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2 years ago

Solve and express to the lowest term 3 1/2 x 2 1/3 = ?

Mathematics

2 answers:

Rina8888 [55]2 years ago

4 0

Answer:

8 $\frac{1}{6}$

Step-by-step explanation:

3 $\frac{1}{2}$ × 2 $\frac{1}{3}$ ( change to improper fractions )

= $\frac{7}{2}$ × $\frac{7}{3}$ ( multiply numerators and denominators )

= $\frac{7(7)}{2(3)}$

= $\frac{49}{6}$

= 8 $\frac{1}{6}$

pentagon [3]2 years ago

3 0

Answer:

come in imzhzpwhdp in the

Step-by-step explanation:

meet

You might be interested in

If BC = 6 and AD = 5, find DC. 4 4.5 7.2

anygoal [31]

Answer:

The length of CD is 4 units

Step-by-step explanation:

Given the triangle ABC and if BC = 6 units and AD = 5 units

we have to find the length of DC.

In ΔABC and ΔBDC

∠ABC=∠BDC (each 90°)

BC=BC (common)

∠C=∠C (Common)

By ASA rule, ΔABC≈ΔBDC

Therefore their corresponding sides are in proportion

$\frac{BC}{AC}=\frac{BD}{AB}=\frac{CD}{BC}$

$\frac{BC}{AC}=\frac{CD}{BC}$

Let CD=x units

$BC^2=(AC)(CD)$

$6^2=(AD+CD)CD$

$36=(5+x)x$

$36=5x+x^2$

$x^2+5x-36=0$

$x^2+9x-4x-36=0$

$x(x+9)-4(x+9)=0$

$(x-4)(x+9)=0$

x=4, -9

Distance can't be negative therefore

The length of CD is 4 units

4 0

3 years ago

What is an equation, in standard form, of the line through (1, 7) and (-2, -3)?

stellarik [79]

Answer:

y= 1/3x + 3.66

Step-by-step explanation:

4 0

3 years ago

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

4 years ago

Evaluate x - 7 for x = 14.

Aleksandr-060686 [28]

Answer:

x=21

Step-by-step explanation:

x-7=14

add 7 to both sides

x=21

8 0

3 years ago

If an experimenter sets equal to .01, then she is defining a "statistically rare" event as an event occurring more than one time

Fynjy0 [20]

Answer:

The correct answer is an event occurring one or fewer times in 100 times if the null hypothesis is true.

Step-by-step explanation:

For a statistically rare event, its probability is relatively small and the event is very unlikely to occur. Therefore, if an experimental sets equal to 0.01 which is statistically rare, then we can interpret this mathematically as:

p(event) = 0.01 = 1/100

where p(event) is the probability of the event.

In addition, statistically, null hypothesis signifies no major difference between the specified parameters, and any obvious difference that might occur as a result of experimental error. Thus, it can be concluded that the event is occurring one or fewer times in 100 times if the null hypothesis is true.

3 0

3 years ago