Answer:
angle BAC = 57.84°
Step-by-step explanation:
To find angle BAC given AB=6cm BC= 13 cm and ACB=23°
we will follow the steps below;
we can use the sine formula to solve the problem given
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin C}{c}[/tex]
from the question given;
A = ?
C = 23°
c=AB = 6 cm
a=BC = 13 cm
substitute the values into the formula above
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin C}{c}[/tex]
[tex]\frac{sin A}{13}[/tex] = [tex]\frac{sin 23}{6}[/tex]
cross -multiply
6 sinA = 13 sin23°
sin A = 13 sin23° / 6
sin A = 0.84658
take the [tex]sin^{-1}[/tex] of both-side
[tex]sin^{-1}[/tex] sin A = [tex]sin^{-1}[/tex] (0.84658)
on the left-hand side of the equation [tex]sin^{-1}[/tex] will cancel-out sin leaving us with just A
A = [tex]sin^{-1}[/tex] (0.84658)
A ≈ 57.84°
angle BAC = 57.84°
I’m lazy to do this XD But I’m kinda confused
Answer:
1) 20 Students 2) 5 Students 3) 11 Students
Step-by-step explanation:
1) Count how many numbers are there (not digits)
2) Count the number of 3's and 4's found
3) Count the number of times a number equal to or greater than 6 appears in the data range.
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
ishaan is 21
chris is 7
Step-by-step explanation:
Subs 3C from (1) for I in(2):
3C = C + 14 —> C = 7, I = 21
I need help with this can someone please please help me
Answer:
SAS
Step-by-step explanation:
Describe the location of the point having the following coordinates. negative abscissa, positive ordinate Answer Choices A).Quadrant | B).Quadrant || C)Quadrant ||| D). Quadrant |V
Can someone help me please
Answer:
Can't properly see the question mate
Step-by-step explanation:
Answer:
165
Step-by-step explanation:
A whole line equals to 180 degrees.
180-15=165
Hope this helps plz mark brainliest!
Shawna works at a local pet store. When she works 3 hours, she earns $27. When she works 8 hours, she earns $72. Which equation represents her total wages y based on the hours that she works x?
Answer:
8+3=w 27+72=x
Step-by-step explanation:
Answer:
y = 9x
Step-by-step explanation:
What is the solution of each proportion?
Answer:
The polygons are not similar.
Step-by-step explanation:
They do not have proportional side lengths, so they are not the same
Answer:
The polygons are not similar.
A carpenter must pick up a wooden beam from the Home Depot. The wooden beam is 12 feet long. The bed of his truck is 5.5 ft by 8 ft by 2 ft. If he puts the beam in the bed diagonally, how much will the beam stick out the back of the truck
Answer:
Beam stick out = 2.09 ft
Step-by-step explanation:
Given:
Length of wooden beam = 12 ft
Side of bed = 5.5 ft by 8 ft by 2 ft
Find:
Length of wooden beam needed.
Computation:
[tex]Length\ of \ diagonal = \sqrt{a^2+ b^+ c^} \\\\\\ Length\ of\ diagonal = \sqrt{5.5^2+ 8^2+ 2^2}\\\\ Length\ of\ diagonal = \sqrt{30.25+64+4}\\\\Length\ of\ diagonal = \sqrt{98.25}\\\\Length\ of\ diagonal = \sqrt{30.25+64+4}\\\\Length\ of\ diagonal = 9.91[/tex]
Length of wooden beam needed = 9.91 ft
Beam stick out = 12 ft - 9.91 ft
Beam stick out = 2.09 ft
A bag of 60 skittles has an equal amount of red, orange, yellow, green, and purple what is the probability of choosing a green
Answer:
1/5
Step-by-step explanation:
60 /5 = 12
So there are 12 red, 12 orange, 12 yellow, 12 green, 12 purple
P(green) = green/ total = 12/60 = 1/5
Answer:
If a bag of skittles has and equal amount of red,orange,yellow,green and purple there are 60 colors and 5 colors so 60 skittles and 5 colors divided give u 12 so that means that there are 12 skittles of each color so the probability would be 12 out 60 skittles
Step-by-step explanation:
What is the slope of the line that passes through the points (-9,2) and (1,27)? Write your answer in simplest form
Answer:
5/2
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
= (27-2)/(1 - -9)
= (27-2)/(1+9)
= 25/10
5/2
Plz answer fast with steps
The product of two consecutive odd numbers is 10 more than the square of the smaller number.Find the smaller number.
If you answer i will give you 50 points
Answer: 5 and 7
Step-by-step explanation:
(x)*(x+2)-10=(x)^2
x^(2)+2x-10=x^2
x^(2)+2x=x^2+10
2x=10
x=5
x+2=5+2=7
for what value of x would the quotient (2x^2+3x-4÷(×+4) not make sense
Answer:
-4
Step-by-step explanation:
No quotient is defined when the denominator is zero. Here, the denominator will be zero for x = -4.
The value -4 does not make sense for x in this quotient.
A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?
A.2 ft by 6 ft
B.2 ft by 8 ft
C.4 ft by 3 ft
D.4 ft by 4 ft
PLEASE HELP
Answer:
A
Step-by-step explanation:
You can check to see if it is A is you do A = Bh
The base in this question is 6 while the height is 2. To vcheck area you can multiply these to get 12 units squared. To check the perimeter, you can draw a picture. Label each side, you know that there are going to be two 2's and 2 6's so you can add those for the perimeter:
2 + 2 + 6 +6 = 16 units for the perimeter
Bobby makes trail mix for his hiking group. He mixes 1 and one eighth pounds of peanuts, 12 ounces of raisins, 11 ounces of walnuts, and 7 ounces of pretzels. If Bobby divides the trail mix equally among the 8 hikers in the group, how many ounces of trail mix does each hiker receive?
Answer:
If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.
Step-by-step explanation:
He makes a trail mix . He mixed 1 1/8 pounds of peanuts , 12 ounces of raisins, 11 ounces of walnuts and 7 ounces of pretzels. Notice the weight units are not equal to we have to convert the pounds to ounces so all the weight will be in ounces.
1 pound = 16 ounces
1 1/8 pounds = ? ounces
cross multiply
1 1/8 × 16
9/8 × 16 = 18 ounces
Therefore,
His trail mix are
18 ounces of peanuts
12 ounces of raisins
11 ounces of walnuts
7 ounces of pretzels
The total weight = 18 + 12 + 11 + 7 = 48 ounces
Weight of the trail mix = 48 ounces
If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.
The lengths of the sides of these squares are 1 , 4 , 7 , 8 , 9 , 10 , 14 , 15 and 18. What is the area of Morón’s rectangle?
Answer:
1056
Step-by-step explanation:
The computation of the area of the rectangle is shown below;
But for that first we have to compute the area of square which is
As we see in the diagram that there are 9 square sides
i.e 1,4,7,8,9,10,14,15 & 18
And, as we know that
Area of Square is
[tex]= Side^2[/tex]
[tex]1^2 = 1[/tex]
[tex]4^2 = 16[/tex]
[tex]7^2 = 49[/tex]
[tex]8^2 = 64[/tex]
[tex]9^2 = 81[/tex]
[tex]10^2 =100[/tex]
[tex]14^2 = 196[/tex]
[tex]15^2 = 225[/tex]
[tex]18^2 = 324[/tex]
So, the Total Area is
= 1 + 16 + 49 + 64 + 81 + 100 + 196 + 225 + 324
= 1056
Area of rectangle = 1056
So, it can come from
[tex]1056 = 33 \times 32[/tex]
As the area of rectangle is
[tex]= length \times width[/tex]
A similar right triangle would be created by a rise of 8 and a run of
Answer:
It would be a run of 3
Step-by-step explanation:
Answer:
The slope is 4/3, so if the rise is increased by 8, then the run must increase by 6.
Step-by-step explanation:
At Baskin Robbins, you can choose between the flavors (vanilla, chocolate, cookies 'n cream, strawberry, mango sorbet and mint chocolate chip), the number of scoops (1, 2 or 3), and if you want it in a cone or a cup. What is the probability of someone choosing cookies 'n cream ice cream with 2 scoops?
Answer:
[tex]\frac{1}{18}[/tex]
Step-by-step explanation:
Given:
Flavors of ice cream are vanilla, chocolate, cookies 'n cream, strawberry, mango sorbet and mint chocolate chip.
Number of scoops can be 1, 2 or 3.
To find: probability of someone choosing cookies 'n cream ice cream with 2 scoops
Solution:
Probability refers to chances of occurrence of some event. Two events A and B are said to be independent if probability of one event does not depend on the probability of the other event.
For such events,
P(A and B)= P(A)×P(B)
Probability = number of favourable outcomes/Total number of outcomes
In the given question, cookies 'n cream ice cream with 2 scoops can be in a cone or a cup.
Therefore,
probability of someone choosing cookies 'n cream ice cream with 2 scoops =( probability of choosing cookies 'n cream ice cream × probability of having two scoops of ice-cream × probability of having ice-cream in a cup )+ (probability of choosing cookies 'n cream ice cream × probability of having two scoops of ice-cream × probability of having ice-cream in a cone )
= [tex]\left ( \frac{1}{6} \right )\left ( \frac{1}{3} \right )\left ( \frac{1}{2} \right )+\left ( \frac{1}{6} \right )\left ( \frac{1}{3} \right )\left ( \frac{1}{2} \right )[/tex]
=[tex]=\frac{1}{36}+\frac{1}{36}\\=\frac{2}{36}\\=\frac{1}{18}[/tex]
Find the volume of a right circular cone that has a height of 17.7 cm and a base with a diameter of 15.8 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
[tex]1156.8cm^3[/tex]
Step-by-step explanation:
The volume of a cone is given as:
[tex]V =\frac{1}{3} \pi r^2h[/tex]
where r = radius
h = height of cone
The height of the cone is 17.7 cm and its base radius is 7.9 cm (diameter is 15.8 cm).
Its volume is:
[tex]V = \frac{1}{3} * \pi = 7.9^2 * 17.7\\ \\V = 1156.8cm^3[/tex]
Answer:
1157.3cm^3
Step-by-step explanation:
voume of a cone =V=πr^2h^3
Diameter = 15.8cm
Height = 17.7cm
Radius = diameter/2
= 15.8/2 = 7.9cm
Pi = 22/7
V = 22/7 ×7.9×7.9×17.7/3
= 22/7×62.41×5.9
V = 1157.25cm^3
Hence the volume of the cone is 1157.3cm^3
to the nearest 10th
Can someone make sure that the first one is right and can someone help me with the second one please I need to get this right please
Answer:
1. B
2. A
Step-by-step explanation:
1. Here, the figure is reflected over the line depicted. This answer is correct.
2. Here the image shifts down and across, making it a glide.
the terms in the sequence increase by the same amount each time ? ? 17 ? ? 29 a)work out the missing terms b)work out in terms of n the nth term of the sequence
Answer:
The missing terms are 9,13,21 and 25
The nth term is 4n + 5
Step-by-step explanation:
From the arrangement, we can see that 17 is the third term while 29 is the 6th term
Now is this sequence arithmetic or geometric?
Since it increases by the same amount each time, then it is an arithmetic sequence.
Mathematically the third term in an arithmetic sequence with first term a and common difference d is ;
a + 2d = 17 •••••(i)
While for the sixth term, we have
a + 5d = 29 ••••••(ii)
The equations are obtainable for the nth term of an arithmetic sequence which can be written as;
Tn = a + (n-1)d
where a is the first term, n is the term number and d is the common difference
Now solving both equations simultaneously;
We can subtract equation i from ii
Thus;
5d-2d = 29-17
3d= 12
d = 12/3 = 4
we can substitute the value of d in any of the equations to get a
let’s use 1
That would be;
a + 2d= 17
a + 2(4) = 17
a + 8 = 17
a = 17-8
a = 9
Now the first term is 9
Second would be 9 + 4 = 13
Fourth would be 3rd + d = 17 + 4 = 21
Fifth would be 4th + d = 21 + 4 = 25
So the sequence now correctly arranged would be;
9,13,17,21,25,29
where 9,13,21 and 25 are the missing terms
b. Mathematically the nth term of the sequence is
a + (n-1)d
let’s substitute the values of a and d , we have
9 +(n-1)4
9 + 4n-4
4n + 5
When a number is doubled and then taken away from ten, the result is negative eighteen. What is the
number?
Answer:
14
Step-by-step explana:
Let the required number be x
Therefore, according to the given condition:
10 - 2x = - 18
10 + 18 = 2x
28 = 2x
x = 28/2
x = 14
Hence, the required number is 14.
the distance between the points (-3,0) and (4,0) is
Answer:
[tex] \sqrt{7} [/tex]
Step-by-step explanation:
[tex] \sqrt{(4 - ( - 3) + (0 - 0)} [/tex]
[tex] \sqrt{(4 + 3) + 0} [/tex]
[tex] \sqrt{7 + 0} [/tex]
[tex] \sqrt{7} [/tex]
Answer:
7
Step-by-step explanation:
Two points P1 (x1,y1) and P2(x2,y2)
d=SQRT((x2-x1)^2+(y2-y1)^2))
choose your points
let (-3,0) be (x1,y1)
let (4,0) be (x2,y2)
Substitute the values into the equation
SQRT((4-(-3))^2+(0-0)^2))
Simplify
SQRT(7^2+0)
Square root of 7 squared is 7 or -7, however distance cannot be negative so the answer is 7
This applies to all two points however there is a faster solution for these two points as they have the same y value meaning you could've just drawn a line between these two points on a Cartesian plane and counted 7.
Find the sticker price for a vehicle with the following features and costs: suggested retail price of $15,250, destination charge of $359, equipped with AC, tinted window, and a custom sound system for $800, $210, and $490, respectively.
$16,260
$17,109
$16,050
$16,850
Answer: The correct answer would be $17,109.
Step-by-step explanation:
The reasoning behind this answer is quite simple and easy to approach.
The suggested retail price is the base price for the vehicle and any other prices presented in the problem would be in addition to the base price.
So, with this information, we know that the base price is $15,250 and that the additional options would be $359 + $800 + $210 + $490.
Therefore, after completing the math for the additional options and adding them to the base price, you will receive the final cost of $17,109.
which of the following is the coefficient in the algebraic expression 5y-z3
Answer:
The coefficient is 5
Step-by-step explanation:
A number on its own is called a Constant. A Coefficient is a number used to multiply a variable (4x means 4 times x, so 4 is a coefficient) Variables on their own (without a number next to them) actually have a coefficient of 1 (x is really 1x)
please mark brainliest!
which are true regarding the statement
Answer:
1. It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”
2. The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.
5. The conclusion is: it is a trapezoid.
Step-by-step explanation:
→The answer would be the first because it can be written as a statement like this. The statement is also proven to be true.
→The answer would be the second because it is a hypothesis statement. It is using the information of a "quadrilateral," and "one pair of parallel opposite sides," to form an answer/conclusion.
→The answer would be the last/fifth because the conclusion of the statement is that the unknown shape is actually a trapezoid, based on the information that has been provided to us.
How many grams of water would require 4000 joules of heat to raise its temperature from
65°C to 100°C? The specific heat of water is 4.181?
Answer: 27.33 g water
Step-by-step explanation:
For this problem, we will need to use the equation for heat: q=mCΔT. Since we are given heat, change in temperature, and specific heat, all we have to do is plug them in to find grams.
4000J=m(4.181J/g°C)(100-65°C) [find change in temperature]
4000J=m(4.181J/g°C)(35°C) [divide both sides by specific heat and change in temperature]
m=27.33 g
Work out 97.974436 + 14 give your answer to 2 decimal places
Answer:
111.97
Step-by-step explanation:
97+14=111
to 2dp =.97
•°•=111.97
Need help please guys.
Answer: x= 21.6
Step-by-step explanation:
12^2 + 18^2 =x^2
144 + 324 =x^2
468 = x^2
c= 21.633
To the nearest tenth place is c= 21.6
Solve the following equation. Then place the correct number in the box provided. 3y + 2 ≥ 5y +8
Answer:
[tex]y\leq -3[/tex]
Step-by-step explanation:
[tex]3y+2 \geq 5y+8 \\\\3y\geq 5y+6\\\\-2y\geq 6\\\\y\leq -3[/tex]
Hope this helps!
Answer:
-3 ≥y
Step-by-step explanation:
3y + 2 ≥ 5y +8
Subtract 3y from each side
3y-3y + 2 ≥ 5y-3y +8
2 ≥ 2y +8
Subtract 8 from each side
2-8 ≥ 2y +8-8
-6 ≥ 2y
Divide by 2 on each side
-6/2 ≥ 2y/2
-3 ≥y
Erin built a wooden box to hold hay on her farm. Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to completely fill the box with hay?
Here is the complete question.
Erin built a wooden box to hold hay on her farm.The box is 3 \text { m}3 m3, start text, space, m, end text long, 1 \text { m}1 m1, start text, space, m, end text wide, and 1 \text { m}1 m1, start text, space, m, end text high.Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to completely fill the box with hay?
Answer:
it cost $42 to completely fill the box with hay
Step-by-step explanation:
Given that :
The length of the wooden box = 3m ; the width of the box = 1m and the height of the box = 1 m; we can easily determine the volume of the rectangular wooden box;
We all know it would assume the shape of a rectangular prism and it's volume = L × W × H
Thus; the volume of the box = . 3 m × 1 m × 1 m = 3 m³
However, the question proceeds by stating it that the wooden box cost $14 per cubic meter;
So , if 1 cubic meter = $14;
three cubic meters = $14 × 3 = $42
Hence; it cost $42 to completely fill the box with hay