Answer:
b+3
Step-by-step explanation:
The variable is "b", and increased is adding (+).
~Anna
Answer:
F(b)=b+3
Step-by-step explanation:
A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With the level ground for a secure footing. Find, to the nearest inch, how far the base of the latter should be from the side of the building and how far up the side of the building the latter will reach.
Answer:
Distance of foot of ladder from building: 37.2 inches
Distance of top of ladder from building's base: 114 inches
Step-by-step explanation:
Please refer to the figure attached in the answer area.
A right angled triangle [tex]\triangle ABC[/tex] is formed by the ladder with the building where hypotenuse is the length of ladder.
Hypotenuse, AC = 10 foot
Also, we are given that angle made by the base of ladder with the ground is [tex]72^\circ[/tex].
We have to find AB and BC.
[tex]\angle BAC = 72^\circ[/tex]
Using trigonometric functions:
[tex]cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches[/tex]
[tex]sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches[/tex]
Distance of foot of ladder from building: 37.2 inches
Distance of top of ladder from building's base: 114 inches
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
4x+9
Answer:
4x+9, 1st degree binomial
Step-by-step explanation:
It's already in standard form
What are the coordinates of C?
find the volume of the following comes with the given dimensions. round your answer to the nearest hundredth. diameter=4ft height=1ft
Answer:
4
Step-by-step explanation:
help pls!!!!!!!!!!!!
Answer:
w=9z
Step-by-step explanation:
For each z value, w is 9 times that. For instance, 18 is 9 times 2, and 45 is 9 times 5. Therefore, the equation that would describe this is w=9z. Hope this helps!
Answer:
z = (1/9) w or w = 9z
Step-by-step explanation:
w = 18 , z = 2
if relationship is proportional than z = k (constant) *w
2 = k * 18 divide each side by 18
k = 2/18 = 1/9
X-1/x-1=1 what is the answer????
Answer:
0
Step-by-step explanation:
×-1/×-1=1
×-1=1(×-1)
×-1=×-1
×-×=-1+1
0=0
0
The value of the equation is 1.
The equation given is (x-1)/(x-1) = 1.
To determine the solution, we can simplify the equation by canceling out the common factor (x-1) on both sides:
(x - 1)/(x - 1) = 1
1 = 1
The simplified equation 1 = 1 is always true for any value of x.
Therefore, the original equation is true for all values of x, except when x = 1.
When x = 1, the equation is undefined because the denominator becomes zero, resulting in division by zero.
Hence the value of the equation is 1.
Learn more about equation click;
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Complete the equation to represent finding x, the greater integer.
x(x – ) = 143
Answer:
x would equal -11 or 13
Step-by-step Explanation:
x(x - 2) - 143 = 0
x^2 - 2x - 143 = 0
-2x + x^2 = 143
-143 + (-2x) + x^2 = 0
(x - 13)(x + 11)
x - 13 = 0
Add 13 to both sides
x = 13
x + 11 = 0
Subtract 11 from both sides
x = -11
PLEASE HELP ME I REALLY NEED IT
Answer:
Triangle B
Step-by-step explanation:
you square both of your smallest sides, then you add them together and they should equal your largest side squared.
Answer:
B. 3, 4, 5Step-by-step explanation:
We solve this using the Pythagorean theorem: a² + b² = c²
Triangle A: 10, 12, 15
10² + 12² = 15²
100 + 144 = 225
244 ≠ 225 ❌
NOT A RIGHT TRIANGLE! ❌
Triangle B: 3, 4, 5
3² + 4² = 5²
9 + 16 = 25
25 = 25 ✅
RIGHT TRIANGLE ✅
Triangle C: 7, 8, 9
7² + 8² = 9²
49 + 64 = 81
113 ≠ 81 ❌
NOT A RIGHT TRIANGLE! ❌
Triangle D: 5, 12, 16
5² + 12² = 16²
25 + 144 = 256
169 ≠ 256 ❌
NOT A RIGHT TRIANGLE! ❌
I'm always happy to help :)
Here is a triangular pyramid and its net.
The lateral faces are congruent triangles. The base (shaded) is an equilateral triangle.
(All lengths are in millimeters.)
Answer:
a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]
b) Area of one lateral face = [tex]24\ mm^{2}[/tex]
c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]
d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]
Step-by-step explanation:
We are given the following dimensions of the triangular pyramid:
Side of triangular base = 6mm
Height of triangular base = 5.2mm
Base of lateral face (triangular) = 6mm
Height of lateral face (triangular) = 8mm
a) To find Area of base of pyramid:
We know that it is a triangular pyramid and the base is a equilateral triangle. [tex]\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\[/tex]
[tex]{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}[/tex]
b) To find area of one lateral surface:
Base = 6mm
Height = 8mm
Using equation (1) to find the area:
[tex]\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}[/tex]
c) To find the lateral surface area:
We know that there are 3 lateral surfaces with equal height and equal base.
Hence, their areas will also be same. So,
[tex]\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}[/tex]
d) To find total surface area:
Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base
[tex]\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}[/tex]
Hence,
a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]
b) Area of one lateral face = [tex]24\ mm^{2}[/tex]
c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]
d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]
Answer:
Sample answer A triangular pyramid with an equilateral triangle for a base has four faces the equilateral triangular base and
three congruent isosceles triangular faces
Step-by-step explanation:
Which of the following expressions divides evenly into the polynomial x2 + 2x - 24?
A. X-2
B. X-6
C. X + 2
D. x + 6
E. X + 4
Answer:
B. X-6 and E. X + 4
Step-by-step explanation:
B. X-6
(-6)^2 + 2(-6) - 24
36 - 12 - 24
36 - 36 = 0
E. X + 4
(4)^2 + 2(4) - 24
16 + 8 - 24
24 - 24 = 0
Suppose matrix D is the inverse of matrix C. Which of the following is equal to D?
O CDD
O CCD
O DDD
O CCC
==========================================
Explanation:
C and D are inverses of each other. When they multiply together, they will produce the identity matrix I
C*D = I
D*C = I
note: this is the uppercase letter 'i' and not the number one. The 'i' stands for 'identity'. Another thing to note is that matrix multiplication is not normally commutative, but it works for matrix inverses.
--------------------
So this means C*D*D = (C*D)*D = (I)*D = I*D = D because multiplying the identity matrix with some matrix X leads to the same matrix X.
This is why the first choice is the answer.
The second choice doesn't work because C*C*D = C*(C*D) = C*(I) = C*I = C
The third choice doesn't work because we don't have any C's here. All we can say is that D*D*D = D^3
Similarly choice 4 doesn't work as all we can say is C*C*C = C^3.
identify the next three terms in the geometric sequence 5, 10, 20, 40, ...
Find the equivalent expression.
2^2
Answer:
4
Step-by-step explanation:
2 times by itself would make 4
Hope this helps
God loves you
You invest $5,000.00 with 5% quarterly compounded interest. You add $1,000.00 each year. At the end of five years, you will
have______________.
a
$10,228.50
b
$9,228.50
c
$11,228.50
d
$12,228.50
ASAP
Find the answer for this brain teaser, please!!!!
Answer:
6
Step-by-step explanation:
There are five inside the box and when you include the large rectangle that is the box, it's 6
• Model 3 + (-4) on the number line.
6
8
5
1
2
4
1
0
3
9
3
10
4
6
7
2
5
8
10 9
7
Answer:
-7
Step-by-step explanation:
because 3+ (-4)
= first add 3 + 4 and then you will get 7
then put sing of - because there is a sing of subtraction before 4 that why the answer will be -7
Nina recorded collected data on the number of tickets that people had received and how many accidents they had been in. She made a scatterplot of her data. What is the best line of fit for this data? A) y = x - .75 B) y = -x - .75 C) y = 5 7 x + 1 D) y = -( 5 7 x + 1)
Answer:
C
Step-by-step explanation:
How do I figure this out ?
Answer:
0.0082
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = - [tex]\frac{1}{3}[/tex] , thus
[tex]a_{6}[/tex] = - 2 [tex](-\frac{1}{3}) ^{5}[/tex] = - 2 × - [tex]\frac{1}{243}[/tex] = [tex]\frac{2}{243}[/tex] ≈ 0.0082 ( nearest ten- thousandth )
HELP ASAP 30 POINTS!~!!!
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
Please respond with the format showed on the picture so use . after the letter and display the answer.
Answer:
c
Step-by-step explanation:
(24 - 15) x 4 - 3 x 2
9 x 4 - 3 x 2
36 - 6
30
A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is
equally likely to occur. Construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find
the probability that a sequence will contain exactly one 0.
A. 000, 001, 010, 011, 100, 101, 110, 111; the probability is 7/8
B. 001, 011, 101, 111; the probability is 2/8
C. 000, 010, 011, 101, 111, the probability is 2/8
D. 000, 001, 010, 011, 100, 101, 110, 111, the probability is 3/8
Answer:
A
Step-by-step explanation:
on edge2021
The probability that a sequence will contain exactly one zero is true in options {B}, {C} and {D}.
We can write the formula for probability as -
P{Event} = (no. of favorable outcomes)/(Total no. of favorable outcomes)
For the sequence {A} -
000, 001, 010, 011, 100, 101, 110, 111
P{one zero} ≠ 7/8
For the sequence {B} -
001, 011, 101, 111
P{one zero} = 7/8
For the sequence {C} -
000, 010, 011, 101, 111
P{one zero} = 2/8
For the sequence {C} -
000, 001, 010, 011, 100, 101, 110, 111
P{one zero} = 3/8
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Find the area of the trapezoid.
Answer:
49
Step-by-step explanation:
Area for a trapezoid is A=(a+b/2)h
A = ((4 + 10)/2)
A = (7)*h
A = 7*7
A = 49
Answer:
96
Step-by-step explanation:
3 x 4= 12
3 x 7=21
21
x 4
___
84
+12
___
96
A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:
Exactly two balls are yellow
Answer:
1/6 is the probability. im pretty sure
Can anyone help me with number 1? If you want to you can do all 3
Answer:
1.b = 7500[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Answer:
Number 1 Answer: 1.b = 7500\sqrt{3}
Step-by-step explanation:
What are the rules of simplifying exponents?
Answer:
To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.
Step-by-step explanation:
In a group of 30 people, 10 drink milk but not tea 5 drink tea
but not milk and 13 drink neither tea nor milk. find how many people drink both tea and milk.
Answer:
2
Step-by-step explanation:
10 + 13 + 5 = 28 who drink either, or, or neither
30 - 28 = 2
Answer:
2 drink both tea and milk
Step-by-step explanation:
30 people - 13 drink neither = 17 - 10 drink milk but not tea = 7 - 5 drink tea but not milk = 2 drink both tea and milk.
-5 3/4 - 3 1/2=
plzzzzzzzzzzz help me
Answer:
-9 and 1/2
Step-by-step explanation:
just plug them in the calculator
Answer:
-2 1/4
Step-by-step explanation:
I converted these to decimals and did the equation from there.
What is the numerator of the next term in the arithmetic sequence?
1/2 2/2 3/2 4/2
Answer:
5
Step-by-step explanation:
The numerator is the value on top, above the denominator. In an arithmetic sequence you are increasing by the same amount each time. In this case, you are increasing by 1/2 each time. 4/2 plus 1/2 is 5/2, so your numerator is 5.
Which of the following number sentences is an example of the associative property of multiplication?
4 × 5 = 5 × 4
6 × 1 = 6
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
Which of the following pairs of values for x and y would justify the claim that the two triangles are congruent?
Answer: x=3 ,y=11
Step-by-step explanation:
