the length of a rectangle is 4 1/6 inches and the width of the rectangle is 8 2/3 inches what is the area of the rectangle

I’ve never been so confused, this is due in a few minutes, pls help if you can!

algol13

Given:

m(ar QT) = 220

m∠P = 54

To find:

The measure of arc RS.

Solution:

PQ and PT are secants intersect outside a circle.

<em>If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$$\Rightarrow \angle P = \frac{1}{2} (m \ ar (QT) - m \ ar (RS ))$

$$\Rightarrow 54 = \frac{1}{2} (220- m \ ar (RS ))$

Multiply by 2 on both sides.

$$\Rightarrow 2 \times 54 = 2 \times \frac{1}{2} (220- m \ ar (RS ))$

$$\Rightarrow 108= 220- m \ ar (RS )$

Subtract 220 from both sides.

$$\Rightarrow 108-220= 220- m \ ar (RS )-220$

$$\Rightarrow -112= -m \ ar (RS )$

Multiply by (-1) on both sides.

$$\Rightarrow (-112)\times(-1)= -m \ ar (RS )\times(-1)$

$$\Rightarrow 112= m \ ar (RS )$

The measure of arc RS is 112.

6 0

3 years ago

Given functions f(x)=3x^2, g(x)= x^2-4x+5, and h(x)=-2x^2+4x+1<br> Rank them from least to greatest

Sindrei [870]

Ok, ranked by axis of symmetry

basically x=something is the axis of symmetry
the way to find the axis of symmetry is to convert to vertex form and find h and that's the axis of symmetry

but there's an easier way

for f(x)=ax^2+bx+c
the axis of symmetry is x=-b/2a
nice hack my teacher taught me

so

f(x)=3x^2+0x+0
axis of symmetry is -0/(3*2), so x=0 is the axis of symmetry for f(x)

g(x)=1x^2-4x+5,
axis of symmetry is -(-4)/(2*1)=4/2=2, x=2 is axis of symmetry for g(x)

h(x)=-2x^2+4x+1
axis of symmetry is -4/(2*-2)=-4/-4=1, x=1 is the axis of symmetry for h(x)

0<1<2
axisies
f(x)<h(x)<g(x)

order based on their axises of symmetry is f(x), h(x), g(x)

8 0

3 years ago

Line segment XY is a directed line segment beginning at point X(9, 2) and ending at point Y(-6, 2). Find the point Z on the line

lozanna [386]

Answer:

$(-\frac{3}{8},2)$

Step-by-step explanation:

Point Z divides XY into a 5:3 ratio, so Z is 5/3 of the way from X to Y. That ratio is k, found by writing the numerator of the ratio (5) over the sum of the numerator and the denominator (5 + 3 = 8). Our k value is 5/8. Now we will find the rise and run values which is the slope of this line segment:

$m=\frac{2-2}{-6-9} =\frac{0}{-15}$

Coordinates are found in this formula:

$Z(x,y)=(x_{1}+k(run),y_{1} +k(rise))$

Filling that in:

$Z(x,y)=(9+\frac{5}{8}(-15),2+\frac{5}{8}(0))$

which simplifies to

$Z(x,y)=(9-\frac{75}{8},2+0)$

which gives us the final coordinates of Z to be $Z(x,y)=(-\frac{3}{8},2)$

7 0

3 years ago

Beth bought two pairs of earrings for $12.00 each. She also had to pay 6% sales tax. What was her total bill?$12.72$19.20$25.44$

Zinaida [17]

Beths earrings were $25.44 after taxes.

6 0

3 years ago

Read 2 more answers

Keneda dropped her folder in the hallway and her geometry notes went everywhere. Sophia is helping her gather her notes and pick

Gala2k [10]

The diagram involves the construction for copying angle FDE as angle HCG.

<h3>What is an angle?</h3>

An angles is formed by the intersection of two or more lines. Acute angles are angles less than 90 degrees, obtuse angles are greater than 90 degrees while right angles are equal to 90 degrees.

The diagram involves the construction for copying angle FDE as angle HCG.

Find out more on angle at: brainly.com/question/25770607

5 0

2 years ago