The red marbles are 3/10 of the total.
The blue ones are 5/10 of the total.
The green ones are 2/10 of the total.
Of these, 5/10=1/2=(1×4)/(2×4)=4/8
Therefore, five tenths is equivalent to four eighths.
Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.
9514 1404 393
Answer:
ΔABC ~ ΔPQRPQ = 8PR = 14Step-by-step explanation:
Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...
ΔABC ~ ΔPQR by AA similarity
__
The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.
PQ = 2·AB = 2·4 = 8
PR = 2·AC = 2·7 = 14
The side lengths of interest are ...
PQ = 8, PR = 14
PLEASE HELP ASAP!!! 15 POINTS.
Answer:
option 4
Step-by-step explanation:
Hey There!
A line that has a negative slope will be going from left to right downwards if that makes sense
Thus meaning that option 4 has a negative slope
2 + 14 + 2 − 12 = -4
Answer:
The answer is actually 6.
Answer:
no, it's 6.
Step-by-step explanation:
Translate "Twelve less than two-thirds a
number is 48" into an equation.
#17
Answer:
2/3x - 12 = 48
Step-by-step explanation:
Answer: 90% of 40 is 36. Therefore, 36 students are present in the class.
Learning Task 1
Find the percentage of the following number.
1. 45% of 20
2. 40% of 85
3. 70% of 60
4. 35% of 140
5. 5% of 360
if x varies directly as y, and y=6 when x=27, find x when y=2
Answer:
x = 9
Step-by-step explanation:
Given y varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition y = 6 when x = 27
27 = 6k ( divide both sides by 6 )
4.5 = k
x = 4.5y ← equation of variation
When y = 2 , then
x = 4.5 × 2 = 9
Ryan has scores 32, 26, and 23 points in his four basketball games so far. How many points does he need to score in his next game so that his average (mean) is 26 points per game?
Answer:
23
Step-by-step explanation:
Ryan needs to score a 23 this game because if you add all the numbers together (32 + 26 + 23 + 23) then divide them
(32 + 26 + 23 + 23)/4
You will get 23.
Answer:
23 points
Step-by-step explanation:
Let's first start out by first finding the current mean. We can find this by:
[tex]\frac{32+26+23}{4}=27.[/tex]
So we know that his current average is 27 points per game, and we need the average to be 26. So, to find out the total number of points he scores from his 1st, 2nd, 3rd, and 4th game, we will do:
[tex]26\cdot4=104[/tex]
So if he needs 104 points in total to have an average of 26. So, we would subtract his total number of points from his 1st, 2nd, and 3rd game, from 104. If we do this, we would get:
[tex]104-(32+26+23)=104-81=23[/tex]
So he would need to score 23 points next game to have an average of 26 points.
Find the value of x. Then find the measure of each interior angle. Show work algebraically
Answer:
Step-by-step explanation:
W=180-144
W=36 degrees
The sum of angles in a triangle always sum to 180 degrees.
6x+1+7x+36=180
13x+37=180
13x=143
x=11
U=6x+1
U=6(11)+1=67 degrees
V=7x
V=7(11)=77 degrees so
x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.
this cuboid is made from cm squares
a)write down the volume of the cuboid
b)the cuboid is then split apart into these smaller cuboids. how many of these can be made?
Answer:
Step-by-step explanation:
Each signal unit cubes are 1 cm to each side
the dimensions of the large cube is 4 by 6 by 3 width height and depth
a) volume of the cube Vol = area of the base times height
area of the base = the width times the depth
Volume = Base Depth
= Width x Depth x Height
= 4 x 3 x 6
= 12 x 6
Vol = 72 cm ³
b ) the volume of the smaller cuboid has different dimensions
the smaller cube is 2 by 2 by 1 width height and depth
Volume = Base Depth
= Width x Depth x Heigh
= 2 x 2 x 1
Vol smaller cuboid = 4
How many smaller cubes can be made?
The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.
Number of cuboid = Volume of the cube / Volume of the cuboid
= 72 / 4
= 18
Check this answer by dividing the dimension of the cube by the cuboid
4 by 6 by 3
2 by 2 by 1
(4/2) by (6/2) by (3/1)
2 by 3 by 3 = 2 x 3 x 3 = 18
Anna put $500 into a savings account and made no more deposits or withdrawals. The account earns 2% simple interest per year. How much money will be in the account after 5 years?
Answer:
50
Step-by-step explanation:
What I did was 2 divided by 100 = 0.02 Then multiply 0.02 times 500 and you should get 10 then multiply by how many years of interest and you get 50
hope this helped!00:00 Is the relation shown below a function? Use the graph and justify your answer (0, 0), (2.0), (2, 2), (3, 4) and (6,6) y 9 8 7 6 on 4 3 2 1 х 0 0 1 2 3 4 5 6 7 8 9 00:00 Yes, each x-value has a unique y-value 00:00
No; Two points have different y-values for the same x-value of 2.
Step-by-step explanation:
Find the area of the figure.
Answer:
249.86 ft^2
Step-by-step explanation:
12.4 ft × 9.3 ft ÷ 2 = 57.66 sq ft(for triangle)
57.66+(12.4 ft×15.5 ft) = 249.86 sq ft
brainliest plz
use the distributive property to remove the parentheses , 12(3-y)
at a school, 40% of the sixth grade students said that hip hop is their favorite kind of music. if 100 sixth grade students perfer hip hop music, how many sixth grade students are at the school?
Answer:
Step-by-step explanation:
250 students are in the 6th grade have a good night it is night hear if you live in America east side 10:34 PM
i need help! and ill give brainliest
Answer:
54 and 27
Step-by-step explanation:
Number 7 is 54 and number 8 is 27
Find a and b please fasttt
Answer:
Step-by-step explanation:
to find the angle A
360-230=130
angle B=180-130=50
Find the distance between the pair of points.
(6, 6) and (6, −2)
The distance between the pair of points is units.
Answer:
(6-6)+(6-2)=0+4
sqr(4)^2=4
Tim is 5 pounds heavier than Amy. Let Amy's weight will be x pounds
A) Express Tim's weight in terms of x
b) if Tim's weight is 126 pounds, what is Amy's weight?
(show you work)
Answer:
A) x+5
B) 121
Step-by-step explanation:
A) If Tim is 5 pounds heavier than Amy, an equation for this situation can be modeled by x+5, where Amy is x pounds.
B) If Tim is 126 pounds, then Amy's weight is 126-5=121 pounds.
Find the value of x.
Answer:
x = 35°
Step-by-step explanation:
These two angles are alternate angles so they both are equal.
5x - 54 = 3x + 16
5x - 3x = 16 + 54
2x = 70
x = 70 ÷ 2
x = 35°
ZB=
Round your answer to the nearest hundredth.
B
?
5
2
С
А
Answer:
angle B = 66.42
Step-by-step explanation:
cos-1 B = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos-1 B = [tex]\frac{2}{5}[/tex]
cos-1 B = 0.40
cos-1 of 0.40 is 66.4218
round to the nearest hundreth = 66.42
angle b = 66.42
What is 7 (x+3) -7 = y simplified
Answer:
7 (x+3) -7 = y
7x+21-7=y
7x+14=y
Write the equation for each table
Answer:
Step-by-step explanation:
First table:(left)
(1, 15) (2, 30)
(30 - 15)/(2 - 1) = 15/1 = 15
y - 15 = 15(x - 1)
y - 15 = 15x - 15
y = 15x
Second table:(right)
(0, 10) (1, 25)
(25 - 10)/(1 - 0)= 15/1= 15
y - 10 = 15(x - 0)
y - 10 = 15x - 0
y = 15x + 10
What expression is equivalent to (x+5)2-(x-3)(x+5).
Answer:
The answer is -x^2+25
PLEASE MARK BRANLIEST
Step-by-step explanation:
Answer:
-x^2+5
Step-by-step explanation:
i didnt quite understand the question but this is the equation simplified
what's the answer to -1.3g + 1.9 = -11.1
Answer:
g = 10
Step-by-step explanation:
-1.3g + 1.9 = -11.1
-1.3g = -11.1 - 1.9
-1.3g = -13
g = 10
Your classmates Sarah, Gene and Paul are proposing plans for a class fundraiser. Each presents his or her proposal for the amount of money raised, y, for x number of hours worked, in different ways.
Answer:
yx
Step-by-step explanation:
The answer is yx
We can draw the conclusion that linear functions can be used to represent each of the ideas. Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).
What is "Linear Function" ?A linear function is denoted by the equation y = mx + b, where m is the slope or unit rate between the two variables, x and y, and b is the beginning value or y-intercept.
The initial value is b.
A linear function is a graph with straight lines.
A unit rate exists for all linear functions (b).
here, we have,
given that,
Sarah's suggestion can be expressed by a linear function because the graph that represents it is a straight line.
Gene's Proposal's table displays the unit rate as change in y/change in x = 7. As a result, a linear function can be used to express it.
Paul's idea has a linear function as its equation.
This leads us to the conclusion that linear functions can be used to represent each of the ideas.
Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).
Learn more about Linear Function Visit:
brainly.com/question/15602982
#SPJ3
All solid objects conduct heat although some are better conductors than others in this sentence what's part of speech does the word although mean?
adjective
preposition
adverb
conjunction
helpp
what is the answer for 9k^2=225
9k² = 225
k² = 225 : 9
k² = 25
k = -5 and k = 5 because :
(-5)² = (-5) * (-5) = 25
5² = 5 * 5 = 25
At a taffy pull, George stretched the taffy to 3 feet. Jose stretched it 1_ 1 3 times as far as George. Maria stretched it _ 2 3 as far as George. Sally stretched it _ 6 6 as far. Who stretched it the farthest? The least?
Answer:
Jose stretched the taffy the farthest and Maria stretched it the least
Step-by-step explanation:
Distance stretched by George = 3 feet
Distance stretched by Jose is [tex]1\dfrac{1}{3}[/tex] times as much as George so
[tex]3\times 1\dfrac{1}{3}=3\times\dfrac{4}{3}=4\ \text{feet}[/tex]
Distance stretched by Jose is [tex]4\ \text{feet}[/tex]
Maria streched the taffy [tex]\dfrac{2}{3}[/tex] times as George
[tex]3\times \dfrac{2}{3}=2\ \text{feet}[/tex]
Maria stretched the taffy by [tex]2\ \text{feet}[/tex]
Sally stretched it [tex]\dfrac{6}{6}[/tex] so [tex]1\ \text{feet}[/tex]
So, Jose stretched the taffy the farthest and Maria stretched it the least.
first person to answer all of these questions gets brainliest, also upping points to 50
Answer:
#1
Ratio of 45-45 and 30-60-90 triangles
45-45
a : b : c = 1 : 1 : √230-60-90
a : b : c = 1 : √3 : 2a)
b = 10/2 = 5a = 5√3b)
k = l = 6√2/√2 = 6#2
Find x
7/x = cos 66°x = 7/ cos 66°x = 17.2Find y
y/x = sin 66°y = 17.2 sin 66°y = 15.7#3
a) sin A = 5/13
b) cos A = 12/13
c) tan A = 5/12
d) A = arcsin (5/13) = arccos (12/13) = arctan (5/12) = 22.6°
2/5
Convert
into percentage.
Answer:
40%
Step-by-step explanation:
2/5*100
hope this helps
