Homemade applesauce is one of Duncan's favorite foods, so he bought 10 pounds of apples at the farmers' market. His applesauce recipe says that 8 ounces of apples make 1 cup of applesauce. How many cups of applesauce can he make with 10 pounds of apples?
Answer:
20 cups of applesauce
Step-by-step explanation:
8 ounces = 0.5 pounds
Pounds of apples : cups of applesauce
0.5 pounds : 1 cup = 10 pounds : x cups
0.5/1 = 10/x
0.5*x = 1*10
0.5x = 10
x = 10/0.5
x = 20 cups of applesauce
10 pounds of apples will make 20 cups of applesauce
P, Q & R form a right-angled triangle.
R, S & P lie on a straight line.
PS = SQ and
∠
SQR = 46°.
Work out
∠
RPQ
Answer:
m<RPQ = 22°
Step-by-step explanation:
Given:
m<SRQ = 90°
PS = PQ
m<SQR = 46°
Required:
m<RPQ
Solution:
m<SQR + m<SRQ + m<RSQ = 180°
Substitute
46° + 90° + m<RSQ = 180°
m<RSQ = 180° - 136°
m<RSQ = 44°
Find m<PSQ:
m<PSQ = 180° - m<RSQ (Angles on a straight line
m<PSQ = 180° - 44° (Substitution)
m<PSQ = 136°
Find m<RPQ:
∆QSP is an isosceles triangle with two equal base angles. Therefore:
m<RPQ = ½(180° - 136°)
m<RPQ = 22°
An angle measures 62.6° less than the measure of its complementary angle. What is the
measure of each angle?
and
Answer:
The angles are 13.7 degrees and 76.3 degrees
Step-by-step explanation:
Let the complementary angle be x
When two angles are complementary, they add up to 90 degrees
So if one is x , the other would be (x-62.6) as stated by the question
so, adding this two will give 90 degrees
We have this as;
x + x -62.6 = 90
2x = 90 + 62.6
2x = 152.6
x = 152.6/2
x = 76.3
The other angle will be;
76.3 -62.6 = 13.7
Mrs. Giavis has 26 marbles in a bag. She has 13 blue marbles, 10 red marbles, and 3 yellow marbles. What is the probably that Mrs. Giavis will pick a blue marble, not replace it, and then randomly pick a red marble?
Given:
Total number of marbles = 26
Number of blue marbles = 13
Number of red marbles = 10
Number of yellow marbles = 3
To find:
The probability of getting a blue marble then a red marble (without replacement).
Solution:
Total number of marbles = 26
Number of blue marbles = 13
Probability of getting a blue marble is first draw is:
[tex]P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}[/tex]
[tex]P(Blue)=\dfrac{13}{26}[/tex]
[tex]P(Blue)=\dfrac{1}{2}[/tex]
After drawing 1 marble, the remaining number of marbles in the bag is 25.
Probability of getting a red marble is second draw is:
[tex]P(Red)=\dfrac{\text{Number of red marbles}}{\text{Remaining number of marbles}}[/tex]
[tex]P(Red)=\dfrac{10}{25}[/tex]
[tex]P(Red)=\dfrac{2}{5}[/tex]
Now the probability of getting a blue marble then a red marble (without replacement) is:
[tex]P(\text{Blue then red})=P(Blue)\times P(Red)[/tex]
[tex]P(\text{Blue then red})=\dfrac{1}{2}\times \dfrac{2}{5}[/tex]
[tex]P(\text{Blue then red})=\dfrac{1}{5}[/tex]
Therefore, the probability of getting a blue marble then a red marble (without replacement) is [tex]\dfrac{1}{5}[/tex].
HELP!!! Simplify cos^2 0 -1/ 4sin^2 0?
We need to simpify the given expression. The given expression to us is ,
Given Expression :-
[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }[/tex]
Using Identity :-
[tex]\sf\implies \red{ sin^2\theta + cos^2\theta = 1}[/tex]
So that :-
[tex]\sf\implies - sin^2\theta = cos^2\theta -1[/tex]
We have :-
[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}} [/tex]
Hence the required answer is -1/4.
The data below represents the number of practices each member of Nidhi's ski team attended.
\qquad25,28,29,29,30,34,35,35,37,3825,28,29,29,30,34,35,35,37,3825, comma, 28, comma, 29, comma, 29, comma, 30, comma, 34, comma, 35, comma, 35, comma, 37, comma, 38
HELP
Which box plot correctly summarizes the data?
The right box plot that summarizes the data should look like the one constructed below in the diagram attached.
We are given the data set 25, 28, 29, 29, 30, 34, 35, 35, 37, and 38, which are already in order and we need to derive the min, max, median, Q1, and Q3 from the given data set. We need all of these values to construct a box plot to summarize the data.
Now, we will find the minimum value which is 25. The maximum value in the data set is 38. The median is the middle value of the data set and it will lie between the 5th and the 6th data points. The average of both values would give us our median data point = (30 + 34) ÷ 2 = 32
Our Q1 would be the middle data point of the bottom half of the data set which is 29. Q3 would be the middle data point of the top half of the data set = 35. As we have derived these values, we can now construct a box plot to summarize the given data.
Therefore, the right box plot that summarizes the data should look like the one constructed below in the diagram attached.
To learn more about box plots;
https://brainly.com/question/14277132
#SPJ1
HELPPPP
please help me answer this question-
Answer:
[tex] \displaystyle GH = 2 \sqrt{30} [/tex]
[tex] \displaystyle FH = 2 \sqrt{10} [/tex]
[tex] \displaystyle m \angle G = {30}^{ \circ} [/tex]
Step-by-step explanation:
QUESTION-2:we are given a right angle triangle
it's a 30-60-90 triangle of which FH is the shortest side
remember that,in case of 30-60-90 triangle the the longest side is twice as much as the shortest side thus
our equation is
[tex] \displaystyle 2FH=4\sqrt{10}[/tex]
divide both sides by 2
[tex] \displaystyle\frac{2FH}{2}= \frac{ 4 \sqrt{10} }{2}[/tex]
[tex] \displaystyle FH =2 \sqrt{10}[/tex]
Question-1:in order to figure out GH we can use Trigonometry because the given triangle is a right angle triangle
as we want to figure out GH we'll use sin function
remember that,
[tex] \displaystyle \sin( \theta) = \frac{opp}{hypo} [/tex]
let our opp, hypo and [tex]\theta[/tex] be GH, 4√10 and 60° respectively
thus substitute:
[tex] \displaystyle \sin( {60}^{ \circ} ) = \frac{GH}{4 \sqrt{10} } [/tex]
recall unit circle:
[tex] \displaystyle \frac{ \sqrt{3} }{2} = \frac{GH}{4 \sqrt{10} } [/tex]
cross multiplication:
[tex] \displaystyle 2 GH = 4 \sqrt{10} \times \sqrt{3} [/tex]
simplify multiplication:
[tex] \displaystyle 2 GH = 4 \sqrt{30} [/tex]
divide both sides by 2:
[tex] \displaystyle GH = 2 \sqrt{30} [/tex]
QUESTION-3:Recall that, the sum of the interior angles of a triangle is 180°
therefore,
[tex] \displaystyle m \angle G + {60}^{ \circ} + {90}^{ \circ} = {180}^{ \circ} [/tex]
simplify addition:
[tex] \displaystyle m \angle G + {150}^{ \circ} = {180}^{ \circ} [/tex]
cancel 150° from both sides
[tex] \displaystyle m \angle G = {30}^{ \circ} [/tex]
Someone help please!!!!
Answer:
26.563, 1.977
Step-by-step explanation:
I will be honest I'm not 100% sure but i believe that the total distance all together is 26.563. I simply added all the distances.
Jada ran 1.977 miles further than Noah.
I'm so sorry if im wrong hope this helps though <3
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
x = 51.5
Step-by-step explanation:
In a competative exam of 40 questions plus three months is awarded for a correct answer and minus one for every correct answer to find the total score for student had 11 wrong answers in his attempt of all questions.
Answer:
76
Step-by-step explanation:
n a competitive exam of 40 questions, +3 is awarded for a correct answer and -1 for every wrong answer. Find the total score if a student had 11 wrong answers in his attempt of all questions.
Answers gotten wrong = 11
answers gotten right = 40 - 11 = 29
total score = (point for correct answer x number of correct answer) + (point for wrong answer x number of wrong answer)
(+3 x 29) + (-1 x 11) = 76
Use the law of sines to complete an expression that represents the angle measure x
answer please no linkd or files
the answer is F
or x=3
Hope this helped!
Which statement about odd numbers is true?
A. If x is odd then x2 is even.
B. If x is odd then 2x is even.
C. If x is odd then x3 is even.
D. If x is odd then 3x is even.
Whats the value of b?
Answer:
b = 5
Step-by-step explanation:
This triangle is a 30 - 60 - 90 special right triangle
As you can see in the image provided below the longer leg is equal to the short leg times √3
This means that the short leg is equal to the long leg divided by √3
Thus, b = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex] which is equivalent to 5
Jajakskssjjsskzkzjjzzjsjsjsjzjzjzj please answer
Answer:
well it stopped on the 8 intercept means stop or cut off so
Step-by-step explanation:
i's say 8
The radius of a circle is 8 feet. What is the circle's area?
Use 3.14 for .
Answer:
50.27
Step-by-step explanation:
remember that the circumference of a circle is 2πr
so 3.15x8 and then multiply by two
Answer:
200.96 ft²
Step-by-step explanation:
Step 1: Define/formula
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
[tex]a=\pi r^2(3.14*radius*radius)[/tex]
Step 2: Solve
According to the word problem, the radius is 8.
From here, we plug the numbers into the formula.
[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]
Step 3: Conclude
Therefore, the area of this circle is 200.96 ft.²
PLEASE HELP FAST!
The number 44 is multiplied by a 44-digit number that contains only ones. What is the sum of the digits of the product?
Answer:
352.
Step-by-step explanation:
The product will have 45 digits, the fisrt and last digit will be 4 and the middle 43 will be 8.
So the sum = 2*4 + 43*8
= 352.
5(y+25)=−13 what is y
Answer:
y = -27.6
Step-by-step explanation:
To solve for y, you need to isolate the variable on one side of the equation. [tex]5(y+25)=-13[/tex] ⇒ [tex]y + 25 = -2.6[/tex] ⇒ [tex]y = -27.6[/tex].
Answer:
-27.6
Step-by-step explanation:
[tex]5(y + 25) = -13[/tex]
First, distribute the problem.
[tex]5y + 125 = -13[/tex]
Secondly, subtract 125 from -13 and 125.
[tex]125 - 125 = 0[/tex]
[tex]-13 - 125 = -138[/tex]
Now, we are left with 5y = -138.
Lastly, we divide -138 by 5.
[tex]-138 / 5 = -27.6[/tex]
Therefore, y is -27.6.
Here's an attachment to make this explanation clearer.
please help asap will mark brainliest for correct awnser
Answer:
Option 3
Step-by-step explanation:
Can someone help me
I'll help.
A student needs 15 minutes to solve an algebra problem. How many minutes does the student need to solve 5 problems?
it's easy, you only need to divide 15 by 5.
Like this :
15÷5= 3
• because 5×3 = 15 , so you just need to flip it over
so, the student need 3 minutes to solve 5 problems
Please help with this question!
Factor the following: x^2-7
Answer:
the answer is 0
hope it helps have a nice dayyy
Find the value of x in the triangle shown below
X=_____
Enter the decimal equivalent of 53/100
if 4^(x+2) = 48 what is 4^x
Answer:
3
Step-by-step explanation:
[tex]4^{(x+2)} = 48 \\ \\ {4}^{x} . {4}^{2} = 16.3 \\ \\ {4}^{x} . \cancel {16} = \cancel {16} .3 \\ \\ {4}^{x} = 3[/tex]
find the area of the parallelogram
Answer:
answer: 12
Step-by-step explanation:
You get 12 by doing base × height. So our base in this problem is 2.5 and our height is 4.8 so
2.5 × 4.8 = 12 Hope this helps!
a circle is inscribed in a equilateral triangle. A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
Answer:
60%
Step-by-step explanation:
Im almost positive this is right if not sorry have a blessed day :)
whats the answer to this ill give brainliest
Answer:
80
Step-by-step explanation:
110-180=70
30+70=100
100-180=80
Answer:
I think the answer is 80
Step-by-step explanation:
What is the radius of the circle?
Answer:
8×ED=3×15
ED=45/8
the radius is the half of the diameter
so its 45/16
Answer:
[tex] \frac{ae}{be} = \frac{ce}{de} = \frac{bc - be}{ad - ae} \\ \\ = > \frac{8}{3} = \frac{15 - 3}{ad - 8} \\ \\ < = > \frac{8}{3} = \frac{12}{ad - 8} \\ \\ = > ad - 8 = \frac{12 \times 3}{8} = 4.5 \\ \\ < = > ad = 4.5 + 8 = 12.5 \\ \\ = > r = 12.5 \div 2 = 6.25[/tex]
Find the measure of the missing angles.
g=
h=
m=
k=
(NO FILES) YOU WILL GET MARKED BRAINLY :)!!
Answer:
g. 92*
h. 88*
m. 89*
k. 91*
Step-by-step explanation:
To find h and m: All of the angles on a straight line added up equals 180*. So if there are two angles, the sum of them must equal 180* (angle A + angle B = 180*)
So in this case we have angle h + 92* = 180* using algebra, we subtract 92 from both sides and we get angle h = 88*
If you want to check, add 92 + 88 = 180.
Also angle m + 91* = 180*. Same thing as above, subtract 91 from both sides and we get angle m = 89*
If you want to check, add 91 + 89 = 180.
When you have two straight lines intersecting (crossing), the opposing angles at that crossing are going to be equal. So in this case angle g is opposite from the anbgle that we know is 92*, so angle g is also 92*. Same thing for angle k, we know the angle opposite angle k is 91*, so we know that angle k is also 91*.