Answer: 15x+30
Step-by-step explanation:
The value of 5(3x+6) is 15x+30
What is the distributive propertyTo “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Given that;
[tex]5(3x+6)[/tex]
/ \
[tex]15x+30[/tex]
Therefore, The value of 5(3x+6) is 15x+30
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Which choice is equal to 66
6
6
+ 66
6
6
+ 66
6
6
+ 36
3
6
+ 26
2
6
?
There are 11 1/8 picec that equals 1 3/8
A square based pyramid has a surface area of 111.6 in2. The sides of the base
of the pyramid measure 4 inches. What is the slant height of the figure?
Answer:
11.95 in
Step-by-step explanation:
We can find the slant height of a square-based pyramid by solving the area formula for the unknown value.
__
The formula for the area of a square-based pyramid can be written ...
A = s(s +2h)
where s is the side of the square base, and h is the slant height.
Filling in the given values, we can solve for h:
111.6 = 4(4 +2h)
27.9 = 4 +2h . . . . . divide by 4
13.95 = 2 +h . . . . . divide by 2
11.95 = h . . . . . . . . subtract 2
The slant height of the figure is 11.95 inches.
PLEASE HELP ME IM HONESTY SO CONFUSED WITH THE ANSWERS GIVEN
Answer:
C. The sum of 18 and half the product of 9 and 4.
What is the solution to the equation?
5 = 2/5 a
O 2
O 4 3/5
O 12 1/2
O 25
Answer:
Option C, [tex]12\frac{1}{2}[/tex]
Step-by-step explanation:
Step 1: Multiply both sides by 5/2
[tex]5 = \frac{2}{5}a[/tex]
[tex]5 * \frac{5}{2} = \frac{2}{5}a * \frac{5}{2}[/tex]
[tex]\frac{25}{2}=a[/tex]
[tex]12\frac{1}{2}=a[/tex]
Answer: Option C, [tex]12\frac{1}{2}[/tex]
Hope this helps! Let me know if you have any questions
PLEASE WILL GIVE 50 POINTS PLEASE ANSWER
Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\sf \tan(A)=\dfrac{60}{45}[/tex]
Therefore:
side opposite angle A = BC = 60side adjacent angle A = AC = 45To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:
[tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:
[tex]\implies\sf \tan(A)=\dfrac{60}{45}[/tex]
[tex]\implies\sf A=\tan^{-1}\left(\dfrac{60}{45}\right)[/tex]
[tex]\implies\sf A=53^{\circ}\:(nearest\:degree)[/tex]
m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°
A delivery truck drove 40 miles per hour. It took 2 hours to travel between two towns. What is the distance between the two towns
Answer:
80 miles
Step-by-step explanation:
40 miles per hour means you move 40 miles in one hour.
If it took 2 hours to travel between the two towns at 40 mph, multiply 40 by 2 and you get 80.
Hope this helps!
Answer:
your answer would be 80 miles
What is the exact value of tan 75?
Answer:
2 + √3.
Step-by-step explanation:
tan 75 = tan (45 + 30)
= (tan 45 + tan 30) / (1 - tan 45 tan 30)
= ( 1 + 1/√3) / (1 - 1*1/√3)
= (1 + √3) / √3 * √3 / (√3 - 1)
= √3 + 1/ √3 - 1
Multiply top and bottom by √3 + 1;
= (√3 + 1)(√3 + 1) / (√3 - 1)(√3 + 1)
= 3 + 2√3 + 1 / (3 - 1)
= (4 + 2√3) / 2
= 2 + √3.
Stacy recorded the number of minutes she used her
smartphone each day for one week before using an
app that awards points for decreased phone usage,
and for one week after using the app. Stacy's
alternative hypothesis is Ha:X< 114.6.
Before 103 127 87 12495 136 130
After 83 94 1201057598 96
Stacy used a simulation to randomize her data 200
times. She found that the difference between sample
means over 200 trials is approximately normally-
distributed, with a mean of -0.2 and a standard
deviation of 9.1. Which of the following conclusions
is most appropriate?
Phone use did not change.
Phone use increased and then decreased.
Phone use increased.
Phone use decreased.
Using the t-distribution, it is found that the most appropriate conclusion for the hypotesis test is given by:
Phone use did not change.
What are the hypothesis tested?At the null hypothesis, we test if the mean has not changed, that is:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, we test if it has changed, that is:
[tex]H_1: \mu \neq 0[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, the values of those parameters are as follows:
[tex]\overline{x} = -0.2, \mu = 0, s = 9.1, s = 200[/tex]
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{-0.2 - 0}{\frac{9.1}{\sqrt{200}}}[/tex]
t = 0.31.
What is the conclusion?Considering a two-tailed test, as we are testing if the mean is different of a value, with a standard significance level of 0.05 and 200 - 1 = 199 df, the critical value is of [tex]|t^{\ast}| = 1.972[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and the conclusion is:
Phone use did not change.
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What are all the rational roots of the polynomial f(x) = 20x4 x3 8x2 x – 12? negative four-fifths and three-fourths negative four-fifths and negative three-fourths –1, negative four-fifths, three-fourths, and 1 –1, negative four-fifths, negative three-fourths, and 1
The root of the polynomial f(x) = 20x⁴ + x³ + 8x² + x - 12 is at the point -4/5 and 3/4
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the polynomial:
f(x) = 20x⁴ + x³ + 8x² + x - 12
The root of the polynomials is at the point the graph of f(x) intersects with the x axis. This is at -4/5 and 3/4
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Answer:
A
Step-by-step explanation:
Did it on edge :)))
Mr. conner is placing stone tiles to make a patio. each tile is 1 square foot. the drawing shows the dimensions of his patio. a quadrilateral is broken into a triangle and rectangle. the triangle has a base of 20 feet and a height of 6 feet. the rectangle has a base of 20 feet and a height of 12 feet. how many total stone tiles will mr. connor need for the patio? 240 stone tiles 300 stone tiles 360 stone tiles 480 stone tiles
300 stone tiles would be needed to make a patio that has a total area of 300 ft²
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Area of triangle = (1/2) * base * height = 0.5 * 20 ft * 6 ft = 60 ft²
Area of rectangle = base * height = 20 ft * 12 ft = 240 ft²
Total area of patio = 60 ft² + 240 ft² = 300 ft²
Number of stone tiles needed = 300 ft² / 1 ft² = 300
300 stone tiles would be needed to make a patio that has a total area of 300 ft²
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Answer:
300
Step-by-step explanation:
B
A hat contains four slips of paper. The slips of paper are numbered 3, 3, 6, and 8. One slip of paper is randomly selected and not replaced, and then a second slip of paper is selected. the numbers on the two slips of paper are added together.
A fair decision is to be made about which one of three sizes of coffee will be ordered, using the sum of the numbers on the slips of paper.
The coffee size options are small, medium, and large.
Which description accurately explains how a fair decision can be made in this situation?
A.) If the sum of the slips of paper is 9, a small coffee will be ordered. if the sum of the slips of paper is 11, a medium coffee will be ordered. If the sum of the slips of paper is 6 or 14, a large coffee will be ordered.
B.) If the sum of the slips of paper is 9, a small coffee will be ordered. if the sum of the slips of paper is 6, a medium coffee will be ordered. If the sum of the slips of paper is 11 or 14, a large coffee will be ordered.
C.) If the sum of the slips of paper is 9, a small coffee will be ordered. if the sum of the slips of paper is 14, a medium coffee will be ordered. If the sum of the slips of paper is 6 or 11, a large coffee will be ordered.
D.) If the sum of the slips of paper is 14, a small coffee will be ordered. if the sum of the slips of paper is 9, a medium coffee will be ordered. If the sum of the slips of paper is 6 or 11, a large coffee will be ordered.
The option that accurately fit the description that explains how a fair decision can be made in this situation is option A - the sum of the slips of paper is 9.
What is Random selection?This is known to be scientific method used when each unit in a population is known or said to have an equal chance of been selection for any inclusion into a sample.
The option that accurately fit the description that explains how a fair decision can be made in this situation is option A - the sum of the slips of paper is 9, a small coffee will be ordered. if the sum of the slips of paper is 11, a medium coffee will be ordered. If the sum of the slips of paper is 6 or 14, a large coffee will be ordered.
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What is the trigonometric ratio for sin Z?
Enter your answer, as a simplified fraction, in the boxes.
Answer:
[tex] \large { \purple{ \sf {The \: value \: of \: sin \: Z \: is} \sf \frac{3}{5} }}[/tex]
Step-by-step explanation:
[tex] \large{\underline{\underline{\pink{\sf{To \: \: find :-}}}}}[/tex]
[tex] \textsf{The value of Sin Z}[/tex]
[tex]\large{\red{\underline{\textsf{Given :-}}}}[/tex]
YZ (B) = 32 (which the base of the triangle)
XZ (H) = 40 (which is the hypotenuse of the triangle)
[tex] \textsf{ \huge { \underline{ \orange{Solution :-}}}}[/tex]
[tex] \sf{The \: formula \: to \: find} \sin Z = \frac{P}{H} \\ \textsf{which \: means} \\ \sf \rightarrow \frac{perpendicular}{hypotenuse} [/tex]
But here we don't have perpendicular so we use Pythagoras theorem to find perpendicular
[tex]{ \sf {(perpendicular)}^{2} + \sf{(base)}^{2} = \sf {(hypotenuse)}^{2} } \\ \sf {(P)}^{2} + \sf {(B)}^{2} = \sf {(H)}^{2} [/tex]
let here P = P
[tex] \sf {(P)}^{2} + {(32)}^{2} = {(40)}^{2} \\ \sf {P}^{2} + 1024 = 1600 \\ \sf {P}^{2} = 1600 - 1024 \\ \sf {P}^{2} = 576 \\ \sf P = \sqrt{576} \\ \sf P = 24[/tex]
Now we to find Sin ZPH
[tex] \sf \ \sin Z = \frac{P}{H} \\ \implies \frac{24}{40} \\ \implies \frac{6}{10} \\ \implies \frac{3}{5} [/tex]
Find the missing value so
that the two points have a
slope of 2/7.
(-1,-1) and (x,1)
Answer:
x = 6
Step-by-step explanation:
Slope = (y(2) - y(1))/(x(2) - x(1))
(-1 - 1) / (-1 - x)
If the slope is 2/7, it would be (-2/-1-x, where x would have to be 6)
(-2)/(-7) = 2/7, so x = 6
Check:
(-1 - 1) / (-1 - 6)
(-2)/(-7)
2/7 (Correct :))
Hope it helps :D
a photograph measuring 8 cm by 10cm costs 440 naira. what will be the cost of an enlargement measuring 20cm by 25cm
Answer:
2750
Step-by-step explanation:
Remark
You have to assume that this can be solved by using a proportion. A proportion is 2 equal ratios. Three parts of the 2 ratios must be known and your job is to find the 4th one.
Equation
w*L/C1 = w1*L1 / x
Solution
w = 8
L = 10
w1 = 20
L1 = 25
C1 = 449
C2= x
Solution
8*10/440 = 20*25/x Combine
80/440 = 500 / x Cross Multiply
80x = 440*500 Combine
80x = 220000 Divide by 80
x = 220000/80
Answer
x = 2750
The functions f(x) and g(x) are described using the following equation and table:
f(x) = −3(1.02)x
x g(x)
−1 −5
0 −3
1 −1
2 1
Which statement best compares the y-intercepts of f(x) and g(x)? (5 points)
Group of answer choices
The y-intercept of f(x) is equal to the y-intercept of g(x).
The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
Answer:
A) The y-intercept of f(x) is equal to the y-intercept of g(x).Step-by-step explanation:
Given functions f(x) and g(x).
What is the y-intercept?The y-intercept is the output of the function with the input of zero.
In other words the y -intercept is:
f(0) for f(x) and g(0) for g(x)Let's determine the y-intercept of the given functions:
f(0) = - 3(1.02)⁰ = - 3(1) = - 3g(0) = - 3 according to tableWe see both functions have same y-intercept with the value of -3.
The matching answer choice is A.
help ya girl out real quick!! 50 points for rewardd!
Answer:
Slope is 1
Step-by-step explanation:
Slope=RISE/RUN
You can see the slope is constant. To clarify we can do an example.
So rise can be 2
And run is also 2
Change in y is equal to change in x
so 2/2=1
Hope it helps
Slope
m=y2-y1/x2-x1m=2-0/6-4m=2/2m=1If Madison had 10 apple and gave 3 away to Zack how many apples does she have
Answer:
7 i think because 10-3 =7
also 3+7 =10
Step-by-step explanation:
Answer:
Its 7 because it you do 10-3 it would equal up to 7
Step-by-step explanation:
What is the value of x in the triangle?
2xº
25°
25°
Answer:
130 degrees
Step-by-step explanation:
2x+25+25=180
2x=130
Answer:
65°
Step-by-step explanation:
25+25+2x= 180(sum of all the angles of a triangle)
2x= 180-50
x=130/2= 65
Find the value of the variable x (2x+12) and 8x-18
Answer: Below
Step-by-step explanation:
Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract
Answer:
Step-by-step explanation:
Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract
PLEASE ANSWER AS SOON AS U Can
Answer: 3082.2
Step-by-step explanation:
Answer: 3,082.2 ft
Step-by-step explanation:
You must apply the formula for calculate the perimeter of a circle, which is:
P=πd where,
P is the perimeter of the circle. (P=9,687 ft)
d is the diameter of the circle.
When you solve for d, you get:
d = P/π
d = (9,687 ft)/(22/7)
d = 3,082.2 ft
Therefore, the answer is: 3,082.2 ft
Solve for v in terms of w, x, y, and z.
ZW = -yxv
V=
Answer:
V= -WZ/xy
Step-by-step explanation:
-yxV=ZW
V=-ZW/yx
V=-ZW/yx
V=-WZ/xy
A spinner is divided into 4 equal sectors that are colored green, red, yellow, and blue. The number of times the spinner lands on each color is listed below. image Which statement best explains whether the results listed in the table should cause the probability model for the given situation to be questioned?
The probability of landing on the 4 spinners divided into four equal parts will be P=25%
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Here the spinner is divided into four parts of the colours green, red, yellow, and blue.So the number of the sample variable are:-
P(S)=[red,green,yellow,blue]=[4]
The favourable outcome is given as:-
F[s]=[1]
So the probability will be given by:-
P={1}÷{4}=0.25=0.25x 100=25\%
Hence the probability of landing on the 4 spinners divided into four equal parts will be P=25%
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b) 7 of these cuboids of side 3 cm are put together to make this shape. Find the surface area of this shape. (3) Total marks: 5
Answer: 504 cm^2
The surface area of the shape is:
3 3 * 3=9
9 * 7=63
63+9=72 * 7
=504cm^2
find the values of x and y. then find the measures of the interior angles of the polygon
The value of x and y are 9 and 6. Then the measure of the angles ∠A, ∠B, ∠C, and ∠D will be 54°, 36°, 126°, and 144°.
What is a cyclic quadrilateral?If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.
We know the sum of the opposite angle of the cyclic quadrilateral is 180°.
Then we have
14x + 9y = 180 ...1
4x + 24y = 180 ...2
By solving the equations 1 and 2, we have
x = 9 and y = 6
Then the measure of the angle will be
∠A = 9y = 9 × 6 = 54°
∠B = 4x = 4 × 9 = 36°
∠C = 14x = 14 × 9 = 126°
∠D = 24y = 24 × 6 = 144°
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Can some one please help me ?
Answer:
B. 13.5 in ^2
Just use the formula : 1/2 h ( a + b )
If in the case you need any other help , let me know. [ You need to pay me] :) Thanks!
One angle of a right triangle measures 24°. What is the measure of the other acute angle?
Answer:
66 °
Step-by-step explanation:
Given:
One angle of a right triangle measures 24°.
To Find:
What is the measure of the other acute angle?
Solve:
Note:
Total angles in a triangle 180 degree
Right Triangle ⇒ 90 degree
Let "x" be the measure of the other acute angle
90° + 24° + x = 360°
114° + x = 180°
x = 66°
Kavinsky~
What percent is equivalent to the fraction 7/10
Enter your answer in the box.
Answer:
70%
Step-by-step explanation:
Two Steps to Convert a Fraction to a Percent
Use division to convert the fraction to a decimal:
7/10 = 7 ÷ 10 = 0.7
Multiply by 100 to get the percent value:
0.7 × 100 = 70%
Therefore the answer is 70%.
HELP ASAP
PLEASE HELP what is the measuring
Answer:
Step-by-step explanation:
Remark
No wonder you are posting this. You should never have to rely on a diagram to get an answer, and this diagram is particularly unreliable. What exactly does the peak mean? Does it tell you that the peak is both y and 20 degrees? I'm going to assume so. But it is a very shakey assumption.
Pick a triangle with 2 ys in it. The third angle hits one of the sides of the triangle. Every triangle has 180 degrees. The top angle is 20 degrees and all ys therefor are 20 degrees. So the third angle is y + y + x =180
The 2xs are in a quadrilateral near the top. All quadrilaterals have 360 degrees. q and one of the angles are vertically opposite. q is then known.
Givens
y = 20
third angle = x
solution
triangles with 2 ys (isosceles)
y + y + x = 180
2y + x = 180
y = 20
2*20 + x = 180
40 + x = 180
x = 140
Quadrillateral
140 + 140 + 20 + vertically opposite q = 360
300 + vertically opposite q = 360
vertically opposite q = 360 - 300
vertically opposite q = 60
Answer
q = 60
Please answer these questions for me
Answer:
Do reciprocal of that and diameter formula and when your answer will come me just do square multiple of that
A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number less than 4 or greater than 8 in a single spin?
Answer:
i believe its 5/10 or 1/2
Step-by-step explanation:
