Consider triangle ABC. What is b?

Please answer question now

eimsori [14]

Answer:

3x3÷2= 4.5cm^2

The formula is 1/2×base×slanted height

Step-by-step explanation:

3 0

3 years ago

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When Theresa walks at a pace of 88 steps per minute, it takes her 90 minutes to walk the trail. If she alters her pace to 33 ste

jarptica [38.1K]

Answer: 33 minutes

Step-by-step explanation:

Hi to answer this question we have to write a proportion

Speed rate = 88 step per minute

Time = 90 minutes

So, the proportion is 88 step/min / 90 minutes

For 33 steps per minutes = 33 / x minutes

88/90 = 33/x

solving for x:

x= 33/ (88/90)

x = 33.75 = 33 minutes.

Feel free to ask for more if needed or if you did not understand something.

5 0

3 years ago

Find the value of BC. HELP PLEASE!!

Masteriza [31]

It's an equilateral triangle, therefore

AB = BC = BA

We have the equation:

$\dfrac{3}{2}x-12=\dfrac{1}{2}x-2\qquad\text{multiply both sides by 2}\\\\3x-24=1x-4\qquad\text{add 24 to both sides}\\\\3x=x+20\qquad\text{subtract x from both sides}\\\\2x=20\qquad\text{divide both sides by 2}\\\\x=10$

$BC=BA\to BC=\dfrac{1}{2}(10)-2=5-2=3$

<h3>Answer: BC = 3</h3>

6 0

3 years ago

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Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch

astraxan [27]

Answer: 1 3/4 cups of apples in each batch

Step-by-step explanation:

STEP 1

Writing out the equation to represent if 7 cups of apples make 4 batches One batch is as a result of how many cups of apples

LET x be number of cups of apples to make each batch

7 cups of apples = 4 Batches

x cups of apples = 1 Batch

STEP 2 Solving by cross multiplication

1 batch x 7 cups of apples = 4 batches X x cups of apples

x cups of apples=1 batch x 7 cups of apples / 4batches

x = 7 / 4 = 1 3/4

number of cups of apples to make each batch= 1 3/4

8 0

3 years ago

1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)

Sveta_85 [38]

Answer:

1. $-5x+3y+44=0$

2. $2x+y-2=0$

3. $2x+y-4=0$

Step-by-step explanation:

Standard form of a line is $Ax+By+C=0$ .

If a line passing through two points then the equation of line is

$y-y_1=m(x-x_1)$

where, m is slope, i.e., $m=\dfrac{y_2-y_1}{x_2-x_1}$ .

1.

The line passes through the points (7,-3) and (4,-8). So, the equation of line is

$y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)$

$y+3=\dfrac{-5}{-3}(x-7)$

$y+3=\dfrac{5}{3}(x-7)$

$3(y+3)=5(x-7)$

$3y+9=5x-35$

$-5x+3y+9+35=0$

$-5x+3y+44=0$

Therefore, the required equation is $-5x+3y+44=0$ .

2.

We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to $2 x + y =-5$ .

Slope of the line : $m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2$

Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).

Equation of line is

$y-2=-2(x-0)$

$y-2=-2x$

$2x+y-2=0$

Therefore, the required equation is $2x+y-2=0$ .

3.

We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to $2x + y =-5$ .

From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).

Equation of line is

$y-0=-2(x-2)$

$y=-2x+4$

$2x+y-4=0$

Therefore, the required equation is $2x+y-4=0$ .

5 0

3 years ago