Given:
The area of a rectangle = 14 square units.
The side lengths are a and b.
[tex]a=2\dfrac{1}{3}[/tex]
To find:
The value of b.
Solution:
We know that, the area of a rectangle is:
[tex]Area=Length\times Width[/tex]
The area of the given rectangle is:
[tex]14=a\times b[/tex]
[tex]14=2\dfrac{1}{3}\times b[/tex]
[tex]14=\dfrac{2(3)+1}{3}b[/tex]
[tex]14=\dfrac{6+1}{3}b[/tex]
On further simplification, we get
[tex]14=\dfrac{7}{3}b[/tex]
[tex]14\times 3=7b[/tex]
[tex]42=7b[/tex]
Divide both sides by 7.
[tex]\dfrac{42}{7}=b[/tex]
[tex]6=b[/tex]
Therefore, the value of b is 6 units.
Can someone help and give me a step by step explanation please?!
9514 1404 393
Answer:
∠QSR = 78°∠SQR = 51°Step-by-step explanation:
The measure of an inscribed angle (QTR) is half the measure of the arc it intercepts. The measure of an arc is the same as the measure of the central angle it intercepts. So, we have ...
∠QSR = 2×∠QTR
∠QSR = 2×39°
∠QSR = 78°
__
Sides SQ and SR are radii of circle S, so are the same length. That means triangle QRS is an isosceles triangle and the base angles SQR and SRQ are congruent. The sum of angles in a triangle is 180°, so we have ...
∠QSR + 2(∠SQR) = 180°
78° + 2(∠SQR) = 180° . . . . fill in the value we know
2(∠SQR) = 102° . . . . . . . . . subtract 78°
∠SQR = 51° . . . . . . . . . . . . .divide by 2
Find cosθ, tanθ, and cscθ, where θ is the angle shown in the figure.
Give exact values, not decimal approximations.
Answer:
Cos(θ) = 7/√58 ; Tan(θ) = 3/7 ; Csc(θ) = √58/3
Step-by-step explanation:
First, let's solve for the hypotenuse by using the Pythagorean Theorem.
a² + b² = c²
⇒ 7² + 3² = c²
⇒ 49 + 9 = c²
⇒ 58 = c²
⇒ √58 = c
Now that we know the hypotenuse is √58, we can solve for the trig ratios.
Cos(θ) = adjacent/hypotenuse = 7/√58
Tan(θ) = opposite/adjacent = 3/7
Csc(θ) = hypotenuse/opposite = √58/3
Question 1
A rectangular prism has a volume of 110 cm cubed, a length of 10 cm, and a width of
5 cm. What is the height of
the prism?
A: 5,500 cm
B: 2.2 cm
C: 125 cm
D: 95 cm
Answer:
B 2.2cm
Step-by-step explanation:
10 x 5 =50
110/50 = 2.2
Answer = B
The measures of the angles of a triangle are shown in the figure below. Solve for x. 620 39°
Answer:
6.29
hope this helped
Step-by-step explanation:
:)
Please help me i need to pass math class
Simplify each expression.
1. (-6p - 8) - (2p - 6)
2. (-8r - 2) + (4r - 3)
3. (-z - 8) - (6z - 5)
4. (-s - 5) + (-2s + 2)
5. (-7s + 4) - (-8s + 4)
6. (-4f + 9) - (8f + 9)
7. (-8f) + (-f + 8)
8. (4p - 4) + (-7p - 7)
9. (7v - 9) - (6v + 9)
10. (-3g) + (5g - 5)
Question
2
1 pts
José invested $3000 in a 5 yr GIC that paid 3.95%/yr, compounded annually.
Answer:
this doesn't make any sense
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. Bethany collected 200 survey responses regarding recycling behaviors in her city. Of those responses, 174 people responded that they participate in the city’s recycling program. Use this information to complete the statement. Round all answers to the nearest hundredth. The approximate sample proportion is , which means that % of the people surveyed do not participate in the city’s recycling program.
Answer:
13% did not participate in citys recycling program not sure about the first part
Step-by-step explanation:
Answer:
Step-by-step explanation:
Need help with the answer please and thank you
couldn’t find an answer any where.
Answer:
C maybe I not sure
Step-by-step explanation:
Answer:
I think its B but I'm not sure sorry if it's not correct you might have to wait and see if someone else answers
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
1.324
Step-by-step explanation:
Just divide 1324 by 1000 to get your conversion rate which is 1.324
If you check, to convert $1000 into Japanese Yen, by multiplying 1.324 with $1000, you'll get 1324 Yens
The points (-3, -3) and (5, r) lie on a line with slope 3/2
Find the missing coordinate r.
Answer:
The missing coordinate [tex]r[/tex] is 9.
Step-by-step explanation:
Given the points [tex]P(x,y) = (-3,-3)[/tex] and [tex]Q(x,y) = (5,r)[/tex], the slope of a line passing the two points ([tex]m_{PQ}[/tex]) is determined by equation of secant line:
[tex]m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (1)
[tex]m_{PQ} = \frac{r-(-3)}{5-(-3)}[/tex]
If we know that [tex]m_{PQ} = \frac{3}{2}[/tex], then the value of [tex]r[/tex] is:
[tex]\frac{3}{2} = \frac{r+3}{8}[/tex]
[tex]12 = r + 3[/tex]
[tex]r = 9[/tex]
The missing coordinate [tex]r[/tex] is 9.
Use synthetic division to solve
4/15 times 6 in simplest form
Answer:
8/5
Step-by-step explanation:
The value of the expression (4/15) x 6 will be 8/5.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and correctly.
The numbers are given below.
4/15 and 6
Then the multiplication between the numbers 4/15 and 6 will be given by putting a cross sign between them. Then we have
⇒ (4/15) x 6
⇒ 8/5
The value of the expression (4/15) x 6 will be 8/5.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Find the area.........
The points in the shaded region satisfy three inequalities. y≥1 is one of them. Which of these are the other two inequalities.
30 POINTS IF ANSWER IS RIGHT
Answer:
A and E
Step-by-step explanation:
Answer:
A and E
Step-by-step explanation:
PLS HELP ILL GIVE BRAINLIEST TO THE RIGHT ANSWER
Answer:
c.
Step-by-step explanation:
for this peoblem, an open dot would be used to indicate >. so in this, the arrow would be moving right to indicate a positive change in the number with the open dot to insight that it is greater than the original number.
this. RNNNN no month later answers
Answer: 5) Decrease 6) -44.4%
Step-by-step explanation: Percent change formula is as follows: final - initial / initial
(10-18)/18 = -8/18 = 0.44444 to turn into a percent multiply by 100 to get 44.4 percent change when rounded
The line m has a slope of 4. What is the slope of a line perpendicular to line m?
Answer:
-1/4
Step-by-step explanation:
Answer:
In order to make a slope perpendicular, you have to change its sign depending on whether it is negative or positive. And you have to change it upside down (its reciprocal)
Therefore,
-1/4
Someone please help I will mark brainliest
1. In triangle ABC, the measure of ∠ABC is 42°, and the measure of ∠BCA is 113º.
What is the measure of ∠CAB?
How do you know that is the answer?
Answer:
if I am correct it would be 25 degrees. hope this helps!
Step-by-step explanation:
Ben takes a 45 minute test. After answering 10 questions, the timer indicates that one-fifth of the total time is up. How much time did Ben take to answer the 10 questions *
it took Ben 9 minutes to answer 10 questions
9m + 19 − 14 + 4n Please solve.
Answer:
9m+4n+5
Step-by-step explanation:
9m
19 - 14 = 5
4n
so we can combined the 9m,5,4n to 9m+4n+5
Answer:
9m+4n+5
Step-by-step explanation:
Combine the like terms:
9m+19+-14+4n
=(9m)+(4n)+(19-14)
=9m+4n+5
What is the solution to the inequality-6(p-8)<-12
Answer:
p < 10
Step-by-step explanation:
-6 (p - 8) < -12
-6p + 48 < -12
- 48 -48
-6p < -60
/-6 /-6
p < 10
look at the bottom of the pictures to see what number it is
Step-by-step explanation:
hence the value of y=-9/4and k=-16.
HELP ME PLS NOW I NEED YOU PPLS BRAINS
Answer:
C and D
Step-by-step explanation:
I went to a website (https://mathbitsnotebook.com/JuniorMath/Equations/IQBasicInequalities.htm) and double-checked what the correct answers were. I apologize for the hassle I may have caused you.
In a survey, some children were asked to choose whether they like to stay up late or get up early.
35% of the students said they prefer to get up early. 28 students prefer getting up early. How many students in total were surveyed?
students
Answer:
80 Students
Step-by-step explanation:
So I set up my problem like this(This is a way to figure a certain amount of a percent or vice versa):
35 28
____ = _____
100 x
First, you do 100 x 28= 2800
Second, do 2800 divided by 35= 80
The number in students surveyed is 80.
A(b) is a function.
. A(b)
A. True
B. False
Answer:
B
Step-by-step explanation:
NOTE:
it might be wrong since im in geometry, not algebra, i used to know this
Find the area of a circle with radius, r = 7.49m. Give your answer rounded to 2 DP.
Answer:
Area ≈ 176.24m²
Hope it helps
Please mark me as the brainliest
Thank you
1 4/5 divided by 1 1/5
fraction has to be in its simplest form
Answer:
14/11
Step-by-step explanation:
cause when u divide you have to switch the second fraction; it's called the reciprocal.
do crossed division and you'll get 14/11.
Answer:
1 1/2
Step-by-step explanation:
1 4/5 ÷ 1 1/5
convert to full fractions:
9/5 ÷ 6/5
9/5 x 5/6 = 45/30 = 1 1/2
After reading the article, why do you think that Hinduism and Buddhism are often taught together? In your opinion, what are some of the most important differences? HELP ME PLEASE HELP ME
Answer:
because they are both similar. they both accept the law of karma and release from the cycle of birth. one of the key differences is
buddhist only believe in one god. hinduism believes in multiple gods
Answer:
hey emanii
Step-by-step explanation: