 km (evenly divisible by 4 & 6)
then the A-B time would be 24/4 or 6 hrs.
on the return the time would be 24/6 or 4 hrs.
total time 10 hrs total distance 48 km....
48/10 = 4.8 km/hr
If carina can ride her bike at a speed of 7 mph, it will take her 3 hours to travel 21 miles. True or false?
Answer:
True
Step-by-step explanation:
We know that distance = rate * time
21 miles = 7 miles per hours * 3 hours
21 miles = 21 miles
True
i would like if someone helped me with this.
Answer:
the answer is to the question is b
Answer:
(-1.5,9)
Step-by-step explanation:
In second quadrant the x- component is negative where as y- component is positive
May somebody help do this please??
Answer:
a. 1 yard:3 feet
b. 3 feet:1 yard
c. Sean ran exactly a mile
Step-by-step explanation:
For a and b there are 3 feet in a yard
For c a mile is exactly 5280 feet
Answer:
A: 3 : 1
B: 1 : 3
C: less
Step-by-step explanation:
A: There are 3 feet in a yard, so feet: yard would be 3:1
For example, 21 feet equals 7 yards, 21:7 is equal to 3:1B: For every yard, there are 3 feet, so th ratio would be 1:3
For example, 4 yards equals 12 feet, 4:12 is equal to 1:3C: Sean ran 1,600 yards. To convert this into feet, multiply by 3. He ran 4,800 feet. Since 4,800 < 5,280, he ran less than a mile
Jenny puts 8 stickers on each page of her note book. She uses 72 stikers in all which equation can be use to find the number of in jennys note book
Answer:
72/8=9 im not sure which it is asking for
Step-by-step explanation:
we know that Jenny has 72 stickers with 8 stickers on each page. so therefore the the 72 stickers have been divided by 8 to fit onto 9 pages.
Answer:
9 pages of stickers
Step-by-step explanation:
72 / 8 = 9 pages of stickers
Which correlation best describes the data below.
Answer:
weak positive
Step-by-step explanation:
weak because the line of best fit (the line passes through all points and used to express the relationship between them) doesn't pass through all ponts here.
positive because the values of data points are rising throughout the graph.
y+1=3/4(x+3) in general form pls??
Answer:
Step-by-step explanation:
y+1 =(3/4)x+9/4
y=(3/4)x+1/4
Answer:
3x - 4y + 5 = 0
Step-by-step explanation:
The equation of a line in general form is
Ax + By + C = 0 ( A, B, and C are integers )
Given
y + 1 = [tex]\frac{3}{4}[/tex] (x + 3) ← multiply through by 4 to clear the fraction
4y + 4 = 3(x + 3)
4y + 4 = 3x + 9 ( subtract 4y + 4 from both sides )
0 = 3x - 4y + 5 , that is
3x - 4y + 5 = 0 ← in general form
Find the measure of one exterior angle for the following regular polygon that’s for both questions
Answer:
Step-by-step explanation:
How to find the unknown angles
Answer:
How do you find the unknown angle of a triangle? To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
Step-by-step explanation:
U= a/k, for a. I really don’t get this whole topic an in depth explanation would be great thanks!
Answer:
ku=a
Step-by-step explanation:
We are given
[tex]u = \frac{a}{k} [/tex]
and we need to solve for a. First let multiply k by both sides to isolate a.
[tex]ku = a[/tex]
I need help ASAP!! Please explain how to solve the problem
Answer:
area of base = pi x radius^2 = (ill use 3.14 as pi)
3.14 x 7^2 = 153.86 in^2
height = 12
circunference of base = 2 x pi x radius or pi x diameter (diameter = 2 x radius) = 3.14 x 14 = 43.96 in
surface area = perimeter of base x height (lateral area) + 2 x area of base
= 43.96 x 12 = 527.52 + 2(153.86) = 835.24
hope that answers your question
(be careful, i generally use 3.14 as pi, but if your question says to use other forms as pi, then just replace pi as what the question asks, ive given you the formulas on how to calculate area and circumf., so i hope it should be easier...)
what fraction of these houses have seven rooms
Answer:
9/50
Step-by-step explanation:
18 % have 7 rooms
18 % means 18 out of 100
18/100
Divide top and bottom by 2
9/50
Find the indicated side of the
right triangle.
45°
y
6
45°
Answer:
6
Step-by-step explanation:
tan 45 = 6 / x
1 = 6 / x
x = 6
Note :
Tan 45 value = 1
Answer:
x=6
Step-by-step explanation:
Since this is an isosceles triangle, the sides must be equal next to the base angles that are equal
x=6
x423-2
Which expression is equivalent to log12
-?
(x+1)
O 410g,2x+ 2logi z(x2 – 2)- 5logiz(x: 1)
O 410912x+ žlog12. - 5log,2x+log421
o (x2
log124x+10912(x - 2)-510912(x)+1
4109,2x+ 3 109126x - 2)- 5log12(x + 1)
Answer:
D
Step-by-step explanation:
log(x^4*sqrt(x^3-2)/(x+1)^5)=log(x^4)+log(sqrt(x^3-2))-log((x+1)^5)
=> 4log(x)+(1/2)*log(x^3-2)-5log(x+1)
Geometry, please answer question ASAP
Answer:
C
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex] , then
C = [tex]tan^{-1}[/tex] ([tex]\frac{c}{a}[/tex] )
X =
A)6 2/3
B)9
C)12
I think the answer would be (C) 12 because when you lay the line measuring 5 - 4 flat you can see that it is not covering line x completely. When 3 to the new line of 9 you can see that it fits. Hope this helps!
whats the area in square inches
Answer:
Area of triangle =1/2b×h
1/2×10×8.7
=44 square inches
Answer:
44
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
where b is the base and h is the height
A = 1/2 (10) (8.7)
A= 43.5
Rounding to the nearest whole number
A = 44
Two linear functions are described below.
Function f(x) has the equation f(x)=3x−4.
Function g(x) has the table of values shown below.
x g(x)
0 4
3 5
6 6
9 7
Which statement is true regarding the functions f(x) and g(x)?
A
The slopes of the two functions are the same.
B
The slopes of the two functions are opposites.
C
The y-intercepts of the two functions are the same.
D
The y-intercepts of the two functions are opposites.
Answer:
D
The y-intercepts of the two functions are opposites.
Step-by-step explanation:
f(x) = 3x-4 which has a slope of 3 and a y intercept of -4
g(x)
m = (5-4)/(3-0) = 1/3
g(x) = 1/3 x +4
g(x) has a slope of 1/3 and a y intercept of 4
applications of rational numbers
Step-by-step explanation:
Rational numbers are real numbers which can be written in the form of p/q where p,q are integers and q ≠ 0. We use taxes in the form of fractions. When you share a pizza or anything. Interest rates on loans and mortgages.
Hope it helps you
Mark my answer as brainlist
have a nice day
Give an example of a trinomial with a GCF of 6a.
9514 1404 393
Answer:
18a +42ax +24az
Step-by-step explanation:
6a(3 +7x +4z) = 18a +42ax +24az
__
Additional comment
In order for 6a to be the GCF, the terms inside parentheses cannot have any common factors.
Can someone help me please
Answer:
=2⁵it's option B 2⁵(B) 2⁵ is the right option2^2+ 3^2 - 4^2
Simplify using the order of operation
Answer:
[tex] {2}^{2} + {3}^{2} - {4}^{2} \\ 4 + 9 - 16 \\ 13 - 16 \\ - 3[/tex]
I hope it helped U
stay safe stay happy
Answer:
-3
Step-by-step explanation:
[tex] {2}^{2} + {3}^{2} - {4}^{2} [/tex]
[tex] = 4 + {3}^{2} - {4}^{2} [/tex]
[tex] = 4 + 9 - {4}^{2} [/tex]
[tex] = 4 + 9 - 16[/tex]
[tex] = - 3[/tex]
For the given functions f and g , find the indicated composition. F(x) = -5x + 4, g(x) = 4x + 6 (g∘f)(x)
Answer:
(g∘f)(x) = -20x + 22
Step-by-step explanation:
(g∘f)(x) simply means g(f(x))
We are given;
f(x) = -5x + 4
g(x) = 4x + 6
Thus;
(g∘f)(x) = 4(-5x + 4) + 6
(g∘f)(x) = -20x + 16 + 6
(g∘f)(x) = -20x + 22