What did the student do wrong?

3 1/2 - 1 1/3 x x= 1

slamgirl [31]

Answer:

The value of x for the given expression is $\frac{15}{8}$

Step-by-step explanation:

Given as :

The expression is written

3 $\dfrac{1}{2}$ - 1 $\dfrac{1}{3}$ × x = 1

Or, 1 $\dfrac{1}{3}$ × x = 3 $\dfrac{1}{2}$ - 1

Or, $\frac{(1\times 3) + 1}{3}$ × x = $\frac{(3\times 2) + 1}{2}$ - 1

Or, $\dfrac{4}{3}$ × x = $\dfrac{7}{2}$ - 1

Or, $\dfrac{4}{3}$ × x = $\dfrac{7-2}{2}$

Or, $\dfrac{4}{3}$ × x = $\dfrac{5}{2}$

∴ x = $\frac{\frac{5}{2}}{\frac{4}{3}}$

Or, x = $\frac{5\times 3}{2\times 4}$

I.e x = $\frac{15}{8}$

So, The value of x = $\frac{15}{8}$

Hence The value of x for the given expression is $\frac{15}{8}$ Answer

6 0

3 years ago

Julio is 36 years old, and James is 11 years old. In how many years will Julio’s age be twice a many as James’s age?

boyakko [2]

Answer:

in 14 years Julio will be 50 and James will be 25

6 0

4 years ago

This is a geometry question, i need something quickly :)

Marysya12 [62]

Answer:

hope it helps mark me brainlieast!

Step-by-step explanation:

For triangle ABC with sides a,b,c labeled in the usual way,

c2=a2+b2−2abcosC

We can easily solve for angle C .

2abcosC=a2+b2−c2

cosC=a2+b2−c22ab

C=arccosa2+b2−c22ab

That’s the formula for getting the angle of a triangle from its sides.

The Law of Cosines has no exceptions and ambiguities, unlike many other trig formulas. Each possible value for a cosine maps uniquely to a triangle angle, and vice versa, a true bijection between cosines and triangle angles. Increasing cosines corresponds to smaller angles.

−1≤cosC≤1

0∘≤C≤180∘

We needed to include the degenerate triangle angles, 0∘ and 180∘, among the triangle angles to capture the full range of the cosine. Degenerate triangles aren’t triangles, but they do correspond to a valid configuration of three points, namely three collinear points.

The Law of Cosines, together with sin2θ+cos2θ=1 , is all we need to derive most of trigonometry. C=90∘ gives the Pythagorean Theorem; C=0 and C=180∘ give the foundational but often unnamed Segment Addition Theorem, and the Law of Sines is in there as well, which I’ll leave for you to find, just a few steps from cosC= … above. (Hint: the Law of Cosines applies to all three angles in a triangle.)

The Triangle Angle Sum Theorem, A+B+C=180∘ , is a bit hard to tease out. Substituting the Law of Sines into the Law of Cosines we get the very cool

2sinAsinBcosC=sin2A+sin2B−sin2C

Showing that’s the same as A+B+C=180∘ is a challenge I’ll leave for you.

In Rational Trigonometry instead of angle we use spreads, squared sines, and the squared form of the formula we just found is the Triple Spread Formula,

4sin2Asin2B(1−sin2C)=(sin2A+sin2B−sin2C)2

true precisely when ±A±B±C=180∘k , integer k, for some k and combination of signs.

This is written in RT in an inverted notation, for triangle abc with vertices little a,b,c which we conflate with spreads a,b,c,

(a+b−c)2=4ab(1−c)

Very tidy. It’s an often challenging third degree equation to find the spreads corresponding to angles that add to 180∘ or zero, but it’s a whole lot cleaner than the trip through the transcendental tunnel and back, which almost inevitably forces approximation.

6 0

3 years ago

Round 6,877 to the nearest whole number.

Snowcat [4.5K]

When you round that number you get 7,000

4 0

3 years ago

A juice container is a square prism with base edge length 4 inches. When an 8-inch straw is inserted into the container as shown

yKpoI14uk [10]

The answer is 7 inches

4 0

3 years ago